Chemistry-
General
Easy
Question
For 1 mol of an ideal gas,
in Fig.
I)
in Fig.
II)
in Fig.
III) and
in Fig.
IV) then which curves are correct
I) ![](data:image/png;base64,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)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/575769/1/1069146/Picture10.png)
III) ![](data:image/png;base64,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)
IV) 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)
- I, II
- I, II, III
- II, IV
- I, III, IV
The correct answer is: II, IV
if
, ![V subscript 1 end subscript less than V subscript 2 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAARCAYAAACW7F9TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAASdJREFUeNpjYECAw0BswIAdmALxBQb6Aaq6ZT4Qh+OQ2wvELnT0GFXdEg/EfVjEbYF4P5Udbg3EB+nlFpCmdVjEjwOxHpU9BAp1S3q5hQWI36GJeQDxUip4yJJID9HMLTeAmAOJfwaI5enoIZq5ZTkQe0HZoUDcQ2FM/QfiosHglhIgzoCyTwKxMBWS4H4othxIt/gA8UJoqVSNR50aENeSUJ/AkiQpHiTGLf+h+BcQHwViFVyGCUNLnqNo6RsdLAbiNKihpJa8h4n0ILFuAQEmIM4C4nP4FH2AOprYPEQOgHmQECDFLSDwA59kK4mFAy0BKW6xJ1Dpk1zqDQYgCU2ySsPJY6CCbAvUcwzDxWMgz2wDYj5qGzzQHgN5SoPaHkLHAwFwugMA/qVVsNEzA4AAAACOdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPlY8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPiZsdDs8L21vPjxtc3ViPjxtaT5WPC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD51esH6AAAAAElFTkSuQmCC)
Also ![log invisible function application P equals negative log invisible function application V plus log invisible function application R T](data:image/png;base64,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)
Related Questions to study
chemistry-
Distribution of molecules with velocity is represented by the curve
![](data:image/png;base64,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)
Velocity corresponding to point
is
Distribution of molecules with velocity is represented by the curve
![](data:image/png;base64,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)
Velocity corresponding to point
is
chemistry-General
physics-
Fig., here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20m The separation PQ is 5m, and phase of P is ahead of the phase of Q by 90o A, B and C are three distant points of observation equidistant from the mid-point of PQ The intensity of radiations of A, B, C will bear the ratio
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)
Fig., here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20m The separation PQ is 5m, and phase of P is ahead of the phase of Q by 90o A, B and C are three distant points of observation equidistant from the mid-point of PQ The intensity of radiations of A, B, C will bear the ratio
![](data:image/png;base64,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)
physics-General
physics-
Two identical narrow slits
are illuminated by light of wavelength
from a point source P If, as shown in the diagram above the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is that
![](data:image/png;base64,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)
Two identical narrow slits
are illuminated by light of wavelength
from a point source P If, as shown in the diagram above the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is that
![](data:image/png;base64,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)
physics-General
physics-
A ray of light of intensity I is incident on a parallel glass slab at a point A as shown It undergoes partial reflection and refraction At each reflection 25% of incident energy is reflected The rays AB and A’ B’ undergo interference The ratio ![I subscript m a x end subscript divided by I subscript m i n end subscript text is end text](data:image/png;base64,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)
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)
A ray of light of intensity I is incident on a parallel glass slab at a point A as shown It undergoes partial reflection and refraction At each reflection 25% of incident energy is reflected The rays AB and A’ B’ undergo interference The ratio ![I subscript m a x end subscript divided by I subscript m i n end subscript text is end text](data:image/png;base64,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)
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)
physics-General
physics-
A plane polarized beam of intensity I is incident on a polariser with the electric vector inclined at 30o to the optic axis of the polariser passes through an analyzer whose optic axis is inclined at 30o to that of polariser Intensity of light coming out of the analyzer is
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)
A plane polarized beam of intensity I is incident on a polariser with the electric vector inclined at 30o to the optic axis of the polariser passes through an analyzer whose optic axis is inclined at 30o to that of polariser Intensity of light coming out of the analyzer is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHYAAAB6CAYAAABqZadqAAAZvUlEQVR4nO2deXyM1/7H3zPZRBZLghBU7fu+U1TQqCW4hKJB5KrcUi5CSZuShFZubEU0sTQ0IoJSUktRxSXJD4klitpT1BJJJLJNZub7+wNzm6Iiicxkeb9e+SPzPOc8nzOf+T5nec45j0JEhFKKHUp9CyjlzVBqbDGl1NhiSqmxxZRSY4sppcYWU4zzlCoxjvCtP3HlQSYKpSLHIREtZap3w3X0O5T/y88mODiYxMREpk2blle9peQSRZ76sZdC6D9kCocf2lC7inmOQ6LVYtnKnc3B/6LGn4xNT0+nbt26WFhYEBkZia2tbX61l/I35C1iRYsqU0WryaHsn9USo78eVygx/ku0fvPNNyQnJ5OQkEBgYCCenp55unRBIqIh/VES6dkCAjy9+SiNzbCwtqbMcwUrOuTNWEChUKA0MsXU2BjFK85NTExk/fr1ZGRkABAREcHYsWOxt7fP6+ULBHXKbUJmu7D+nGDyzESFAqVpORp07I/LuH/Q8e2KRbIhkj/N2myy1RrUavWf/jRo/3JzX7NmDdevX9f9HxMTw5YtW/J16YJAslM5f/QIl9Mr0uG993ivTx/69HagSyNLTgVNZeTkZZy8r9K3zDyR94hVwrn1Uxh41ApyVNMmvDN1HZ6OlQCIj49n586dpKam6s5QqVSEh4czaNAgatWqlWfxBYGIBfW6DmP2nJFU0H2mZkBTNwZM3UJE1CjaDKz/fHVj4OTZWFBgaVefZs0roxCt7lPBiJo2Jrr/d+zYwcmTJ59LHR0dzYEDB3Bzc8u7hIJAIWhUmaSBzliFwpjqTVtSXXGQhJQUtFByjBWtUKvPJHxnNX+u0EqjJ9lev36dsLAwsrKynkuv1Wrx8/OjV69e+o9arRqVSsWTm66gzbpP1K7v+dW8Dm617DF5RXpDJB8RC0oTM8yMX56FtbU1PXv2pEaNGsTGxnLlyhVEhIYNG9K6dWuqVauGlZVVfiTkEwWmZbK48FMgk0bvxzxbg4iKhPiLxN1Q4ejuR/8OVfWoL+/ky9jMxFvc+N06Z8SKgFEZKtpVxsbGBh8fHwDWr1/PhAkT0Gq1jBs3Dg8PD+BJ61qviAJj07JYW5XDAlAojLCv157RXfvg1LcjVYpiuJJXYzUq0h+nErV6MoN/svxL4wmMrdrx+ZZABlZR6IzLzs7WHVer1fo3FABBlWlGI0d3ApZ9oKtjQYFByMsHeTO2Rk/mBm7iVmIa2ZrnB66UplVpaJlfaYXEs8aTQkFFfWspQPJmrHVtHJxqF7AU/SAiFMfZQUVxUKXgUCgxtyqHVVmzHF+ESqVi//79nD9/Xm/S8kuJNtbUphF+kbc5sHg0fx7cjIuLw9nZmcjISL1pyy/5ahUXB17UiFu5ciX29vb06tVLD4oKhhIdsS/i+vXrbN++nQEDBuh94CQ/lBr7FwICAjA1NeWjjz7St5R8UWrsn7h79y5hYWEMHDiwSEcrlBqbg+DgYJKTk5kyZYq+peSbUmOf8ujRI0JDQ+nTpw9NmjTRt5x8U+Jbxc8IDw/n+vXrrFixQt9SCoTSiAWSkpLYsmUL7du3p127dvqWUyCURixw5MgRjh07xnfffYe5ufmrExQBSnzEpqWlsXXrVpo2bUrnzp31LafAKPHGxsXFsX37dlxcXLCzs9O3nAKjRBur0WgIDw+nevXq9O7dW99yCpQSbWx8fDwhISE4OTlRv359fct5CULGvcv83+lLPHisznWqEm3spk2bUCqVjBw5Ut9SXoqoHrLbz5VhzhNYsSeOzFymK7HGJicns2rVKhwdHWnevLm+5byUx7d+ZnPEWdSq20SE7+VKcu7SlVhjN23axOPHjxk/fryBzL96EVqu7AzhlIUD//xkOHJiJz+fv5OrlCXS2OzsbFauXEn79u3p0qWLvuW8nOxLhIVFY916GP/6oBdtK14lbNcpEjWvTloijd28eTPx8fH8+9//NuBohcdRm9h1rRwOQ96nctXm9O7VlN++Dyf2j1fXtCXO2IyMDDZs2ED9+vUNvIuTyp7vInho143325uRkWlN+3e6USt5P9/+cp1XTb8rcUOKP//8M1FRUaxevRojIwNekXPnJ0IPXeJhYhb/GT8MY4wxTr3BjZR7XFu3ixsjGvK28cvvNiXKWJVKRVhYGDVr1jT4+UznftjOyYf2fDDpAxqYCFoRFKZdaFTFjIA96wk94Y5np5cvjylRxp46dYo9e/Ywd+5cKlY04Onh2XFsj4gks6kLcz09qWP2v8jMvlyR6CNTCVu3j6mdhmLxkixKTB2r1WrZsWMHFhYWvPfeewbcaBIeHolgZ/Q9OjoP5i2znDpN6g1kRJdKXN4RwNbr2S/JowQZe/nyZcLCwhg1ahR16tTRt5y/IZtrf6Ri12okbv3fesEt1ZZB48fSvWVZbp6799JcSsStWKvVsnfvXtLT03FyckKpNOTfsyntRvuya9TLVyJWeu9z9vYRFAoFDx484MKFC7Ru3RpLy/8tmDLkEhYYSUlJBAQE0L9/f1q2bKlvOblA8cqqQqFQcPr0acaOHcsHH3xAQEBAjgXmJSJi9+zZw4MHD3B2dsbMzEzfcgqEHTt2MGfOHC5cuADA+fPn0Wj+NyRV7I1Vq9UsWrSItm3bGnwXJzdotVp8fX1ZtWoVd+/eBaBLly5Mnz49x7SeYm/svn37uHLlCp9++ikmJkV0efpTEhISmDx5Mt9//z0qlQqlUsnw4cPx9/enWrVqOc4t1sZqNBq+/vpr6tSpw+DBg/UtJ1/ExsYybdo0fvnlFwDKly/PxIkTmTdvHqamps+dX6yNPX78OMePH2fRokUvLHxRITQ0lAULFujW6zZp0gQPDw9cXFxe2sgq1sYGBQVha2vL8OHD9S0lT2RlZeHt7U1gYCAPHz4EwNHRkblz59KhQ4e/TVtsjY2JieHgwYNMmTKFcuXK6VvOa3Pr1i2mT59OeHg4AEqlEldXV7y9vala9dVbFBVbYzdt2kR2djYjRozQt5TX5tixY3h4eOhW1NvY2DBjxgwmT56MhcXLRodzUiyNvXjxIj/88ANjx459rrVoyKjVakJDQ5kzZw63b98GoH79+vj7+zNgwIDXyqvYGSsi/PTTT9y9exdnZ+ci08VJTk5m2bJl+Pr6olY/mWb6zjvvEBgYSKNGjV47v2Jn7L179wgODmbw4ME0btxY33Jyxa+//srChQvZsGEDAJaWlowaNQpfX98878Re7MaKjx49ypUrVxg2bFiu6yN9EhERwfjx43WmVq1alYULF7JkyZJ8ba9frCI2LS2NgIAAOnfuTM+ePfUt55WsXLkSHx8f7t178vitfv36fPPNN7z77rv5zrtYGRsTE0N0dDQrVqygbNmy+pbzUlJSUpg/fz7Lly8nIyMDU1NTunbtyurVq6ldu2B2vCuSxmqyVShMTHPUIyLCokWLaNiwIUOGDNGbtldx5coVpk6dyu7duxERLC0tmTBhAj4+PgX6YyxaxmpTuHTsEJGX76MsV5vOPbpR9+lu5nFxcRw4cIAvvviC8uXL61noizlw4ADu7u5cvXoVEaFatWp4e3szbty4An/4rxdjjU2UqBOv8NPen7mWbESNpp1x6NYI3fP/zDtEHfyZmOuPqVivLT17tKWyGSRFrmNewDW6vN+O1GMhLLuiYu6svtgAixcvxtbWlg8//FAfRfpbMjIyCA4OxtPTk6SkJABat27NV1999ebmNkshERQUJCYmJmJSxlw+dx8k/5nwvnTuNUTGjRshPTp2l0mrjstjEZHsm7LFa4R0fud9+fDD4dKzQ0dxWRAh90Tk/+Y7i9uaMyIikhC7TTz++alEq0WuXf5N7OzsZNasWYVVnFxz584d+fjjj6Vs2bLCk7f7yKhRoyQuLu6NXrfQjbWwLCN9G9pKh67jJCz2nqSkPJBjiwfJ201d5ECKSNKR/0jnZu/I/B/jJPnRQzm5xUu6tuklQacfy60NH8ngz3dJqmjlt91LZOJH/vK7VmSOxwwpX768xMfHF1ZxcsW5c+eke/fuolQqBRAjIyP58ssvJSEh4Y1fu9D7saosNa3eH8W2bUtxalkZK8uK2FqXxVipABMN56OjSKnWlQGdmlDOuiJtujvRySaRo0fjqOw8ld7JGxkxcDCfbrxOjwmuKO7Es+PH3Tg7O1O9evXCLs4LERH27dtH3759OXz4MFqtFltbW0JDQ/Hw8MDGxuaNayj0OlarFSxtq2Bf2Zo/IsMJXLeab7dfosvcH3Ao84iwO/cpW74XFs9GAs0sqWZlwpn7d0g164D7kg2M1wgojDA1MWLp0vXcuHGDkJAQg5gr/PjxY4KCgpg3bx4pKSkAdOrUicWLF9OxY8dC06GXkadnG3qnPX6MpmxVGte35e7JQ5xPSgetBiNTU4yeKVMqMTU2IluVjRrAyARTU1NMTYxISEhgy5Yt9O/f3yC2Gvj999/55JNPmD17NikpKSiVSsaMGUNoaGihmgp6iFgBTEyeXLZub1e8e40j8+JGnPp78vWuVrxf3gq5l4Hm2TuaNGrSVRrMzMyee//NwYMHOX36NJ6ennofPjx58iQzZszg8OHDAFhYWDBz5kxmzJihl8GSQo5YBWbGcHz3j/iHHCWBJ/NjzWu3o5GtlsREBVWrVyfj4XVSMp9MpVSnP+Jmcib2Ve348xKkR48eERISQqdOnejUqVPe5GiSuXH1BknPv+/ptdi4cSMuLi46Uxs0aMCaNWvw8vLS3wjYG2+ePSVnq9hGGjfuJ99E3ReRDIlc5SqN3u4k/ifSJTNurfRt0VImrDkpWZIux1aOkeatnWT9mYwc+R0+fFjMzc1l7dq1edKjurFHZo8bI5P+PUncPvGWvRdSXjsPtVotM2fOlCpVqui6Mn379pVTp07lSVNBUujGGpuVkfkzx0jI7MFS963a0qhBHalVv5P8+9sTkqYREW26RK6eJG3r1JTadWtLzXodZXrwKcnQ/C+vrKwsGTNmjLRu3Vb+uBcvt46uE/fBPaVDx24ydPJCOXT1sWifnpt564jM/+dA6dKho/QZ5Sk7Tt8XrYgcnfu+jF5+Wh48vCXbv/SQWct2yv3XKM/du3fFyclJjI2NBRClUilubm7y4MGDgvvS8kGhG2tkZCQLFiwQ0Wrk/tWzEhV9Rn5PztIZ8QStpN/7TU5EnZDf7qb/5ZjIpUuXxMLCQuYv9JO0s+vEoUFd6e/xjfz4Y5jMGtxKWjt5SlSyiKh+FW/HhtLsH1/I1h+3iO/oztLQYaocuZ0huz7pIVN/fCwiIqe+9ZZpX30n8erclSUqKko6dOigi9LKlSuLt7e3aDSaVycuJPQypCgioFBSqXYzKr3wYYYC88r1aFv5xelXrlxJlSp2jPpgIL/H/kCNftP5/IuPqG0BbW1u8MvYfZy5JrR8HEb4pepM+/lz/lHLCJpZcmXEPLYcv4J79/Zs2L2WCKlEbGwC1d7pj80rFrhrNBo2btzIvHnzuHbtGgCtWrVi9uzZDBs2LF/fSUFTtB4CAHfu3GHz5s0MHTqUt2o0gBozWTcAFGl3iP1vDAfDj2LerBttaij4LeQMj6q2oKPd0zaifS2aVFNzMOY2dl4euD/6liMxN6ncdQiD+rXi75o5KSkpfPnllyxfvpy0tDQA+vXrx4IFCwxyn6giZ+zq1avJyspi0qRJus8UCkiL2YyX52qORP9BN0936tlCzMNktNblsTF69vJ1C6wsIS0xFbWRLe+O8yA3j7R/++03PvvsM91bqs3MzPjoo4+YM2cOVapUeQOlzD9FytiEhARCQ0NxdHSkYcOGOY6ZNfsHC1b0IP7Yd/h8409g98a0Ni+DMsf+KvJ0cETJK7ddecrevXuZO3cu0dHRANjZ2eHl5cWYMWMM+mF+kTJ206ZNxMfHs3HjxqefCKqMVDLUZShXoSbNKtSk2VtKorft5cCxi7SuUAmT1GQStFAZQJtGSqoWy+oWGOeiPg0MDMTb21s3daVBgwYEBgbSrVs3gxi+/DuKzGS27OxswsLC6N27N23atHn6aQo/ffUBnYbMJebJCgi0Sfe4+1iwtipPk3bNKXc7ll+upwOguXaeUzeMqdu8GmX/xtjExEQ+++wzJk2axL179zAxMaFnz57s37+f7t27G7ypoKeIfZ3ZAqmpqRw/fpyoqCjOnj3LggULSElJebpsoxxdBw2nYcQCZntZM6ZrFc7uWs2xsu+woFcL7BrbMqbjZgImzcRobEuu7fqWC1XeZUrnurxs+fO5c+fw9fXVLa2oUKECLi4u+Pr65tgKwOAprH7Vs36sUqkULy+vXKe7fPmyNGnSRNdnfOutt6R///7y6aefyoYNG+T23Wvyx4nt4jVxlAwaNETGTPWTH0/f1aXPunlEln86XgYPcJKR//KVH8/el5f1Nrdv3y7NmzfPca21a9caVP80txSqsaamprovbNCgQTJlyhRZsWKFnDx58qXpMjMzZdmyZWJkZCSenp6yatUqGTVqlDRo0ECsra2lbdt2snT5SklPuifqbK1o/zqaISKi1UpmWrqoX3RMRFQqlfj7+4utra3O1NatW8vRo0cLpvB6QC8R2759e3FycpI6deqIlZWV2Nvbi4ODgwQFBcnDhw9zpMvMzJQpU6ZI8+bN5datWyIikpqaKvHx8XLkyBEZOXKkWFtbS+PGTWT58uWizla9lq6EhAT5+OOPxdzcXAAxNjaWoUOHyo0bNwqs7PpAL0OKPj4+kp6eLklJSXLjxg1Zvny5dOjQQSpUqCCNGjWSjRs3Snp6uoiInD9/XsqXLy++vr6ifUE4ZmZmSmRkpDg5OYmlpaU4Ozs/9+N4Gb/++qv06NFDjIyMBBBzc3Px9vaWtLS0Ai27PtCLsfPnz3/uuFarlWPHjkm/fv3EyspKHB0dJSYmRry8vKRWrVpy9uzZv81fq9VKcHCw2NraSo8ePeTixYsvPVej0cjevXulatWqultv1apVJSwsLN/lNBQMxthnqNVqCQ4OlpYtW4qNjY3Y2dnJxIkTc32dAwcOSL169aR58+YSGxv73PHk5GRZunSpWFpa6kzt0qWLHDlyJE/lMlQMzthnPGsN29jYSFRU1GtdKzY2Vpo0aSLt2rWTmzdv6j6/du2auLm56RpxCoVCJkyYIJcvX37t8hg6BjtA8ez9rd27d3/t9821bNmSoKAgrl69yrfffgvAiRMnGD16NGvWrEGlUmFmZsbixYvx8/Ojbt26Ba5f3xjskGJoaCjx8fEsXbo0T8sfOnfuzL59+yhXrhxbt25l+vTpxMfHA1CzZk1WrFhB//79i8QoUl4wyIjVaDQEBATQrFkzHBwc8pxPixYtCA0Nxc3NTWeqg4MDERERDBgwoNiaCgYasTt37uTixYusXbs2z1/+rVu3mDp1Kjt37iQ7OxsTExNcXV3x8fGhUqVKBazY8DA4Y7OysggJCcHe3p6+ffvmKY/IyEimT5+eY9eVadOmMXPmTIyNDa7IbwSDK2VkZCSHDh3Cz88vT+9yXbt2LQsXLuTy5csAtGnThjlz5hj0mtk3gUEZq9Fo2Lp1KxUrVsTR0fG1bsOZmZnMmjWLkJAQEhMTARg6dCheXl40a9bsTUk2WAzK2PPnz7Nt2zYmT578WvszxcfHM3HiRPbs2QOAsbExkyZNwsvLiwoVKrwpuQaNwRgrIkRERCAi9OvXL1ddHBHh8OHDTJs2jdjYWACqVavGrFmzcHd3LzJ7PL0JDMbYW7duERwczNChQ2natOkrz8/KyiI4OJh58+bxxx9/AE/q0wULFtCnT583LdfgMQhjRYT9+/fz4MEDhgwZ8so3WCUkJODn58eSJUt0u5gNHDiQxYsXG/gbOgoPgzA2PT2dpUuX0rNnz1cusDpz5gw+Pj5s27YNACsrK9zd3Zk9e7bBbiqiDwzC2P3793Pz5k28vLz+tosTHh7OwoULiYmJAZ6MJ8+bN48RI0YU6Y2m3wQGYay/vz+NGzdm4MCBLzyu1WpZtGgRCxcu1G3I3KJFC1avXv3aDwhKCno39tChQ5w7d44lS5a8MOoSEhLw8fEhICAAtVpNmTJl6NWrF2vWrDHYWfiGgF4fAmi1WlauXEnlypVfuGH0mTNncHFx4euvv0atVmNra8v06dP5/vvvS019BXqN2JiYGA4dOoSnp+dzyyW2b9+Oh4cHV69eBaBu3br4+PgwfPjwYv1UpqDQi7HPjFm3bh1lypRh5MiRumPp6eksX75cNzEcnrwwyN/fv9A36CjK6MVYU1NTrl27xp49e3B1dcXOzg54suvK3Llz2bhxI1lZWRgbGzNu3DjmzJmjm1FRSu4odGMVCgVKpZIffviBpKQkXbTGxsbi7u7OiRMn0Gq1mJmZ4efnh6ura9FaWmEgFLqxJiYmXLhwgbi4OD788EPefvttdu3ahaurKwkJCQBUr16doKCgPD+PLen897//LfxWsbGxMSdOnCA+Ph4HBweCgoJwdnYmISEBhUKBg4MDO3fuLDU1H+zZs6fwIzYrK4ubN2/SqFEjNmzYwO7du3X1qbu7O7NmzcLe3r6wZRUrTp06VbjGKhQKVCoV8GTj6OjoaDQaDdbW1syfPx83NzfKlClTmJKKJbVr19ZPq1ilUukMbtKkCf7+/jg6OupDSrFk5MiR+h15Gjx4MNu2bSs1tYDp2rVr4RmrUCh0z05NTEyYNm0awcHBNGjQoLAklCgK7VbcrFkzWrRoQUpKim7QoXRo8M2hEJFcboyTf86fP49KpaJVq1aFdckSS6EaW0rhYZBrd0rJP6XGFlNKjS2m/D+tfSiqy9YZYwAAAABJRU5ErkJggg==)
physics-General
physics-
Fig shows a double slit experiment, P and Q are the two coherent sources The path lengths PY and QY are n
and (n + 1)
respectively where n is whole number and
is wavelength Taking the central bright fringe as zero, what is formed at Y?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMIAAABrCAYAAAAl8l0XAAAgAElEQVR4nO2dd0BV5RvHv4dx2ZsLFwERZGkKCIJcwImoKM4EZ5KTzFFJOVAcpZaZWuYkt2aaC8nQUBMRRU1BUZRwATFkb7jzPL8/qPsTAScq6Pn8x+G573nO+L7jeZ/3PQwRETg43nGU3rQDHBzNAU4IHBzghMDRQqmoqEBxcXGTlccJgaNFsmHDBsyaNQs1NTVNUh4nBI4WSUFBAXJyclBdXd0k5XFC4GiRKCkpQUlJCQzDNE15TVIKB0cLhxMCBwc4IXC0UJqqS/QfnBA4OMAJgYMDACcEjhYMEaGpUuU4IXA0G1iWhVwufyZbJaXGX12SSyARiSCRsQ2dBTKJGGKpHI9KiBPCS0GQScSQNnS/OZ6Lf/75B4sXL8bHH3+MCxcuQCqVNmork8kgFosbGTCzyImciQ+dLOA8egPu1SmGILmxFSNd26L73N9Q+OhcHHG8GKyMyu7H0cYvF9Gm329SpfxNO9T8kMlkVFBQQJWVlU+0KykpofHjxxOfzycXFxcyMTGhr7/+mkpLS+vZVlZW0po1a8jc3JyGDBlChYWF9Qtkc+j2jrHUWt+axkbcItF/h2tu0doxztTKdSr9/qCszk84IbwgbHU+JURMpX59BtGIkAUUeUf09B+9Q4jFYvrll1+oV69eNG3aNLp48SKxLFvPTi6X086dO8nIyIi2bdtGCQkJNGDAAGIYhqZPn04ZGRl1bKOioohhGAJAgYGBDQuBiGTVd2hTkC0ZOwTRzjQREYno2k+TqYOVK31+JI2qHrPnhPAEilLO0OHjp+iv82foyLa1tPrHbbQzMo5SC6VEVeV0/1oKVbASunb6EO2PSiLxm3a4mcCyLEVHR5O1tTX16NGDvLy8yNHRkbZv305SqbSObU5ODrm7u5OXlxfNnDmTDAwMiMfjkba2NgGgAQMGKMRQXFxMffv2JW1tbdLQ0KBhw4Y1KgQiOZXe3E5DbfjUeeoeunXzEE3ysCGfmb9QRkV9a04IT+BGxCTq1M6GvHoF0KDBQ2hA9/fIoZUl+YZG0kOFFUu3T/xKmzbvo/tv0NfXRUPdlcfJz8+nPn36kL+/P1VWVlJCQgI5ODiQnp4eLVu2TNFVkkqltH37dgJArVq1ovfee4+WL19O69atIwMDAwKgqPnT09Pp0KFDBIDee+89cnZ2psGDBz9BCEQkq6BLGz+gjm1tycPbh9x9P6aj9xpQAXFCeCK3ds2gjoYCGrbyBGWJWWLLk+nC4m6kL3iffv3vfajJpF+/8Cef4V/S+bInFteiKS0tpeXLl9OQIUNo4cKFlJ6e3qAdy7J08OBBMjc3p+PHjxMR0ZUrV8jT05N4PB7p6+vTjBkzSC6XU0VFBY0cOZL4fD5169aNXFxc6O+//yYiotDQUFJSUlKI4aOPPqLOnTuTubk5derUiUaPHk39+/d/shCISFKcSKuHtiIVLReacyCNqhux46JGT0IugczSA8P7eMCcx4DR6QhXL2cYsqUoKq01KU6NQ0xCIgpUdcBmVr5Zf18RIpEIP/30E9atWwcej4fIyEh8+OGHuHjxYj3b/Px8fPXVV7C3t0ePHj0AAG5ubli1ahU8PT0hFovxzz//QElJCVKpFKmpqejYsSMcHByQmZmJ9PR0AEBoaCj27NmDQYMGAQAiIiJw5coViMViuLq6wtbWFjKZ7KnzCKoGlujk4wprW2e4OdlBoxE7TghPggjQUIea4mZLIQEDZQa1d076EJeOHUWq4RCM6GMLafEDNB70a15cvXoV/fv3x6BBg3Ds2LEn2mZkZGD9+vUYN24cNm3ahAkTJiA9PR0TJ07E4cOH69gWFRXh+vXrcHV1hbq6OsrKyvDdd99h3bp1MDIygqOjI+7cuYNFixZhzpw5KCkpwbhx45CSkgJ1dXUoKysDAMzMzDBq1CisX78ekZGRmDNnDgYNGoSRI0ciLCzsOSbTWMgZJagxDJ5krfIMJb3jUN0bSASAgbIyUJWRgMg/7sJhwl5MsLmDS1VFyAdgLpWCVFSaPDGsqcjMzMRHH30EkUgEKysrTJo0CSEhIZg7dy40NOrWmfn5+Rg1ahT09PTw2WefwcDAABoaGigtLYVUKsUnn3yCgoICTJ48GXK5HIcOHUKbNm3w8ccfAwD27duH77//Hvb29qiurkZGRgYYhsG2bdugq6uL5cuXw8HBAUlJSfD09ETbtm3rnN/CwgIWFhbo27cvSkpKoKGhAX19/SfOM9SDqPYpPkEJXIvwIigpgakpw63oX/EXvBAU6AirVnJkpKbjwd07OBx5GsVFL99NIiJkZGQouguNIRKJsHr1agiFQixatAiFhYWN2kqlUkRERKC4uBgHDhzAxo0bMXz4cPzwww+YOnVqnXXAUqkUW7ZsQVJSEgICAmBiYgIACAoKwqxZs1BVVQVNTU2wLAslJSXk5uYiIiICY8aMgY2NDfLy8nDgwAH4+/tj//79CA4OhqamJrS0tJCbmwt9fX0MHz4clpaW8Pb2hkAggKWlZYN+q6urw8zMDPr6+s97F8HKpZBIZWA5Ibw4DVXqSkqE8twkHDhyDdbDJsJXG4CNF9pV/IGQLp747ooYEg3tlzqvXC7Hli1b4OrqCnd3d3z66afIz8+vZ8eyLH7++Wd89dVX0NLSwrZt29C/f39cunSpQdvDhw9j48aNCA4OhqOjI+RyOW7fvg1NTU0cPXoUQ4cORUFBAQCguLgYK1asgJOTE0JDQxXl6OvrY+7cuVi7di3Kysqwa9cuHDt2DCEhIdDR0cHMmTMBAPfv30dmZiY8PDzA5/MxZMgQ9OnTB3l5edDQ0ICxsTEkEgmys7ORkZEBFxcXRdeo6eCj+7RfkBC3AUPtnmD2QiGEdwRWJiaRSEzyRyeC5BIS1YhIKpeTWFRDkkdmlOVV2XTj+m3KKqmh+lNHtTx8+JBOnz5Nd+7cIZlM1ui5z58/T8bGxjR9+nRat24dCQQC6tGjB926dauOXVZWFhkYGJCdnR3duHGD4uPjyc7OjiwsLOj333+vc46ioiLS0dEhOzs7RbSFZVm6fPkyeXh4kJmZGb333nuUmppKRESLFy8mMzMzunfvXj3/5HI5VVZW0p9//kleXl6kr69PFhYWdPbsWYXNzz//TAzDUHh4uMIPiURCKSkpNHnyZNLV1SUjIyMyMTEhLy8vRcToWZg7dy717t2bCgoKnvk3T4ITwmvk77//pu7du5OOjg5ZWlrSypUrG4zLl5eX0/Dhw8nd3Z3EYjEVFRXRZ599RhoaGtS+fXs6d+4cyWQyYlmWFi1aRAzDUPfu3YmIaMOGDaSvr08mJiZkYGBA+/fvJ7m8Vq3ffvstqaur06JFi+qdMzMzkwICAsjExITWrFlDkZGRpKenR0uWLKlnK5PJaP369eTk5ER+fn60atUqioyMpKysrDp2K1asIAC0efPmemWwLEsZGRm0efNmWrJkCV27du257uW8efM4ITQXampqKDY2ln7//XfKycl5qu3EiRPJ0dGRjh49SrNnzyZNTU0KCQmhzMxMhR3LsnT+/HkCQAMHDiSi2lycKVOmkImJCWlra5O1tTXl5eVRdnY26enpkb6+Pu3du5eIanNxwsPDSSAQkIGBAX3yySckFospLy+PBAIBzZw5s8FUByKiiooKmj17Npmbm5OhoSGNGDFCIaJHOXv2LNnY2FBQUBCNGjWKeDweWVlZ0VdffUWpqakkEomIZVlauHAhqamp0bFjx170FjcKJ4RmglQqpZUrV5KysjKZmJiQr68vnTp16on5NHw+n3bu3ElERCdOnCB3d3fi8Xg0cOBASkpKIpZlqaamhgIDA4nH49GaNWsUZVRVVdG8efPI1NSUXF1d6fr167Rr1y4CQD4+PnVeWJZlaePGjWRubk5BQUEUExNDw4cPJzs7u6cKlmVZSklJoT///JPE4oaTRr744gvq1KkTZWRkEMuyNGjQINLT0yOGYah9+/aUmJhIRERr164lV1dXSk5Ofu77+zQ4ITQDWJalc+fOkYGBAS1cuJBOnDhBnp6eZGNj02A+zdWrV4lhGOratStVVdWmeyUkJFD37t3JzMyMdHR0aMaMGcSyLIlEIjI3NydPT08qKyurd961a9eSra0t+fr60vDhw0kgENDJkycb9DMqKop69uxJlpaWZG9vT9HR0S997WKxmAYNGkQTJ05UpEocP36cRo4cSXZ2dmRmZkYzZ86kqKgo8vb2prFjx1JFRcNpDS8DJ4RmgFgspmHDhpG3tzeJRCISi8UUGhpKmpqaZGpqSkuXLlX0/VmWpcDAQFJWVqbdu3fXKSctLY1Gjx5NAoGARo0aRf/88w8dPnyYjI2NaceOHY2e/9SpUzR69Gjq27cvbd269Ym+FhcXU1RUFF2+fPnlL5yI7t69S87OzrR+/fo6x1mWpT/++IOmTJlCzs7OZGVlRe7u7hQbG9sk532c/4SQn5/fJOVxQviX+/fvU3h4OK1YsaJOn70h4uPjSU9Pj/bv309Etd2WiIgIsrW1JU1NTTIzM6OkpCQiIkpKSiI1NTVasGABSSSSemUVFBRQWFgYtWnThnr06EF8Pp+Cg4OppqbmiT5IpVIqKSl5wat9cU6cOEE2Njb0/fffN+gjy7KUlJREhw8fVnSRXgVhYWGcEJqa4uJi6tevHxkZGZGdnR15e3s32t0oKiqinj17UpcuXeq8CHK5nCIjI6ljx46kp6dHkZGRJBKJyN/fn1xdXam6urF0r9oWJjo6mqZPn05Lly59aj/+TZKZmUlBQUE0YMCAp1YYrxJOCK+AZcuWEZ/Pp3PnzlFsbCz16tWLrK2t6ddff61nu2TJEjI2Nm60q3HhwgXq2bMnWVtbk7u7O+np6dWJrT+JmpqaRiM6r4PY2Fjq378/eXt70/Tp0ykhIaFBu/Hjx9PAgQMpLy/vNXv4f8LCwsjX17fJhPDWziyfOnUK0dHRT03MKiwsxLp16zBp0iT4+PjA3NwcpaWlyMnJQWhoKNavXw+xWAwAyMvLw8aNG/HRRx/B3d29wfKEQiF27tyJTz/9FG5ubti3bx+6dev2TD6rq6u/sfwkiUSC5cuXo6CgAE5OTrhy5QpGjBiBoKAgxMXFKewKCwtx584duLi4wNjY+I34+kpoEjk1M5YtW0b6+vqkq6tLfn5+dPXq1UZtP/vsM+Lz+YqaRSwW0/bt28nY2Jh0dHTI3d2dbty4QURE8+fPJ4FA8EyRCplM9tS1us2JEydOkJmZGR0/fpwqKyvpgw8+IB6PR5aWlmRsbEyhoaFEVBvtsrW1pV9++eWN+vtOtgglJSU4deoUsrOzn1rDx8XF4dtvv8Xs2bMRHR2N8vJyDB8+HMeOHav32+joaGzZsgWjRo0Cn88HAPB4PHzwwQeIiIiArq6uYsflpKQk/PTTT5g6deoz1YTKysrQ0tJ68Yt+zVy5cgVyuRwmJibQ0tLCwoULMXbsWBQVFaG6uhoVFRXIycnB8ePHoaamhnbt2r1pl5uWJpHTKyQnJ4fat29Purq6ZG5uTmvWrCGRqOGF8pWVldSrVy/q1q0bsSxLhYWFFBwcTAKBgPh8Pm3ZskURuZHL5dSzZ09ycXFpNPoSFxdH7u7uxOfzycDAgHr27Enl5eWv7FpfFdXV1ZSXl0dlZWUNRq5YlqVx48YRAPrtt98Ux2UyGd29e5emTZtGfD6fdHV1SVtbm5YuXfpGxzJETd8iNGshyGQyGjJkCNnZ2VF8fLwi32by5Mn1Xl6pVEp+fn4EgGJiYoiISCQS0apVq8jY2JgMDQ2pdevWioFrVFQUGRgYKGwbo6ysjNauXUvh4eH1cmlaAiUlJTRw4EDS1tYmJycnmjt3Lt2+fVsxsfefjZ+fHykrKzc4C8yyLBUXF9OxY8fo9OnTjVZEr5OwsDDq1atXkw3YX04I4iK6dzOJEi5coAsXLtCFCwl06a9rlJqRT9VNUGGcPHmS9PT0FLVUYmIi2dvbE4/Ho2HDhtGdO3cUtsePHyddXV0SCoX1ZnZ37dpF5ubm5O3tTbGxsfTPP/+QUCikgICAp8br/+NN14AvysqVK0kgENC6deto1qxZBIAMDQ0pNDSUEhMTSSQSUWlpKQ0YMIAcHBwaXYvc3Jg/f34zEkLGVupnpkaW5hZka2dHdnZ2ZGfvQE5dR9KKY2n0+MS6XC6nM2fO0I4dOxQTTo0hkUiob9++5Ovrq8h5uX37Nnl5eZGuri6pqanRnDlziKh2gNuvX786eS6Pc+LECXJ2diYnJydycXEha2trunTp0ktdfnOHZVkSCoU0cuRIksvlVF1dTR06dFDsEOHm5qaoTIYMGUJjxox5I5N0L0JTC+HllmoyKlBS1cP2nXvR2sIMYGWoyE3Evq8X4Pvwr2Hr/BOGWfx/ocW+ffswY8YMaGlpQVtbGyEhIZg0aVKDg8qDBw8iISEB+/fvB4/HAwA4Ojpi7969+PzzzxETE4OKigo8fPgQMTExuHz5Mvbs2YNOnTo16Grfvn1hb2+PjRs3Ij09HcHBwY2GQN8W8vLyUFhYCFNTU4hEImhqamLDhg3Yu3cv4uPjUVFRgU2bNkFfXx8JCQlYsWIF9PT03rTbb4aXklHmTvK3NKH0nEdVKaf0EzPJ0diN5kf/v3ZJTU0lKysrmjp1Kl28eJEmTJigSAt+vO+dnp5Ojo6O9OGHHzbYdSkoKKBZs2aRjY0N+fn5kZGREU2ZMuWZwpUsy7bYbs6jZGRk0Jo1a2j16tWN9tujo6OJz+dTQEBAnXvDsixduHCBZs+eTUKhkKytrWny5Mn08OHDemU0V5pXi/Avampqj/xVg6yUu6jS1Iehobri6A8//AAtLS2EhYXBwsIC8fHxOHLkCA4cOIDMzEyEh4fD1dUVALB582ZIpVLMnTsX6urqeBxjY2MsX74cnp6eOHXqFDw8PBQtzdNorgvqn5d58+bh9OnTMDU1BcMwcHJywsCBAzFw4EDFPUtOTkZxcTF69uxZ5z4yDAOhUAhPT09kZmYiLy8PDg4OLao1aOrn+NJCUFFhsXzxYhgY6gFyMUozr+HUySSYD16BwR1rb/7Vq1fx22+/Yc6cOTAzMwMAeHp6wtHRETdu3EBycjJiY2Ph6uqK1NRUHDhwAOPHj4eNjU2j51VTU0NgYCAGDx4MVVXVt+YFfxYuXryIyMhIREREwNbWFvPmzcO+fftw8eJFxax27969YW1tDVVVVbi5uTW4FphhGFhZWcHKyuoNXEXz4qWFwCgR7t+9Ay2d2sXqKuptMHzhNAQN8UVbzVqbHTt2wMjICAEBAYoH4u3tja1bt2LJkiU4evSooj/7/fffQ1VVFUOHDoWqqupTz//f+OFd4o8//oCFhQWGDh0KTU1NhISEID09HXfu3EFubi6GDRsGoHbxvEAg4F70Z+GlOlaZO6l/az5dupJEubkPKfdhHhUUlZP4sdV9165do5s3bza47C8nJ4fmzJlDJiYm1KZNG+Lz+bR79+4nLmx/1/H396dRo0Ypomk1NTV069YtWrlyJdnZ2RGfz6cuXbqQlpYWzZkz55lDxC2JBQsWUM+ePZtsXPPSLQIRAxOBAAKBaaM2zs7Ojf7PzMwMixYtQkBAAGJjY+Hm5gY/P79XsK3H24FEIsG9e/fQtm1bRcqIuro62rVrB1tbWwQFBeHcuXM4ffo0/P39ERIS0uA4i6MuLykEeq7P/TSGhoYGfHx8IBQK32kBiMVixMbGQlNTE25ublBXV6/3iaSHDx+ipqamwUxVVVVVtG7dGqNHj0ZgYCCUlZXf6fv5PLycEJQ0YMDnQ/kJ37N6Ht7lh0ZEmDx5Mg4fPgxVVVXo6elhypQpGDt2LAQCgWIsZGhoCGVlZfTo0QMqKg0/PoZh3smx08vwcm+weRD2JqagjYVZE7nz7pKSkoIjR45g9erV+OOPP9CpUycsWLAAQqEQ33zzDXJzcwEAN27cQHl5OTw8PJ74Qb23nWYXPn2XwpavkiNHjsDQ0BDjx48Hy7JwcXHBX3/9hcrKSixevBjKysqKGXUdHR1YW1u/aZffKrjdsJsBVVVViImJQYcOHaCsrAxVVVUsXLgQ7u7u2L17NxITE3H8+HGUlZVhx44d+PDDD1vU5FdL4N1tW18TKSkpOHHiBNLS0hq1iYuLQ2JiIpycnBQtLMMw6N+/P/bu3Yv169fD1dUViYmJ8PPzw9SpU7lIUBPDtQivkMTEREybNg2lpaXQ0dFBt27dEBAQoPiSzH+cO3cOMpkMAwYMqNfVZBgGvXv3hq+vL6qqqqClpcV1R/+FnulDIc8GJ4RXyNdff42KigosXboU8fHx2LJlC06ePInOnTtj9OjR6N69O1RUVHDz5k0IhcInzrcwDANt7Zfbav5totkNljkapry8HOfOncPChQvx/vvvo127dti7dy+Sk5ORlpYGDQ0NCIVC1NTU4NatWwgJCWlRa5zfNjghvCJ27tyJkpIS+Pn5AQDatGmDgwcPIjIyErt378auXbsgkUhQVVWFsrIy+Pv7v9Ph0DcNJ4QXoLKy8qndlB07dkBZWRkWFhYAAE1NTXTt2hWdOnVCcHAwjh49iujoaBQWFmLx4sVwcHB4Ha5zNAInhOckPDwcmzZtgo6ODvr164epU6eiY8eOdWzy8vKQn58PJyenerO/2tracHJyQrt27TB9+nSwLAs9Pb1GZ4k5Goee+cuaT4dri5+DW7duYe3atRgyZAjGjBmD6OhoCIVCBAcH4/r164qcq+TkZFRWVmLZsmWNppKrqqrCwMAARkZGnAhegKYeLHNCeISKigpUV1c3+v89e/ZALpdDJBLh888/R4cOHaCiooJff/0V3bt3x/HjxwEACQkJMDU1hYuLy+tyneMl4aqif4mJicGWLVtgaGgIPz8/dOnSBebm5nVqnkuXLkEmk8He3h56enr49ttvsWbNGsTEnASjxODixQQYGBjg559/hp+fHxcFakFwLQKA7OxsBAcH48GDB7h58yZCQkIwYsQIbN26FWlpaZDJZBCJRPj7778hFoshFAoBAO3bt0dERAT+OHkCAf79cODAIQwZOhRqamqYNm3aG5j9ZSGTSiF7uaz4dxKuRQAQFRUFFRUVREdHQ0NDA9OmTcOuXbuQkJAAoVCI3bt3Q0lJCTKZDDwer86WMQzDwNGUQdDgYfAPngstcQbsbW3RqlWr1+B5BW6ePoNcvif8nEwAyPHw+hlczFZHlz7dYKlRayUtykS2zAhtTLkWqjHe+RaBiBATEwNdXV1oaNS+Ob6+vvD390erVq1w4cIFbNu2DTdv3oRMJoOPjw+MjIz+XwBbhsu//oQff46DuoUlenTr9ppEABScWY0JgYH4ZGvyv0dUoYYsnNyzGftiMyEGgOK/sPmbxfj8s6U4ni19LX61RN56IeTm5iIpKQkikajB/xMREhISUFRUhNLSUmhra2PcuHHYtm0bvvrqKwQGBiIqKgpffPEFNDQ0MH/+/Dq/r0yPx4GTKTDvPhI+5kqAXAbpi3RNiq5gf8RBJJU844/zYrA0bAdSGU1oq/+/Yed3HoyA9sDZIweRWgaUp1xHqaUHetjlI+rY32BfwLV3gbe6a/TXX39h1qxZyMrKgq2tLfr06YOxY8cqtpQBgHv37iEvLw82NjYwMTFRHBcIBBg/fjwGDBiA5ORkZGZmonXr1o8lzFUg9exxJBZaYFqfdlADkHZkBbZkmqITHiAm/ipyKlVg6twbH0ydCj+bR/d/qgvl/okfFp/AiJ6D0MngaSv1srFv8SKcaz0OQcwGXKsTSjdCj14u2LggDjGJwzGlXQBmdhVAl/pj69cnkUEdYP2W5Oxx8wjPQFVVFVavXo2ysjKsWrUKrVq1wg8//IBBgwZh8eLFyMrKAlC78N3c3BzOzs4NLm80MTFB7969MWHCBPTu3btuGkRZFq7HX0N1a3e4WNQeL067gP3fzMPquAo4+AUiaIATCn9bhflf7sWDJ/jLaPEAlgFP++lLLNN2heObpPcQtigIbTVQr5bXcXJFe14WLlxIhchUAF0AgBilV87iYtFTi28RcEl3z0hZWRlOnz6NZcuWYdiwYcjPz8euXbtQUlKC9PR0FBYW4rvvvoOBgQGkUim8vb2f+xw1xfm4eT8fhr1sYfnvc1FSVQbLc8Soz0Mx08cKKqiES00iAraewY3K8bB+NDOjLB4rQpfj4OUcyGWFSCsux9d+nbBZWQWmHYZg0db58Hos8CRL2Yp536fBN3w7AmxV8V1DFaJ+G9hZAHEpD1BYCpgaAKUnN2JLXDz6JYkwyo9by/A4b6UQiAhnzpwBwzDw8fEBAIwZMwbGxsb48ccfERcXh3PnzmHbtm24d+8eJBIJgoKCnvs8NdUlyC2XQ9/QEIr5Y7kMaN0Rnjb8f2+uGkysTKHF1qBGBOBRIahZoku/4dDsUAUq/BM/rL0Ft/fHwdtABdqCDrB4/OmIr2HNogiU9wnD5wF2UFfKgBIARumxrhSjCyNDLVSlPURVNQsYZGL394eA/kOgl3IT8Ov83Nf6ttPihEBUu4UM0PiuFxKJBEuXLoWenp4imU1HRwfvv/8++vXrh9jYWGzevBnh4eGoqanB/PnzYWlp+QLOsCAo1fODVFSg8l9NTQSWgAZbcvXW6DbsQ3QlAnuzEj//VALP0R9hui0PDMOAeazjWhp7BEf+uoMHNxZh6NlvALkYuWmlyE+ZhkEFH2Deui8g1AAAZaioqIABASpKEMVuwk+32uGjI5Ogffw8MtAZb8Ped+/swhypVIo9e/ZgzZo1EAgECAwMxMCBA8Hn8+u8jDKZDGlpaejWrVudPv1/i1sCAgLQr18/VFZWQiaT1Q2HPgdq6vow1CQ8LCsDixcZcDFQUqpViJKKGtQ11MFTUWlU4Gq2vfHxPH3kVMigxDAgeSnObruDpFY9MLCPGwSKp1mJ0rIqqGuZQpeXjV0/HnlbFzYAAAaFSURBVIZywEp84GCFlNMHcbEAsDIQobxSCl19nRe69jfNOz1GuHfvHubNm4fOnTuDx+Nh5syZ+OabbzBjxgwMHjwYlpaWUFFRwd27d8Hj8TB69OhGy1JRUYG+vv5L+aOlbwxHcwMkP7iPHPjAAgDJpZBIZXi0siJWBolEBvYJFRjTejC+3NQFloLGH4lG264Y27br/w9IHqDm2I/IcB2GySMeiWbVZOFBlgxmXWwhT4hAxPU2+HBRDxioq6ONgwy71h2ArjeLgrK2GBfIdZOAFhQ1ksvlOHbsGLS1tbF7925s2bIFY8eORU5ODmbNmoU+ffogOzsbQO1ieH19fYwdO/bVOmXYCi5dHMHcTcStf6Mx2ubt0bmDNbR5/91aBmrGtnB1tYfRk/Y01mmL7v28YaP17DUdCx7M27vDyapurS65lYyb5aZw9zLCgxsPYBUYgpH2OmCUeDD26APjM/MQ+u2f4HVo+KMq7yRNsoPqa6CqqooCAwMpICCAiGo/HhgZGUn9+/cna2trMjQ0pFWrVlF8fDw5OzvT8OHDX4tfhUm7aWL/frTgcBbVbnHMUv3vkLzCj5OwLNUtuYriVk0gv9HhdDZL1qA/rKSMCkrrf12zJbFkyRLq2rUr5eTkNEl5LaZFkMlkuHnzJjp3rm3KVVRUMHjwYERFRWHVqlXo06cPNm3ahAkTJkAul+OLL754LX4ZteuFwV7mSD11GDdLAYBpYGDMvLqdJxgGj5Zck/knfr9Sjk5+Q+FirtygP4yqLoz1nr7lfkuAmmjA3GLGCPfv30dOTg66dOlS57iysjKGDh2KgQMH4tq1a7h9+zbs7e3h4eHxehxTa4VeQSOQGXUbWdlV6KivhTc3cStFwYMyGHsEwDeg078TaW8nLWCwLEdVeSWUtPWg0UTtDREhKioKRkZG8PT0bNBGRUUFnTt3VrQYrxMtu54YN8EV0mawibGhU19McNGGIbcR3nPRdEKovI1DEdtw6ORfeFBUDSVtARw9+2HcxLHo3rbhuollWZw5cwarV6+GXC6HUCjE6NGjYWdnV88uLi4OHh4eLx3peTWoQMfgxUKwTYsqtA2M37QTr42m6hYBTRU1KruIpeNGYdbGBPBcBmHKp5/gAz8b5J9cg4ljP8POy7loyOXS0lKEhYUhNzcXbdq0weHDhzF06FB8+umnSE1NVdhJJBLcuHEDXl5eTeIuB0c9mmLEfWZBT+Kb9aCVZ9OppObfEIW0kvKSfqaPfCzJ/v1VdPVh3dAFy7J07Ngx4vP5dP78ecrOzqaAgABiGIbMzMzIysqKDh8+TEREly9fJh0dHbp48WJTuMvxFvDll1+Sj48PZWdnN0l5TdIi7Nh/BxYjwzGtmxX01f8dxKhowcRlBKYE94XSlaM4dSsTj2bay+VynD9/Hnw+H0KhEK1atUJYWBj8/f2Rn5+P4uJi3L17F4WFhVi3bh3Mzc3h5ubWFO5ycNSjSYSQWG0Mt27O0Kj3H2W06+gCG+U8JD94iPJH/iOTyXDt2jU4OzsrIgCenp44dOgQzp49C19fXyxfvhy2trY4ePAgQkNDuW1POF4ZTfJmVTDa0NNrOGKirqkFLR6LigoRZI8cl0gkSE5OxuzZsxXHGIaBuro6vL294eXlhaysLJw/fx4WFhaKLFIOjkeh5jSPoE/lKCxseD1sVXkZymsYmOip4fElJ66urvD392/wdwzDwNLSEiNHjmwKFzneMprlBl9C/UJcjolH6b9/V5ekI+nSDeSUlOD6tau4y5ijk7V5nVR8XV1dHD16tF6olIPjTdAkLcKkiR74bflifOlrhdCADlAvuIyfwjagsHVbSNISIegbiv5Olni888R98IKjudAkQnD9aBkW3/8U3y2chL+ju6OLvQ5kvIf4bcdZiNQdMHaIKbR4sqY6HQcHgOa4MEejPSZ+txW2XpE4fvYykq9kgGc5CF9utINO6W2cPr0dOx2sMCPgPei2mDQ/juZM8801UrNE91Ez0G2kHKIqEZS0NKHGMADK0dP7IvIN9aHM9YQ4milN3ldhGGVoaD+6taAuHLr2AfcZDI7mDNdR4WixELfBFwdH08IJgYMDnBA4OABwQuDgAMAJgaOF0ixzjTg4WjqcEDg4wAmBgwMAJwSOFgrDMNyEGgdHU8MJgYMDnBA4WihEBLlcznWNON5tWrduDaFQCAMDgyYpj6GmXObDwfGakEqlkMlkio/Evyz/A/Su+gGycYpAAAAAAElFTkSuQmCC)
Fig shows a double slit experiment, P and Q are the two coherent sources The path lengths PY and QY are n
and (n + 1)
respectively where n is whole number and
is wavelength Taking the central bright fringe as zero, what is formed at Y?
![](data:image/png;base64,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)
physics-General
chemistry-
Two liquids
and
are made of same atoms, with following properties
![](data:image/png;base64,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)
A and Bare respectively
Two liquids
and
are made of same atoms, with following properties
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdUAAACdCAYAAADixeJCAAAgAElEQVR4nOydeXhURfb3v72ksy+dfd9XErKxQwIEEER2cNgEBAUd1FFgREGfUYZx0EH5uTIiKjg6KAooi0a2EAiBACFkISE7CVlIOkt30lm6+3bfPu8fvPdOdxIgzqAs3s/z5EnSfe+tc6tO1ak6dapKREQEAQEBAQEBgf8Z8d0WQEBAQEBA4EFBMKoCAgICAgJ3CMGoCggICAgI3CEEoyogICAgIHCHEIyqgICAgIDAHUIwqgICAgICAncI6d0W4H+hra0NjY2NkMlk8PPzg1QqhUgkuttiCQg8sGg0GlRWVsJoNIKIIJFIIBaLwa3Ms7a2hqOjI5ycnCAWi4X6KPC74740qkQEg8GAH374AZs2bUJISAi+/vprODo6QiKR3G3xBAQeWOrr6/HUU0+huLgYMpkMkZGRkMvlICIolUrY29tj+PDhWLJkCfz8/IT6KPC74750/7Isi4qKCqSmpqKxsREsy0LYw0JA4NfHx8cHr7zyCtzc3BAbG4u33noLu3btwq5du/Duu+/C19cXn3zyCbZv346urq67La6AwG/OfWlUOzo6kJqaCoZh4OzsDIZhBKMqIPAbIJVKYWNjAwDw9vaGp6cnbG1tYWdnh7i4OKxYsQLd3d04d+4cFArFXZZWQOC3575y/xIRiAjl5eUoLS3F1KlT0dnZiaqqKhgMBsGwCgj8yjAMg5qaGrS2tsLLywvOzs5m3zs6OvJ/G43G31o8AYG7zn01UiUiqFQqnDp1CnK5HGPHjoW9vT3UajVYlr3b4gkIPPBotVpUVVXByckJQUFBsLKyAvCfDm9+fj6kUil8fHzg7u5+l6UVEPjtua+Mql6vx6VLl1BSUoJJkybBzc0NAIQRqoDAb0RXVxeuXLkCV1dXBAQE8JG/BoMBSqUSW7duhYuLCxYuXAg7O7u7La6AwG/OfWNUiQhtbW1IT09HaGgoRo0aBan0P97r69evC8ZVQOBXpru7G8XFxXB0dISHhweMRiPa2tpw9uxZPP7442hoaMCbb76JlJQUs/opIPB74b7QeiKCXq9Hfn4+rly5gjfffBMymQwGg4H/vqGhAfHx8XdZUgGBBxMigtFoRGNjI8rLy1FTU4Np06ZBJBLBaDRCo9EgPDwcqamp8Pb2hkwmE9aoCvwuuS9GqkajEUqlEt999x0iIyNBRKisrERVVRU/OhVGqQICvy56vR4VFRWwtLTEE088geLiYly5cgWZmZlYt24damtrsXbtWmEpjcDvmvtipGo0GvHjjz/i/Pnz8PHxQUFBAUQiEfR6Pa5duwYiAsMwd1tMAYEHFq6O5eXlwdXVFQMHDoStrS2ICH5+fnj22WeRm5uL48ePY8+ePXjqqafutsgCAneFe9qoEhFYlkVtbS327NmDdevWYcaMGbxbSa/XY/Pmzdi5c6cwpyog8CtCRNDpdMjJyYFcLkdwcDDE4huOLqPRCLFYDF9fXxgMBhQXF99laQUE7h73vPu3q6sL//znP2Fra4vJkyfDxsYGtra2sLW1hZWVFSwsLCASiaBSqe62qAICDyxEBIVCgerqari4uCA0NNTse61Wi9zcXIhEIvj5+d0lKQUE7j73rFHlAiMuXLiAffv2YcqUKbC1tTULfuCu4QIlhJGqgMCvg9FoRGFhIQwGA/z8/ODq6grgxpaher0eaWlpKC0thbe3N1JSUoQgJYHfLfe0+7epqQlbt26FUqmEr69vr825lUolSktLodVqUVhYeJekFBB48CEiHDt2DJaWloiIiOCjfhsbG3Hy5El8/PHHsLCwwJo1axAVFSUYVYHfLfesUS0pKcHWrVtx8eJFSCQSbN26FYGBgQgPDwcRoaWlBR9++CHOnTsHkUiEgoICbN26FS+88IJwMoaAwB2EZVls3rwZJ06cgE6nw9dff420tDSIxWJYWVnB0dERkyZNwsSJExEVFQUrKyvBqAr8bhHRPeoz7e7uRmtrK7RaLYgIMpkMbm5u/GbeBoMBzc3N6OjoAACIxWI4OjrCxcVFOMdRQOAOwQULtrS0oKOjo9d+vlKpFJaWlrC3t4e9vT1EIpFQ9wR+19yzRpU7BJkTj6usXMSh6Xwq9z1nTIVKLSBw5+DqIVcnTeHqm+mPgMDvmXvWqAoICAgICNxv3LPRvwICAgICAvcbglEVEBAQEBC4QwhGVUBAQEBA4A4hGFUBAQEBAYE7hGBUBQQEBAQE7hCCURUQEBAQELhDCEZVQEBAQEDgDiEYVQEBAQEBgTuEYFQFBAQEBATuEIJRFRAQEBAQuEP0OqWG2+OTZVl+n0+JRAKptO8DbUyvNRqNkEgkEIvFD+ym9tw+qAaDASKRCFKp9IF8T4HfHqPRiNLSUly7dg0GgwFeXl6Ii4vjT10y3e9aKpXy+2AL3DlYloXBYODbsV9jP2OWZdHQ0ICSkhJ0dXXBx8cHUVFRsLGxgUgkMmuDxWLxTdtegf8eo9HIt+FcWd8p+jSq1dXVyMjIgEajgVgsRkxMDJKSkvp8gE6nQ15eHgoKCsCyLCwsLDBhwgT4+/s/sEewKRQKHDx4EM7OzpgzZ45gVAXuCEajEUVFRdi+fTvOnTuHadOm4bPPPoNEIgERQaFQ4Pz58zAYDJgwYQKcnJzutsgPHLW1tcjMzISHhweGDh0KBweHO56GwWBAXV0dduzYgR9//BFTp07F3/72NwQGBkIsFkOv1yMnJwelpaVISEhAXFzcHZfh947RaMQXX3wBOzs7TJo0Cc7OznesHe9lVEUiERiGwblz5/Dtt9/CaDTi0UcfRWRkJJydnc0sOhGhubkZW7ZswbFjx2BjY4NJkyYhJSXlvjU0pqdxEBHEYrFZ54CIcO3aNaxfvx6RkZGYPXv2XZT2wYNlWbAsC4lE8rs7+UQsFmP69OnQaDTIzc01+47Tu61bt4JhGCQmJgpG9RfCed5Ylr3paL+0tBRvv/02EhMTERoayh9ndyexsLDA4MGDsXjxYhQUFPCjUw6DwYCffvoJ33zzDVavXi0Y1f+C2432jUYj1q9fDz8/P8TFxUEul9+xcu415hWJRAgNDcXEiRMBALa2tigrK0NxcbHZWYqc0OXl5Th79iwkEgl8fX2xaNEiBAcH37euKSKCVqvFRx99hO3bt4Nl2V7fS6VSBAcHw9fX9y5J+eCiUCjw3nvv4cCBA9Dr9XdbnN8UrgMXEBAACwuLXpVcJpPBx8cH3t7eD6wX6NdGpVLhs88+w9dff82fxWyKtbU1fH194e7u/qvlMdfIu7i4wMPDo9dABQCcnZ0REBDwq4yUH3S4M4Czs7OxadMmXLlypc9rgoOD4efnd8fd6zd9mlQqhVwux+jRo3H06FGcOXMGCQkJsLOz44XSaDQ4c+YM3N3d+YOKnZyc7luDCvznvQ4cOAAXFxc8+eSTZt+LxWKEh4dj27ZtsLKyuq/f9V6kqakJP/30E5KTkzFp0qQ+jcuDTl/z9GKxGGFhYXj55ZdhNBrh7u5+l6S7fzEajVAqlUhLS4OzszMefvhhODo6ml0zcOBAbNq0CXZ2dnB3d/9VdY+LPTFFJBLB0tISjz76KFJSUuDp6fmrpf8gYzAYcOXKFRw6dAhDhw5FbGys2fdSqRQff/wxZDIZfH1972g539SocoUbEhICe3t7FBQUoKGhAWFhYQBuKGhXVxeOHz+OpKQknD9/vpdg3GjW9H9TTJWKc7eaHkxu+rnpIeU9r+HcJ6af9XTbmsrDPc/0AHRODqPRiJqaGpSUlGDIkCHQ6/V8I8fdY2Njg7i4uD7f92bvwE2Ic+mZYnrY+s3eqWcF5O4xletmLuu+Dpc2fW/T+7mRec9y6Xk99w6mZXyz8jV1u3Hy9cwv7tqSkhIoFAro9Xro9XpYWFiYyWj6zn0F8HAy3g+Bcj31EfiP+7unPhARrK2t+frXVx6aXss907S8errETMvQVM966hMAPr/7Knfuf+53X9cCvfWwZx3uKU9fnwEwmxrgMK1DpnXb9D2NRiOqqqpQV1cHOzs76PV6PliFu8/e3h5RUVFmgUqm6Zumwf19O33recC7aVn0LDsOb29veHl59RrF9my/eraNv7Qum5YNh2ngzq30q6+y6Osw+77k7PnsvmTsK19v1YZzP0ajETqdDtnZ2dDpdH2WMwC+De+vrvbV/vUJ9QHDMHTgwAEKCwuj999/n5588kkaOHAgHT161OyanTt3UkJCAn333Xc0ePBgmjBhAmVnZxMRkdFoJL1eT21tbbRnzx5auXIlDR48mAIDA2n48OG0a9cuUqvV/PMMBgO1trbS3r17aebMmRQeHk5BQUHk4+NDnp6e5OfnRzExMfTXv/6V/vnPf9LAgQMpMDCQPvjgA6qoqKCtW7fSgAEDKCQkhJ555hmqrKwko9HIP59lWdLpdHT8+HFatGgRhYSE0MCBA2n58uV05swZ6urqIr1eT4cOHaIhQ4aQra0tOTg4kI+PDwUFBVFYWBilpaXRp59+SpGRkRQYGEgvvvgiGQwGs3fQarW0d+9emjFjBgUHB1NgYCBFR0fTa6+9RhUVFcSyrFleGwwGOnr0KA0ePJgCAgLohRdeoMuXL9PWrVtp+PDh5OfnR1OnTqX09HTS6/XEsiyVlpbSE088QUFBQRQUFET19fVUVlZGy5cvJ09PT5oyZQqdP3+e9Ho96fV6unDhAj377LMUHx9PoaGhlJycTJs3b6aKigpiGIYvq4ULF5Kvry/FxcXRvn376OLFi/T0009TZGQkxcfH01//+ldSqVRm78wwDFVUVNA777xDQ4YMoeDgYEpOTqaPPvqIGhsbiWVZYlmWdu/eTYmJieTj40MbNmwgpVJJ3333HSUmJpKHhwetWLGCvv/+exo5ciRZWVmRs7Mz+fn5UWBgIA0ZMoTWrl1LAQEB5OHhQb6+vpSSkkJXr14llmUpPT2dgoODeT1ZvHgxFRYW9qXa9xQajYays7PppZdeouHDh1NISAiNGTOG5s2bR46OjrRgwQLq7u4mo9FIhw8fpqFDh1JAQACtWrWKGhsbyWg0ksFgoI6ODjpz5gy98cYbNG7cOAoKCqLIyEh66aWX+PJiWZZycnIoOTmZvLy8aPny5VRWVkZ79uyhsWPHkq+vL02fPp3OnTtHnZ2dlJmZSYsXL6bQ0FAaPHgw7d27l9cVohvlfv36dfrpp5/o+eefp5iYGAoKCqK4uDj65z//SQzD8LrO1b29e/fS9OnT+Xrh7e1N3t7e5OvrS8HBwbRt2zb64IMP+Pq1evVqun79Om3fvp1GjRpFYWFh9PTTT1NtbS0ZDAZeFqPRSC0tLfTvf/+bpk6dShERERQTE0Nr1qyh8vJy0ul01NXVRampqTRx4kSyt7cnOzs78vHxoeDgYBowYADt3LmT9uzZQ4MGDSIPDw964403SKVSkdFo5PO5paWFdu7cSVOnTqWQkBDy9/enkSNH0ptvvkkdHR296jYnm8FgoIqKCnrllVcoOTmZQkJCKDExkWbNmkWhoaG0YMECKi8vJ4PBQHq9nqZNm0aBgYGUnJzMt7ksy/J17YsvvqCFCxdScHAwBQcH04wZM+j48eOk0+n4uvzYY4+Rn58fxcfH0/fff0/5+fn03HPPUUREBMXFxdG//vUvam9vJ5VKRW+88QYlJiZSREQEvfjii3T16lU+b1mWpa6uLrp06RK98847NHHiRAoODqaIiAj64x//SHV1dcSyLBmNRv7akydP0pIlSygmJoaCg4PJ19eXvLy8yNfXl4KCgmjZsmWUnZ1Nc+fOpYCAAHrooYeopKSEzpw5Q/PmzaPAwEAaO3Ys/fDDD73KmWEYys/Pp2eeeYYGDhxIERERNHPmTDp48CC1tbWRXq+n6upqWrNmDbm4uJC1tTW5ublRUFAQhYSE0Nq1a+nbb7+l4cOHk7e3N40bN86sPeN09eTJk/Tss8/yuhoREUFPPfUUZWVlkV6vv2W9vqVRDQ8Pp127dtGWLVvI0tKStmzZQt3d3cSyLGk0Gpo2bRq99NJLlJmZSUOHDu1lVCsqKig+Pp4GDBhAe/fupaamJtq/fz+NGDGC3N3dKS8vj8+w9vZ2+uijjygkJIRWr15N5eXllJ2dTSNGjCArKyt66qmn6MSJE1RWVkbt7e30zjvvkLe3N61bt47mz59PL774Ir355psUGxtL9vb29Mwzz1BnZydfKTQaDe3atYt8fHxo06ZNVF9fTzk5OfToo49SXFwcpaenk0ajocuXL9P+/fvJ1taWRowYQYcPH6YTJ05QRkYGKRQK6ujooG+++Ybs7e3p6aefNstghUJBzz77LAUGBtKHH35ISqWSjh49SgkJCTRu3Dg6e/asWQFy+dTZ2UlfffUVOTg40MyZM2nJkiW0evVqevvtt2nevHnk4OBAUVFRdPr0ab6xqqqqopSUFHJwcKCsrCwaN24c+fj4kIODA40ZM4bvKBw+fJiio6Np/PjxVFRURA0NDfThhx9SYGAg/eEPf6DCwkJiWZb0ej11dHTQsGHDyNfXl1avXk0LFiygv/3tb/Tqq69STEwMOTo60qpVq0ij0fDGsrCwkObOnUszZ86k06dPU2trK+3cuZNcXV3pscceI41GQ3q9nhiGoR07dlBQUBC98MIL9Pnnn5Ovry+5u7uTtbU1LV26lEpKSmjz5s0UGBhI8+fPp9TUVEpLS6PTp09TcXExvfPOO+Tg4MCXl1ar5Svy7t27SSaT0cMPP0y5ubnEMMwtFf9uwjUOmZmZlJCQQFOmTKGsrCxqa2ujY8eOUVRUFNnY2JgZVY1GQ/v27aPExERatmwZ1dfXk9FopK6uLlq/fj35+fnR2rVrqb6+nvLy8mj+/Pnk5uZGb7/9Nq8zDMPQ8ePHadCgQTR79mx6+eWXacmSJbR582ZKTk4me3t7Gjt2LH3xxRe0bt06+vvf/07z5s0jV1dX8vb2puLiYt5w5Obm0rRp0ygmJoa+++47am5upvT0dBo4cCCFhYXRjz/+yNcNjUZDH3zwAQUHB9Nzzz1HVVVVlJ2dTbNmzSJHR0datGgRpaamUkVFBbW1tdE333xDdnZ2NGfOHHrrrbfo8ccfpw0bNvCd3bVr1/JGjGVZam5upr///e+UkJBAn332GSkUCsrMzKTY2FiKjo6mK1eukFarpbKyMtq6dSvFxcXR5MmTae/evZSenk4ZGRlUWVlJGo2GvvrqK3J2dqb169dTa2srbxSbm5tpyZIlFB8fTzt27KBr167Rp59+SlFRUTR58mRSqVR9GlW9Xk+FhYWUlJREERERdOrUKVIqlZSVlUWzZ88mCwuLXka1qamJFi1aRNHR0XTw4EEiutH53rdvH0VFRdGQIUOouLiYGhoa6KOPPqKwsDCaPn065efn80a1s7OTli1bRv7+/vTaa6/RypUrae3atbRkyRLy9vYmR0dHOnToEK1du5ZeffVVWrduHQ0cOJAcHBzonXfeoY6ODv5Zb7zxBvn4+NCKFSuoqqqKSkpK6KmnniJXV1fasGEDdXV18Tp68OBBiouLo7lz51JOTg6Vl5fTvHnzyMbGhkaNGkVHjhyhgoIC6uzspIsXL9JDDz1E8fHx9N5779HEiRNpy5YttHTpUrKzs6PRo0fT6dOnecPKMAxlZWVRSEgILVmyhCoqKqi8vJxWrVpFISEhtGPHDlKr1dTc3EzHjh2jhQsXUmBgIG3atIlOnDhBJ0+epIKCAmpra6OioiKSyWSUkJBg1oZ3d3fT+++/T2FhYfT8889TdXU1Xbx4kebMmUPR0dH0zTff/G9GNSIigvbs2UNHjhyhQYMG0cKFC6msrIx0Oh3l5eVRQEAAnTx5ks6cOUPDhg0zM6osy1J2djZFRUXRCy+8QAzD8COnF198kRwcHOjLL7/ke1elpaUUGxtLjzzyCF2+fJl0Oh3pdDo6dOgQubm50ZAhQ0itVpNeryeNRkP/+te/KCwsjCIjI+nIkSOk1WpJp9NRRkYGOTg40PTp06miosKsl+7j40OTJ0+mzs5OYhiGNBoNffHFFxQZGUnPP/88NTY2EsMwVFtbS3K5nKZNm8anyT2HYRg+DVOjyrIs7dixg0JCQuivf/0rdXR0EMMwpFar6ZtvvqEVK1ZQXl5enxVPp9PRqVOn+N7+J598Qu3t7cQwDHV1ddHcuXNJLpfT0qVLSa1Wk9FopI6ODpo2bRrZ2dnRzJkz6fvvv6empiZ69913afny5ZSXl0dFRUU0duxYGjBgAF9uer2eWltbacOGDeTg4EBbtmyhzs5OvqP05z//meRyOc2aNYtycnJIr9eTVqulH3/8kYKCgsjGxoby8vKIYRhSKpW0YcMG8vf3p7179/Ll293dTePHj6fw8HD6+eef+RHOgQMHaMCAATRy5EiaP38+VVZWUl5eHs2aNYveeOMNYlmWDhw4QNHR0bR27VpSqVS8zAaDgXJzc2nKlCkUHh7OlzlX8bOysigwMJA+/vhjs97tvYjBYKCmpiaaM2cOJSYm0tGjR8lgMJDBYCCdTkcffPABubi40MKFC3mjyundmDFjeKPKsiy1tbXRY489RrNmzaLCwkLeW3L48GEKCwujhx9+mLRaLRHdMOYXLlyg8ePHk7e3N23evJlaWlpIq9Xy9c/BwYEWLVpEZWVlxDAMtba20rhx48jW1pY+//xzvizT0tJo9OjR9MYbb1BzczNf7u+//z7vjeDSzc3NpaSkJIqPj6eGhgbS6XSk0WgoLS2NwsPDaebMmXT58mUyGAzEMAydOnWKrK2tKSIignbt2sXrwA8//EAxMTGUnJxMzc3N/LseOnSIwsPD6eWXX+Zl0Wg09O6775JcLqeXX36Z79hlZGTQ6NGjaenSpVRTU8PrFle/Dx48SCEhIfTKK6/wRlWn09GHH35Ifn5+tHnzZtJoNGQwGKi7u5vWrVtHzz33HKnV6j7rtkqloqVLl5KPjw8dPXqUtFotbzy///57CggIoIULF/JGlWVZam9vp5deeoliYmJ4o8owDG3ZsoUGDRpEP/74I+l0OmIYhqqqqmjFihUUHh5OP/74I1/OWq2W/vKXv5CTkxNNmTKFr8vNzc20YsUKksvlFBQUREeOHCGGYai7u5u2bdtGjo6OtGzZMqqurubbu8cee4xSUlIoPz+fb8fT0tJo0KBBNGnSJGptbSWDwUB1dXW0aNEiGjp0KP3000+k0WiIYRgqLy/nR6uFhYV8O1FVVUUzZ84ke3t7WrVqFanVamIYhmpqamjp0qUUGhpKn3/+Oel0Or7zNGzYMAoLC6PKykpiGIZvO5OTk2n8+PFUWVlJBoOBz8Po6Gjav39/r3Lu6uoiKyurXkb15MmTNHjwYJozZw61trYSwzCk1WopMzOTFi5cSKmpqb0GRj25bdiTSCRCUFAQ4uLicPbsWVRUVMDDwwPff/89oqKiEB8f32d0lUgkgo+PDzZu3IgBAwaY+cPd3NxgbW2Njo4O3pff3d2NkpISfg5XKpWCiPjorKamJrP5Mu5n1KhRiImJgUwmAwB4eHggLCwMKpUKCoUCgYGBICIcOnQIXV1dmDBhAj+vxLIs/P394erqitzcXHR2dsLFxcUsnZ4bX9D/9//39PO3tbUhLS0NDQ0NGDVqFKysrCCRSGBra4vZs2djzpw5N513EYlEkMlksLW1RWRkJEaPHs2H8hMRlixZgsOHD6O6uhoNDQ0IDw/nnyUWi5GSkoLJkydDKpVi5cqV/DzBZ599hqqqKkycOBFubm6QSCSQSCSQy+WIioqCtbU1srOzMWPGDH6NnK2tLRwcHDBp0iQMGDCAX3aQlJQEX19fNDY2Ijs7GxEREaitrUVWVhZCQkLg7e3Nz+EYDAaMHDkSn332GfLy8vglVtxPR0cH/va3v8HPzw8ikQi7du0ym8MyzXfTZQ8BAQFITEzExYsXUVRUhGHDhsHCwgIMwyAnJwcREREYO3bsPR8ZS0SoqqpCeno6hg8fjpiYGDOZQ0JCegUrmc7nmH5maWmJJ554AmKxGCEhIfxckKurK8RiMVpbW/ucd/L390dycjIcHBwgFovh5uaGmJgYqFQqjBw5EiEhIRCJRHBwcEBiYiJycnLQ1dXFPys8PBxr1qxBVFQUHB0d+TlNHx8f6PV6tLe383W7rq4OarUanp6ekEql/ByWo6MjfH190d3dDZ1Ox+cB957u7u545JFHeB0ICQmBk5MTioqKoNfrQURQq9U4ffo0RCIRwsLCYGlpCYPBAJZlkZCQAI1Gg8zMTLM5Me75fW1q01ecBMMw2LZtG2xsbJCUlMS/g0wmw8aNG81k7klhYSGKiorg4+PDb+TBvaerqyu8vLz6DErr+TyxWIwJEyYgODgYycnJAG7M+1laWsLJyQkdHR3QarVm5SwWi2FtbY3BgwcjKioKUqkU9vb2iImJQWpqKgYNGoTk5GS+ngUFBcHPzw86nQ4Gg4Fv65YtWwa9Xo/IyEg+XblcDktLS7S1tcFgMAAANBoNysvLYWVlBQcHB77cPDw84OLigqamJqjVar4+c+9oYWGBP/zhD7C2toZEIoGdnR0iIiKwf/9+1NXV8TqdmZmJqqoqjBkzBs7OzryM3t7ecHZ2Rnp6Oh/R3dNO9CznngFinG06evQoKisrsWzZMl4eiUSCoUOHYujQof1a4tevWGIvLy8MGzYMp06dQk5ODjw8PHDo0CG8/PLLkMlkNzUUnp6emDVrFlQqFYqKiqBQKNDa2opLly5Bp9PxO8fIZDKIxWLY2dnBYDCYLaXQ6XQAACcnp17pSCQShIWFwdra2mwSuq/ghgsXLkCj0aCmpgbffPMNxGIxH5TU0tIChmH4tH4pRqMR9fX1aG5uhqurK994cPJYWFjwf98KLlDC9H3EYjHi4+MhkUig1WrR3t5udr1UKkVKSgrfQJgGQ1VXV0OpVCIoKMisnEQiEVxcXODl5YXa2lqoVCoEBASYydHvqs4AACAASURBVOvi4mLWyNna2iIqKgp5eXm4fv06DAYDmpqaUFpaCnd3d5w8eRJFRUUAbgTblJSUQKvVor6+3iwIQiQSYdSoUXBzc+ONZ3+NoJ2dHYYPH46ff/4ZmZmZmDNnDuzs7NDc3IwTJ05g/PjxCAoK6tez7iZGoxE5OTmQSCTw9/fvtd60vxH0IpEIVlZWGDt2LLRaLWpqatDY2IjGxkaUlpaivb0dNTU1fd4bEhLCG15Oj/z8/HhDx6XPGaueUdg+Pj7w8fGBUqlEcXExFAoFGhoacPHiRXR3d6OyspKve1zj1N3dbRb8wbIsdDodbG1t+U4xl6aFhQWioqJgZ2dnJkvPgJKuri4UFhaCZVlcuXIFX3/9Nb9ZRm1tLQwGA9RqNdrb23tF+vYHIsL169dRWVmJ0NBQBAUF8fraM5ipLyoqKtDa2ork5ORebaW1tTXs7Oz6FVAnkUgwcOBAREdHo6GhAaWlpVAoFKipqUFhYSEaGhrQ2tra6z5bW1vExMTw7ZFYLIa3tzesra0xYMAAsyAdZ2dneHp6mgUwSSQSjBs3DgzD8PqlUChQUlKClpYWKBQKMwNsa2sLrVZr1oZrNBoAN8rP1tbWTD6RSITg4GC4urqatZmmgUsceXl50Gq1MBgM2L17N18OarUadXV16O7uRmtr600DM2+HWq1GVVUVOjo6EBISwpeXaVBXf8qqX0aVK1B/f38cO3YMBoMBFhYWSElJuWnlJ7qxlV9mZiaOHTsGS0tLODg4gGVZdHR09HppZ2dnTJo0CVeuXEFGRgbs7e3BsiwOHToEg8GA+fPn97nUoD89BwBobGwE0Y3lMs3NzXwmWVtbY8GCBSAiyOXyPt+jP3R0dECj0cDNzY03oqYy9oee0Wk90ev16O7u7nWP6W4gpveqVCpotVregJni4OAAZ2dndHV19VqLezMZuM9UKhWfl21tbXBxcYFKpeKvIyLExMRg4MCBCA0N7dVLdHR0NGuM+hodmP7m4PQwLCwMp0+fRn19Pdzd3XH27Fk0NjZi9uzZ982WbgqFAlKpFG5ubn1+3x+d4erY1atXcfjwYSgUCri4uAC4UUa3alxuVo9ulm7Pzzs6OpCTk4PMzEwAgI2NDb9kpaeuhYeHIyYmBmfOnMGxY8cwceJEGI1GnD59Gq2trXjooYfg5eXV7zww7Szr9Xq0tLSAiNDV1YXm5ma+sZXJZHj11Vfh7OzcK5q6vxDd2OAGuLEMw9nZuV8ycqhUKmg0Gri7u/9PEeksy0KlUiE9PR1ZWVl8ZHB3d3evNqEnfZV1f2Tn0q2pqcHhw4dx7do1vrPd2trKR9RyZeHk5ISxY8di165dyMjIQHBwMBwcHPDzzz9DoVBg7Nix8Pf37xW1219ZFAoFr/PNzc18XSciTJ8+HVOnTu21M9IvMa6dnZ18B4BrM3t6hvpDv43qgAEDEB4ejj179qClpQWzZ8/u0whxGI1G5Ofn4/XXX4dcLseqVasQEREBFxcXiMViXLp0yex6FxcXLF68GP/4xz/w6aefIiMjAzKZDNevX8fy5cuxePHim46K+4OlpSXEYjH+8Ic/8C7CnpkvEonMQq9ZlgXDMHzv6lYFZGVlBZlMhpqaml9t0wJuLXB/sbGxgYWFBRobG3s1KhqNBp2dnZDL5bC2tu51760aYw8PD773JpPJMGDAAPzxj39EcHDwbWW6XePN0ZfXQCwWw8vLCwkJCUhPT8fp06cRFRWFr776CqNHj0ZgYOA97/rlsLS0hE6nQ319fZ/f96cxICJ0d3fj7bffRlFREVasWIHk5GR4eHjg2rVrSE1NhVqtvtOiA7gxati4cSN8fX3x2GOPYcCAAXB3d8eRI0fw008/mZWvp6cnFi1ahNzcXGzbtg1paWmQSqVoaWnBnDlzsGDBglu2JbdCLBbDwsICHh4emD9/Pu+e5TAdXXBuSgBgGOa2hpYrA25tvsFggEql+kVrhLklYaZuzP8GlmWxZ88ebNu2DVOmTMG4cePg6+sLqVSK7u5unDp16r96bn/Sfeutt3DhwgU8/fTTGD16NPz8/FBdXY2LFy+adabt7e0xZcoUXLp0CXv27EFFRQVsbGygUCjw6KOPYvny5WbTWr8UzqOZnJyM559/vpc94MqaW1oH3LBD/WmPiQiWlpb8gKilpQVGo/G/6gj1y6hycytDhgzBkSNHoFQq8eijj940c+j/r5H69ttvUVJSgv/7v//DqFGj+Aavvb0dOp3O7F6tVovq6mrExsZiwoQJvJ/f0dERQUFBfA/8vyU6OhqFhYXIyclBUlKS2RpHbl7A1MVMROjs7ERLSwvkcvktlUAkEsHNzQ0ODg5oamri5z25eWGNRoPu7m7Y29vD0tLytj1w07RMe8r29vbw8PDo9ztzrsWamhowDANLS0v+mSqVCk1NTRg4cCDvbjRdb2oqB/c3p2jcuzk7O8Pf3x/Xrl1DU1MTgoKCeJ3Q6/VQKpW8O7unO+dWRptzXXPzZqbXS6VSjBw5Env27MHBgwcRERGB6upqvPnmm/91h+u3hotT4EYBzc3N8Pf35/O5pKQEDMPctuExGo0oLCzE8ePHkZKSgunTp0Mul4NlWbO5rjsJVy+ysrJQVlaGxYsXY8yYMZDJZDAYDGhtbTU7jAP4j4vWdAtTiUQCR0dHBAQE8KO4/wYrKyuEhobizJkzqKysxIgRI3ijajQawTAMmpub+d3PuEa3rq6uVxt0M++Mv78/7OzsoNPpUFlZCRcXF0ilUn4eWaFQwN3dvU9PmqenJ+zt7ZGbmwutVgs7Ozu+nDn37c2MtKls169fR2pqKogIjz/+OB8D0dTU1OfOUDd7zi+B2zFv//79GDJkCObOnQsHBwdIJBJ0dnZCq9WaPVun0+Hq1avw9PTE3Llz4ejoyNsOf3//Xutuf6lskZGRkEqlOHv2LJ555hmzKQm9Xg+FQmHmKSQidHR0QKFQmKXVl2dMJBLBycmJd0OXl5cjKSkJVlZWfF50dnaCZdnbTs/0+Q1X6JzScIkOHToUAQEBSE5O5ofx3PWmC5m5/xsaGvhgAu6zsrIyXLp0iZ9f4RpyhUKB7du3QyaTYcyYMZgwYQLGjh2LhIQE3qiZNvpcehqNhq/EPQ2BqewpKSmwsrLCv//9b1RVVfGbC7S1teHrr7/G3r170dnZyVd4Nzc3qNVqfl5GoVCgs7OTzxOj0Wjmxvb09ERISAgsLCywe/dudHZ2Qq/XQ6fTITc3F59++inq6+tvqUREhKamJiiVSj6QimVZnDhxAnZ2dhg7dizvfjLNZy5/ezJixAj4+/vjzJkzaG5u5k/gaGtrw+XLl6HRaDBixAh4enqaKZpWq0VFRQWfPudi5CrM6NGjIZVK4eXlhdjYWOTn5yMzMxNqtZrP16tXr+If//gH8vPzzcqGc9PdrNfu4OAAS0tLXL16FS0tLTAYDNBoNGhoaOCviY6ORlRUFEpLS7FhwwaMGTMGoaGh95VRHTZsGNzd3VFTU4NTp05Br9eDZVnU19cjNTWVH0mZ1ivuf07nOXdrR0cH2tra+Ou6u7tx8OBBKJVKADB7BvCfXcNMOy2met2zvEzT5gyVWq2GUqnkXY9EhPb2dnz55Ze96mJxcTEOHjwIuVyOUaNGYfz48UhJSUFiYiJcXV37bDtM69etfuzt7TF48GAolUqkp6eb1W2VSoWPPvoI+/bt4/Pdzs4OVlZWfGeGu7a2ttZMJ7m5O5FIBBsbG4wbNw5tbW3Yt28f1Go1H/tx4MABfP3112AYps+yjo2NhZeXFxQKBVJTU/mNCFpaWpCVlcV7kUzT5v43GAy84e/q6kJHRweam5v56wwGA0pKSpCRkcGXQc+8ZFnWbC7b9JrblTU34ODc6qa6k5aWhtraWrP7lEoldu/eDbVajaSkJIwfPx7jx4/HkCFD4OHh0StN7u/u7m5+XrYvWTjZR44cCUtLS+Tk5CA9PZ0vu66uLvz888/Yvn07lEol70VzdnZGZ2cnqqur0dnZCYPBgOvXr0Or1fK2hGVZPgBPJpMhLi4OHh4e2L17NxobG83as88//xyFhYW37Qj0GqlyGapWq/nGjAsmioiIwJ49e/goMpFIBJZloVar0dTUxFcEbseWKVOm4ODBg/i///s/NDQ0QCwWQ6VSISoqCuXl5bzh4RSooaEBO3bswLffftsr8m3GjBl44YUXEBgYCJZl0dLSApVKhZKSEnR2dsLR0RFENyL1uJ4b13hLpVJMmzYN2dnZ2LlzJx599FHMmjULNjY2yM3NhYWFBdauXcu/k42NDR555BF8+umn2LhxIyZOnIj8/HzMnDkTkyZNwvXr18EwDK5cuYK2tjbI5XJIpVIsXLgQ586dw/79+1FTU4PJkydDoVAgMzMT8+bNQ0BAwC0bfqPRiHPnzmHXrl1wdHSEi4sLDh48iHfffRejRo3C448/DplMxo8a1Wo1GIZBbm4uH0Bh2oOKjY3FvHnz8MEHH+C5557Du+++C2dnZ+zfvx9ff/015s6di4kTJ/YKQlGr1fjhhx8QGRmJpKQkNDY24o033oBarcb7778PR0dHfq/nBQsW4MqVK3jnnXeQl5eHuLg4qFQqHD9+HLNmzUJiYiKvvEqlEl1dXbhw4QK6u7t7BS0AN3qjgYGBSEtLw8qVK/HII4+gpKQEgwYNwooVK/iI6kmTJuHUqVOoqKjAF198wY/C7we4iMhnnnkGr732Gt5++20UFBTA0dERJSUlGD16NE6dOoXq6mqoVCpYWlqCZVm0traivb0dra2tUKvVcHd3x6BBg+Dp6YmzZ89i1apVSExMxOXLl5GUlAQXFxfU1tZCqVTyo0HOAHMBJ5zLXqfToaysDEqlEpWVlfwol2VZ5OfnQ6fTobCwEAaDAY6OjoiOjoaDgwM++ugj1NXVQS6XIy0tDX/605/wxBNPQKvVoqOjAzY2NtBqteju7sb777+Pjz/+2Mz9b29vj5SUFKxcuRKRkZHQ6/W96peTkxMf6MRFpiqVSri5ufF1taCgAHv37kVdXR3Gjh0LS0tLpKenw97eHu+99x6f70FBQQgODsa5c+fw0ksvYcaMGSgqKkJISAhefPFFqNVqtLW14erVq2huboazszMkEgnWr1+PrKws7N69G7W1tRg8eDCKi4tRXl6O119//ab6FxAQgAULFuDq1atYt24dSkpK4OrqiqqqKtjb2yM+Ph719fVQKpUIDAwEcMM1XV9fj5aWFpSWlsJgMCAgIADh4eG4fPkylixZggULFkCpVKK5uRkTJ07E5cuX+TlBmUzGd9Da29uRl5eHOXPm8N6EyspKdHZ24uLFizAYDHyb0djYiJqaGuh0Oj54MT4+Hv7+/qioqMDy5csxcuRIlJeXIzg4GKGhocjPz+fLgrMFFy9exMmTJ3vFTQwaNAjr169HYmIiP0fc0dGByspKNDY2Ijg4GFKpFAaDgTeC3DtZWloiPDwcmzZtwqpVq/DCCy9g4sSJCA4ORklJCerq6vD888/z0wiWlpYYOnQopFIp9u3bh+7ublhaWqK7uxtr167lOyvcqpPExETIZDJMnz4dx44dw8mTJ7Fw4UJMnToVRITjx49j+PDhiIyMvK1XRbJhw4YNph8QEY4cOYK//OUv6O7uRnFxMaytrTFo0CC+QePceUSEc+fO4c9//jNUKhVUKhVqamqQmJgId3d3REREQCKRICcnB0VFRfD19cWTTz4JuVyOCxcu4OLFi2BZFqNHj4ZMJoOVlRXfA2EYho/I1Wg0uHTpEsrLy/Hoo48iLS0N7777Ljo6OnD16lXIZDKMGDECOp0Oy5Yt4yO4FAoFBgwYAC8vLz5K1snJCRUVFTh+/DjKy8sxdOhQrFmzBpGRkfw8K2cw6uvrcfHiRbS1tWHhwoWYNGkSsrOzsXbtWt5X39DQgOHDh8PW1hYuLi5ITk6GwWDAiRMncPbsWbAsi5UrV2LhwoU3nRPmRvU///wzbGxsoNfrsXXrVrz33nsoKSnBokWLsH79en7z7ZaWFmzatAlnzpyBVCrFhQsXEBoairCwMLPnSyQSDBo0COHh4cjJycGWLVvwxRdfoLm5GU888QRWrFhhtnE4y7I4ffo08vLyEBkZiZMnT2Lz5s3Yu3cvgoKC8Je//AWjR4/m54nEYjF8fX0RGxvLz+tkZGSAYRisXr0aixcv5t0np06dwnvvvccvrzh37hwee+yxXgoqk8kQFBSEyspK5OfnQ6FQYNasWViyZInZtodyuRw//PADRowYgeXLl99XewRzOhYeHg43Nzfk5+cjOzsbbm5uePbZZ+Hm5obDhw+jtbUVRUVFGDFiBCoqKrBlyxa+M1pZWYlp06bxy7BKSkqQl5cHnU6Hxx57DJMmTcLBgwfR2dmJ8+fPY+TIkejo6MC7776Lixcv8t6IlJQUODo64vXXX8fhw4f5KE9PT0+Eh4fjgw8+wHfffQeWZflo8oceegju7u5wcHBAYWEhLl26BLlcjldeeQURERH48ssv0dbWBrVajYSEBPj5+aGlpQX5+fl8R5qr321tbcjJyYHBYEB8fDxycnKwceNGaLVaMAyDhoYGDBs2DPX19diyZQvy8vJgYWGB06dPY/To0XBzc4OTkxNiYmLg6OiIvLw8nDhxAjU1NZg+fTpeeeUVvt6IRDeWrnl7e6OxsREFBQWorq7GI488gj/+8Y/Iy8vD+vXr0d7ejsbGRhgMBgwZMgS2trZwdnbGxIkTUVdXh6ysLL68Xn31VQwfPvymdVssFiM2NhZyuRxXr17l68eKFSv49718+TIuXryI8ePHw8nJCa+//joOHTrEn7vq6emJqKgoREdHo62tDdnZ2SgpKUFCQgKee+45tLe34/Tp06iqqoKXlxeCg4Oxfft27Ny5EyKRCA0NDfzSmgMHDmD79u1oa2tDQ0MDqqurMWXKFFy5cgUbNmxAVVUV2traUFJSgpSUFMjlciQkJODq1avIyclBe3s7Zs6ciRkzZiArKwsNDQ3IyMhAcnIyvLy8YGtri8zMTHR0dJiVs1arRWlpKbKysjBt2jQolUps27YNZ86cAQBcunQJycnJcHR0xO7du7Ft2zYAQE1NDezt7TFgwABYW1vzXqqWlhYcOXIEBQUF8Pf3x6pVq/iRLNdOODg4wM7ODnl5eSgrK0NgYCD+9Kc/gWEYLF26lB8h19XVITY2Fu7u7rC2tsb48eNhYWGBCxcuICMjAw0NDZg/fz5WrlwJV1fX26/ioD7Gsj3dvj33nb3ZtUTUa99IzjVrGqDCXWs6mXzq1Cm8/vrrmD59OlauXMk3xkSEvLw8TJkyBZ6envj2228RGRlp5s4wTZNbg2oaCs01xJw8fSl+z30+uedwjWDPfTW5yXDTvS/7cpmb3n+zPOTOT1y9ejUiIiLw+uuvw8/Pz7ygRObrFDn3H9F/9s292XyFaRn0fG/TUQPDMNi0aRP+/e9/4+9//ztmzJhhFvRhWoamZdfT1d7XO3N5z+Wbad71lLkv/TNN12AwoKCgAM888ww2btyIlJSUXhHX9wOmOgbATI8AmJVtT9cZp/Omen2zsjHV0Z71g+tQmeY5t9SJk8FUf7jv+pLdFO45AHD48GG89tprWL58ORYtWsR3gAwGA9LT07Fx40ZIJBK8//77iI+P5+f3e+pIX7L3rHem9NQdjp57K5vmG5eGaZ36X+q2aR001X3TtoR7zq3Koq+6zKXNyWy6xKdnuXHfmbrxe+ZvX/XTNE3TdHu+n0gkQmlpKdatWwd/f38+6pqTpba2FgsWLIBKpcLmzZsxffp0Xh5TPTeVnaOnrvc1dWRaBj31pWc5m+qB6fNNy6Rnm3m7cjalz0Cl/t58u2s5QW4FN0f05Zdfwmg0IiUlxewMQ6PRiIEDByImJgZqtRo2Nja3TPNm6x5NlfB2cAr1SyNJ/9v7gP8o580WK/ekP+lwefhLlplwcnDPv929XH72R5b+yNFXHnLTEZybqbOzE//617+QkJCAIUOG/NdBLnebX1LPbqa7XBn3lf83++yXfH6zdPsjOzfP9s0330Cj0WDMmDH8mlXgRmRsZGQkwsLCoFAoIJPJbqnXt5Lxl9S7W117s7r3v7QJwC+rg32lwz3nZmXR1yYWv7Tcbibj7WQnIuh0OqSmpqK8vByLFi0y8w4YjUb4+vpi/Pjx2L9/P7/2+Jfq3C9pw4Hb6+j/aiduxj2xqI/oRjizWq1GeXk5wsPDYW9vD4lEAqVSicuXL6O5uRmTJk1CQEDAfduI3gqdTscH+vQ1mv4t4OZqjUYjvzvLvQA3r7d9+3akpKSgvr4eBQUFeOWVV2Bvb/9A6sODhLW1NTQaDcrKyuDu7g4XFxcYjUaoVCpcvnwZSqUSY8eOveNHcAn8tkilUjAMg6qqKjQ1NcHFxQUWFhZQq9W4evUqCgoKkJiYiLi4uAe6zt51oyoS3dgVZsmSJdBqtUhPT0dtbS2srKwglUr5nZdmz56NJ5988oGrdEQ3QuvPnj0LhUKBq1evIisrCy4uLnBwcPjN3tdoNOLSpUvIysqCVqtFRkYGBg4ciLi4uN8k/VshEomg0+mQmZmJvLw8eHt7Y968eRg8eHCfLmSBewdnZ2fMnj0bDMPgyJEjyM/P56P5NRoNlEolRowYgblz5/ZauC9w/2BhYYFJkyahrKwMxcXF+OSTT2BnZ8evx25vb0dQUBCWL19+0w1PHhT6nFO9GzAMg+rqapSXl+P69evo6uoCcGN/zMDAQD4Q4UGrdFyQ0tmzZ9HQ0ACRSITw8HAMGzbsN3tfbp4iJycH58+fh9FohI2NDYYNG9brcN+7AcuyqK2txZEjR2A0GhEWFobBgwc/kPrwIKLT6VBXV8dHaWo0Gj6QJDQ0FFFRUYJBfQAwGAz8Fpk1NTX8Uj9unSoXNPqgl/M9Y1RNAwFM16OaBgw8qC4Dbj0oN0nObUTdc2L914TLf9MNA/ozp/pb0FM3TAMLHvQK+iBgGvxhGuhjGvgE9H8bOIF7E9NAIm4Ki2vDewZ1PsjcM0ZVQEBAQEDgfufBHPoJCAgICAjcBQSjKiAgICAgcIcQjKqAgICAgMAdQjCqAgICAgICdwjBqAoICAgICNwhHnijajQaUVFRga+++oo/uk1AQEBAQODX4IE3qizLoqCgAG+99Rba29sFo4r/rCf7pff82mkI/D4QdEPgQabXyn5ukTZ3zilwY09HbkMC4MbuR9wmAaa790skEhgMBv47sVhsdkxYX7Asi46ODvzjH/+Am5sbnnrqKf74s5s9h0vDdCG5RCLhr7mTcCeiHDhwAImJiZgwYUKf54DeD3Cnguzfvx86nQ7Dhw/HrFmz4OLi0uf1RqMR2dnZ2LdvH5qbmxEREYHnnnuOP9SgL1iWxfvvv4+ioiJYWlpi/PjxvU67Efj9QURobGzEZ599hqqqKjg4OGDhwoX8kZICAg8KfRrVc+fO4cMPP0R7ezsAICoqCitWrEBkZCQAYPXq1bh69SqAGwbPz88PTzzxBKysrPDZZ5+hvLz8xsOlUqxYsQJTp069qQBGoxG5ubnYu3cvHn/8cYhEItTW1uKLL75AdnY2DAYDJBIJnnrqKf45165dw44dO5Cbm8sfeZSQkICNGzfy78D1hHseTWe6Y1N/dvfg9iM+cOAAfyzVL8G0R343dxLhOh8BAQGws7PjTwWaOHHiTY0qEcHf3x/Ozs749ttvUVdXhxUrVsDa2vqm1xMRRo8ejRMnTuDChQtwc3PDlClTBKMqAFtbW4wfPx7z58+HSCRCUlISEhISBKMq8EDRy0KIRCIMHDgQY8aMwfnz51FdXY3Y2FgEBwfzRmHFihVoaWnBhQsXIJFIMH/+fERHRyM8PBwJCQmorq7G+fPn8fDDDyMpKemWhshoNGL//v2wsLDAmDFjYGlpCS8vLyQnJ6O5uRnnzp2Ds7Oz2XO8vb2RlJQElUqFjIwMAMDSpUvNzkNkGAZdXV3QaDTQarXQ6XRgGAbd3d3o7u6GVqs125LvZjQ0NCAnJweBgYEICwvr97mdptv+MQxz106e4eA8Cn5+fhg6dGi/GjKxWAwPDw+MHj2aP8qpP2nExMQgNjZWaCwFeEQiEezs7BAfH4+QkJAHdstRAYE+jaqNjQ2Sk5NBRHBxccGgQYNgZWXFH+Jqa2sLhUKBiIgIfPTRR0hKSoKtrS2sra0RExMDJycnEBGmT59+y5NWuOOfDhw4gNDQUAwbNgwSiQQymQzR0dGQy+UwGo2YNWuW2RmrlpaWmDBhAqKjo6HX6zFnzhz4+vryzy0qKsKMGTMQHR2N6OhorFmzBi0tLRg2bBhiYmIQExODKVOmIDMz85aZQ0QoLy9Hbm4uRowY8YuPndNqtXjzzTcxZ84cfmR/N+Hc5DKZrN/nyorFYtjb2/Plfzs4F71MJvtd7PMp0H+4KSJONwQEHkT69MmJRCI4Ozv32sieO4z2448/hlwuxyeffAJvb29IpVK+klhbW/Nzm7c6louIYDAYkJaWBo1Gg9mzZ5tdzx0b1NdzuA2aud89N6CPjY1Famoqn8ahQ4fw2muv4ejRo3Bzc+PlvVXFNhqN6OzsRF5eHsRiMeLi4mBnZ9fvxsBoNEKv16OxsRFdXV3Q6/X9uu9eRGgABQQEBPrHbSe6TBvU7u5u/Pjjj8jOzsZbb72FqKgoM4PKXd+fRpg7T3Hnzp1wdnbGmDFj+nzOzZ7X8/Oef3OuRyLiTzURi8V80NXtMBqNuHbtGs6dO4fExESEhobyaXCHeLe2tqKjowMMw/AHrTs5OcHV1RVarRbl5eU4fvw47O3tUVxcDIZhIBaL4enpyR911dXVhfb2dnR1dUGr1fIdGnd3d75Hr1QqUV9fD51OB1dXV/j6+qK1tRWNjY1gWRaenp7w8vICAOj1enR0dKC1tRUajYZ/fxsbGwQFBfV6T4Zh0NDQRw2lzQAAIABJREFUAIVCAZZl4eTkBC8vL1hbW/fKdy6IrbW1Fc3NzdBqtbC2toarqyvkcvltXeMNDQ1oamoCy7Lw8PDgj4FSq9WoqqqCXq+Hs7MzfHx8YGlpyXtGDAYDVCoVlEoldDodP3p2c3Pj5XxQDT/DMLh+/TpUKhUkEgmfN01NTWhra4NYLIa7uzvvnufygatfzc3N6OzshF6vh1gshqOjI5ydnWFjY3Nb9zzLstBqtVCpVFCpVPx0iYWFBdzc3ODh4cHPo3d2dqKlpQVdXV1gWRZSqRRyuRxyuRxWVla39Yz8kucYjUZUVVWhra0NFhYW8PX1hZOTE8RiMWpqatDS0gIAvI4BQFtbG+rr66HVauHp6Ql3d3eoVCq+Drm4uCAgIOCB1SOB345+RY8QERiGQWZmJnbu3InFixcjJSXlfzogmohQUFCA4uJiLFy48J47Z0+v16OkpAQ1NTVYunQpPD09+e+MRiMOHz6M1NRUaDQadHd3o7W1FTqdDpMnT8bKlStRX1+PHTt2oL29Ha2trXj77bdhZ2cHqVSKZcuWYfLkySgrK8PZs2dx7do1aLVaVFdX49q1a4iNjcWaNWsQFxcHiUSCvLw8bNmyBWlpaVi0aBH+/Oc/Y+fOndi1axfUajVeeuklrFu3DkajEZcvX8ZPP/2E0tJSMAyDlpYW1NfXw9/fHz///LNZo8swDC5duoTi4mKkpqairKwMw4YNw/PPP4+HH364V3kYjUaUl5fjzJkzyMjIQGlpKWxsbDBz5kw8/vjjCA4OvmWeZmRk4K233kJVVRXWrFmDdevWQSKRoKysDH/6059QUFCAWbNmYePGjQgMDIRYLAbLsigtLcV3332HyspKaLVasCwLe3t7TJkyBTNmzOAN8IPI/2PvvMOrqrLG/d6W3OSm93rTeyMhNGGkSVFgALGgKI5+qIMNbDOOzoiOfvPTGUUdy9iQwQbioIhIb4YaSCUhhCSE9EB6vb38/vA750s3Oujn6Hmf5z4P3Jy79z57n7PXXmuvtXZ3dzebNm3igw8+wGq18oc//AEnJycOHDjA4cOHaW1t5YYbbuB3v/sdQUFB4kKkt7eXXbt2sWXLFmQyGQaDAb1ej7e3N7Nnz2bu3Ln4+fmNWHdbWxsHDhzg0KFDtLS0YLFYqKmpoaenhxUrVvDoo49it9tpbW1ly5Yt7N+/H5lMJgrjwMBAFi9ezJQpU3B3dx+xrtGW4+bmhtVq5cMPP+TVV1/Fzc2Nv/3tbyxcuBC5XM5nn33Gq6++SktLCw8//LD4XhQWFvLCCy9w8OBBHnjgAZYsWcKmTZv46KOP6O3t5dZbb+XVV1+V/AAk/m1GXD4KmklnZydZWVm8/fbbpKens2jRon9rIhNWpVu2bMFms3HDDTcMqT0Kzj5ms1mcFPp+RuNo1PfMxoFa9Uh0dHSwb98+fH19mTRpEmq1WmzTpUuX+NOf/kRlZSWPPfYY69evZ+3atSQkJIgH84aEhPCb3/yGqKgowsPDeeKJJ/j73//Oyy+/zLRp01AqlTz55JO88MILpKen8+yzz/LGG28wf/58jh49yq5du+jp6RG9JB966CGsVis1NTV89dVX6HQ6Jk+eLK7QhdX7X//6V7Kysli2bBlvv/02a9euJSoqiqKion73brfbOXfuHF9//TVhYWE8+uijLFq0iCNHjvDaa6/R29s7KJawqamJzz77DKVSycqVK3n44Yfx8vLirbfeYseOHfT09IwYfzh//nymTJmCSqXq54GdlJTEXXfdhbu7+yDP7cbGRl544QWOHz/OihUrWLduHU8//TSdnZ385S9/obi4+Gcde+zu7s4tt9zCjBkz6Ozs5NSpU1RVVTFnzhwee+wxQkJC2LZtGzt37hSd4cxmM7t27eKZZ55BLpfzxz/+kfXr17NmzRosFgvPP/88+/btEy0ZAxG03K+++or//u//Rq1W89xzz/HPf/6Thx56CJvNRm1tLfCN0P/www95+eWXiY2N5cUXX+Tdd99l5cqVVFZW8v/+3/8jNzcXi8Uy4rMx2nKsVityuZxHHnmEsLCwfp79ADfddBMzZ87s94w5ODgwZcoUli9fjru7O7W1tWzduhWdTsfMmTPRaDSSMJW4bIyoqdrtdurr63njjTeoq6ujsbGRxYsX4+Li8m9579ntdhobGzl69ChxcXGkpqYOa5K1Wq18+umn5OfnD6qzoKDgW+uSy+XEx8dzzz334OzsPGrT9MWLFzl06BAzZ84kKSlJfOlsNhtVVVXU1taSkpJCZGQkzs7OZGZmcu+999LV1YWLiwtOTk4oFArc3NzQ6/VERkaSlJQklmE0GvH19WXBggUsWLAANzc3XF1dmTFjBl9//TUXLlzAYDAgl8txdHTE29sbmUzGpUuX8PT05JZbbsFkMrFjxw4SEhKwWCzs3buXEydOsHLlSubMmYNKpcLT05NHHnmEwsJCFApFv8ODbTYbc+bMEa/NyMhg06ZNVFVVcenSJTQaTT/NtrW1lXHjxrFkyRKUSiUmkwkHBwf+8Ic/cOjQIWbNmkV0dPSw/apQKPD29u5nJpbL5Tg7O+Pn59evPmHsd+/ezf79+1m5ciVXXHEFjo6OODk5MWPGDF588UU+/fRT0tLSvnVM/1MRTPcuLi60tLSgUCi49dZb8ff3x2Kx0NHRwZ///GdycnK45ZZbUKlU1NbW8v7779Pd3c3DDz9MbGwsSqWScePGcd1113HixAl27NjBhAkTCA8PHyRQhAXa559/jlKp5I477hC9/6+55hqsViu+vr7AN+/gRx99REBAACtXriQwMBC5XM7MmTM5f/48f/rTn9i/fz9paWl4enoOe5/ftRylUomPjw/t7e39ynF3dycoKAgHBwfxO2HrR6PRoNFoKC0tZfLkydx3333IZDI2b97cb3tHQuLfYUShKngCR0ZGolAoxBdtypQp/9ZelpCEoL29nbvuumvEMhQKBUFBQcTExAwSvEePHv3WumQyGbGxscTExIj/HwlB4OXk5GC327niiiv6TfYymQx/f3+cnZ0pKCjg3XffZd68eWi1WtLS0sQXeKRVuUwmQ6VS8fvf/x61Wo1arcZsNmM2m0WNWthDHUh4eDjTp0/H19cXuVzOihUrRKeqvXv34u7uTlJSkii4ZDIZ06ZNY9q0aYOcvRITE0lOThYnoMDAQGJjY0XLwMA2C3UL4+7g4EBsbCxRUVFcuHCBtra2y6o12u12tm3bJnqDC2FQFouFoKAgFAoFJSUlv4jsPMJe+/jx4/H19RXHQKvVYrFYaGpqEvuhtLSUqqoqgoODCQ0NFcddoVAQEhJCWFgYubm54rbAUEK1qKiI8+fPk5mZKe7/wzdCa+nSpeICNz8/n8bGRpYsWSJ6+stkMtRqNVqtFk9PT06fPs2lS5fw8PAY9v4uVzmjISoqihkzZuDj44NCoeC3v/3tz3pfXuLH5VuFqo+PD4sXLwa+Mf/t37+frVu3ctddd406zGIg7e3t7Ny5EwcHB2bMmDGs1iuYbqdNm8bVV189yBEmKytLjFMd6R6+Sxvtdjs6nY7NmzcTHBxMZmbmIGEUFBTE448/zksvvcRLL73E7t27ufrqq1m0aBHBwcHivlbfMge2SaFQEB8fT3t7O4cPH+bs2bOUlZVx+vRpysvLxclyIL6+vuJEKPSPEAtbUFBAaGhov/AiQYAP1S8qlaqfSVxwoqqrqxvyemFPuO8CQ61Wo9FoqKyspLOz87IKOCERidFo5KWXXuK9994TTd0tLS10dnZy+vTpy1bfTxmZTIarqyvu7u79Fpd9LQkCNTU1dHR0MGXKlH4aG4C3tzfBwcGcOXOG7u7uIcfLarVy4cIFmpqaiIyMFLc+ADFcSkBYTMXFxfV7zmQyGX5+foSGhtLS0vKtWwOXq5zREBERgbe3t+jAOLCPJCT+HUblqKRSqYiLi+PWW2+lurqal19+meTkZKZOnfq9zMDnzp2joqKC+fPn4+fn95MKBLfZbJw9e5bz58+zfPlyQkNDB12jVqu57bbbmDhxIp988glffPEFRUVF7Nixg8cee4yJEyeO6GFst9sxm81kZ2fz9NNP4+3tzZIlS8jIyGDSpEm8/PLLw/5WSMc4FDqdTowD/LExGo0/SIKLnp4eAgICWL16NdHR0aIVQDBfCyFVEv+L4Mw11D6hg4MDjo6O4l7kcJhMJsxmsxjWNhzCuA9Vl6OjI46OjvT29n5rmy9XOaNBqVRKe6gSPxijmo2Efb2FCxeSnZ3Nxo0b+d3vfsdXX30lCsXR7lXa7XYOHDhAVVUVc+fOHTJ0Q7j2x0aYqD/++GOcnJyYPXs2jo6Og64RtIb09HTi4+NZtmwZL730Ert27eKf//wnMTEx+Pv7i7+xWCz9zKl2u526ujpWrFiBh4cHr7/+OqGhoaLAcHJyQq/XD9nG4fpZ0DJ7e3tpamrq97e+TkHfF2E8hnNsiY6OFs2Ew43dQEepb/s3gJubGyqVioCAAOLj40UB2tc5RTLb9cfLywsnJyfKy8sHWTu6urpobW0lKCho2MQsMpkMDw8PNBrNoG2IvosZuVwu1lVVVTVoUdXe3k5zczPR0dH9kreM1OZ/txzgWxcMEhI/JN9JRXR2dub3v/89KSkplJeX88c//hGdTjdoUhzugRacfIqLi0lPTyciIuJbE0T8mNjtdpqbm9m2bRvBwcGMGzdu0IrWbrdjMBjo6ekBvslnKmRtyszMpLS0FJ1OB/yv6bmrq4uGhgbx91arlf3799PR0cHVV19NSEiIKLybm5vFnMvDtXEoc7KjoyOJiYm0t7dz4cKFfl6RBoNB3CP+d+h7iIHQFiFkSDCpfZvVQfi74A0qTNI9PT2DNBGZTMb06dPp7e3lxIkTYgIN4TcVFRXU19dLE+gAtFotHh4e1NTUYDAY+o1XR0cHzc3NREZG4uPjM+R4Ceksvby8OHfuXD+Tq9VqpampiQsXLgAQGRmJl5cXtbW1Yry2MD7t7e20trYSGhqKp6fniMLw+5QjvJt9PYvNZnO/mNqhkE7JkfghGfRGCQ9yd3c3VqtV/NjtdlEbWrVqFRqNhm3btrFt2zZ0Op044XZ1dYnmJ6PR2G8Stlgs5OXlUVNTw6xZs4Z90ex2O+3t7eh0OqxW66DJXHAmEl4m4dScf+dFEZIM7Nu3D5PJxPXXXz9IAxdexg8++IAbbriBxsZG0UxmNBqx2+1ERESIe80qlYqoqCg6OjooLCyktraW0tJSzpw5Iy4mDh06RG1tLRcvXqS0tJQjR46IAenCx2KxiNpCb28vHR0d/RyC5HI5arWa2bNn09XVxdatWzl58iT19fVUVVWxefNmnnvuuX4hSkK5Qr8J+ZL1er04dgM1hry8PEpKSsTcyc3NzZw6dYqmpiamTp0q7icLOY+FMoW2yuVyEhIScHJyIisri6qqKhoaGjh9+jQnT54UT0cym83i87Zo0SLkcjmffvopx48fp66ujrq6Ok6ePMlzzz3HsWPHvveY/ycg9KWQ1KO7u1t8H/r2c9+xTEtLIzMzk/b2dr766ivxnWxqauLw4cPU19dz9dVXD5vsQC6Xk5SURHx8PMePH2fHjh1UVlZSX19PcXGxGEIFMHXqVFJSUjh69Cj5+fliEpPz58+TlZWFq6srV111lRgT27fNfU/C+i7lCIvVcePGodPpOHr0KDU1NdTW1nL48GFqamr6PcN93yMhRHC4cCIJiX8XxVNPPfVU3y+EcJJ//vOfHD58GEdHR5KTkwkLCxP36pRKJTt37qS+vp6ioiKCg4Px8fHBZDKxbds29u/fT29vL3FxcWi1WtF7tq2tjU8++YTa2lr+67/+S9RUB9bf09PDgQMH+PLLL2ltbSUyMpKEhATR9NPb20tBQQFbt27lwoUL+Pv7ExsbO+zKezTY7Xa6u7t59tlnMZlMrFmzBnd39yETIJw9e5bPP/+c6upqMTnBV199RVNTE0uXLiUtLU3MryuXy9mzZw8FBQWUlpaSnZ2NXC5n0qRJFBQUiAKlsrKS06dPExERgU6no6qqirS0NKKiosT8yPv37xe9sQMCAkTtVnB8CggIoKmpifz8fPbt20deXh579uyhpKSE1atXExISQlNTEzt37uTIkSNoNBqSk5MJDg7GaDRy+PBh3nzzTWw2GxEREYSFheHq6kpTUxO7du3C0dFRNM/V1NRw4MABTpw4weTJk1m6dKmYYaeyspLNmzdTVlaGp6cnGRkZoseqRqMhPz+f3Nxcjh49SkVFBaWlpaLp+tKlS4SEhIgOMhEREVgsFrKzs9m9ezcFBQVkZWWxa9cuMjMzufXWW1GpVD9bE7DJZOLMmTNs27aN/Px8QkJCSEpKQqPR0NzczPbt2zl69CguLi5kZGTg7++Pk5MTYWFhXLhwgZ07dwLQ0tLC3r17OXjwIPPnz+emm24a1rIgmHUVCgUNDQ3s3LmTU6dOcerUKXbv3o2TkxPLli3Dy8sLNzc33NzcqKysZNeuXajVampra9m+fTv5+fncfvvtXHPNNTg5OWG1WsnLy+ODDz6gu7ubsLAw4uPjcXd3H3U5QlicsE1y+PBhcnJyKCwspLi4mM7OTmJiYigoKMBqtRIXF4e/vz8dHR1s376d/fv3i9sVoaGhkpOSxGVnkFAFqKysJC8vj8TERCIjI3FzcyMyMlLMfVtaWorNZiMuLo6IiAjMZjPh4eHiBODn58eYMWOwWq1ERUWJMW3FxcW8//77pKSkMH/+fNzd3Yd8qdva2sjPz8fZ2VkMU4mKihKzLnV3d5Obm4vRaCQlJQVHR0f8/PyIiYn53pOrzWbjxIkTvPHGGyxcuFA8A3Rg+kO73Y6Li4sYc1deXk5DQwOBgYHcfPPN/OpXv0Kj0YgC1dfXl4CAAFxdXfH29hbjQv39/cnIyMDR0RE3NzfCw8NZsGAB48aNw2Kx4O7ujs1mY8KECbS2tnL48GESEhJE015ERES/c12F8KexY8eKAlepVJKSksKKFSvEY+tqa2spKCggPj6egIAA/P39xTHcuXMnwcHBxMXFoVQqiYiIwM/PT9SCbrzxRnx9fTl79izl5eXYbDauueYalixZQmhoqLhAysnJob6+nuTkZHx8fPD29hZDmtzc3IiLi8Pd3R1XV1fCwsK44YYbSE5Oxmaz4eTkhMViIT09HY1Gg0qlIjU1lbCwMHEP0N/fn8WLF3PttdeKC7afq1A1Go2cPXuWtrY2kpKScHNzIyIiAn9/f6qqqsjLyyMhIUE80i86Ohq1Wo2vr6/4LAghNiqVikWLFrF48WL8/f1HdNaRyWRER0eTkJCAp6en6Fcxe/Zsli1bRnBwsGjJiYqKIiUlBZVKRVlZGbW1tfj4+HDzzTczZ84c3NzcxPf8iy++QKPRiItkrVYrvtffpRz4xhM+NjYWjUaDh4eHGEMt5C0XzmUeP348Fy9e5NSpU0RGRhIUFISHhwfx8fH9PJslJC4HMvuPZAMxm81s2LCBZ599lieffFLUMH4qWK1WHnroIT755BO2bdsmHZ4sISEhIfGd+VFiWaxWKxcvXiQvL0/MLPRTCoOwWq1UVVVx6tQpxowZQ3x8/E8qzEdCQkJC4j+DH0VyCF6/2dnZotfvT8lcZ7PZyMrKoqmpiSVLlnzvpBYSEhISEr9sfhShajAYKCwsxNHRkUmTJv3bacYuNwaDgUOHDuHi4sLs2bMls6+EhISExPfiR9lTtVgsdHd3YzabcXFxGdX5ij8mZrNZDFMRzgWVNFUJCQkJie/KjyJU+2Zh6Zs39qfCwGDwn5LAl5CQkJD4z+FH8/6VkJCQkJD4uSOpZBISEhISEpcJSahKSEhISEhcJiShKiEhISEhcZmQhKqEhISEhMRl4qeT1oj+Z3b+nPO5/hQQPJ6/rzf2UP5tQhkj/U1CQkLi58xPRqj2PQrKZrPh6Oj4k8oN/HPCbreLR6wJh02rVKpRJ72w2WzieAmC2cHBAaVS2e+YLfgmPEmpVP6k0lJKSEhI/FAMaf4Vztw0mUz9zi0d7bV9zz4dLW1tbTz55JNMnDiRzMxMPv/88+9+NxKjQqfTsXHjRmbPns3EiRN55plnaGtrE/9us9nEM2oHjqXNZsNgMPDJJ5+wdOlSrrjiCpYuXUp2djZWq5WGhgbWrl3LnDlzuOKKK1ixYgWNjY3/F7cpISEh8aMzSKjabDa2b99OXFwcPj4++Pn58dhjjw1KkCDQ1tbGmjVr8PX1xdvbm+DgYA4ePNjvEO3R4OXlxQMPPMCUKVOorKykq6vr+9+VxIhoNBpuuukmbr/9dvR6Pc3NzaJmCVBVVcXMmTOZO3cu2dnZ4lgKGu6jjz7Ke++9xyuvvMLq1atpa2ujvb2dyspKbrvtNjo7O9m+fTs33ngjDQ0NdHd3/1/dqoSEhMSPypCa6uzZs3n66acxm80YjUZKSkrEM1T7YrPZaGxs5PPPP8dkMuHj48OLL77IpEmTvvMemkwmw8nJCTc3N9EMLPHDIZPJxHM5h7JEKBSKfufJ2u12rFYre/bs4V//+he33noroaGhjBs3jqlTp6JUKnnjjTe4cOEC9957L2q1Wjy3UzLjS0hI/FIYtNElHK7t5uYmHohcXV1NYWEhkZGR4r6b3W7HZDKRm5tLV1cXQUFBREREEBcXh5OT0/dyTJGck348ZDLZsPvWbm5uLF68GIVCgb+/vzgmVquVQ4cOoVQqiY2NRSaTkZiYyNNPP01NTQ1r164lLi4OtVqNQqEgLi6ODz/8UBpTCQmJXwxDeo8Iws3Dw4Pp06ezfv16jh07xowZM1Cr1cA3WqpOp+PAgQOMHTuW9vZ28XcDJ1HB+Uj4CIJb+Ah1joSQP1j42O125HI5CoUCuVyOTCYTr7FYLKIDTl+BAPS7fmDZVqsVu92OQqHoV57NZkOpVParR9DuZDIZCoVikJPPwPaKHa5UDrpWqFu4L6EPh7o34Vqh/X2vGakP+95f33L6tk34m4uLC7fffjsqlQoHBwfxb2azmbNnz4qOSEajUXRwamlpoaurCxcXF9EJym63i9quoOkK4zDc/fUdA7lc3m+8Be1ZaM/APuv7TAnbFcI49e0joR6hjoHPw1D9JfxWuB+hzX3bAYjPpLRAlJD4ZfKtLpmenp6kpKRQUlJCTU0N/v7+wDeTTmlpKcXFxdxyyy18/PHHosDti91up7Ozk9OnT1NZWUlnZyfu7u5ERkaSmpqKh4fHqASq1WqlsrKS8vJy6uvr0el0eHh4MGHCBKKiolCpVFitVk6fPs2JEyew2WxkZmaSnJxMeXk5p06dwmg0MmXKFFJTU/sJNpvNxrlz5zh27Bg6nY6YmBiuvPJKzp8/T15eHt3d3cTGxjJhwgRcXV2pra3l+PHjtLa24u3tzYQJE4iMjOzXZoPBQFVVFeXl5dTV1WE2m/Hy8mLSpElERESI9dtsNi5dukReXp54XyqVCh8fHyZMmIBWq0Umk2E2m6msrKSoqIiLFy9is9lwdnbG19eXOXPmDNn3ffuvq6uL3Nxcqqur6erqwtnZmZ6eHnp7e/td19jYyL59++jo6CAqKopp06ah0Wjo7e3l+PHjFBcXo9fr+eyzz8jNzSU6OpqUlBSysrJoaGjA2dmZ9evXo9FoSE5OZvr06QD09PRw5swZioqK0Ol0uLu7k5aWRnx8PGq1GpvNRklJCdnZ2fT29pKRkcG4ceOorq7m2LFjdHZ2kpKSwsyZMwEwmUycO3eOwsJC2tracHR0JDk5mcTERLy8vLDb7TQ0NPD111/T2tqKs7MzN998M83NzeTm5lJTU0NQUBBXXHEFgYGBgxY6bW1tFBQUUFlZiU6nQyaTERoaytixYwkNDUUmk2GxWGhsbKSgoIDa2lqsViuRkZFkZGQQGBg44jMtISHx82REoWq32/H29mb8+PGsW7eOc+fOMWbMGJRKJXa7nS1bthAVFUVycvKQJ7tYrVZaWlp45513KC4uJi4uDnd3d/Ly8vjiiy8YO3Ysd911Fz4+PsOeDGO322ltbWXdunWUl5cTHx+PRqPh/PnznDx5kl27dvHXv/6130SXl5fH1q1bWblyJY2NjWzcuJGsrCxMJhPPPvssKSkp/WI0hbrPnj3Lhx9+yPTp01EqlezZs4f6+noKCgpwdXXl/vvvJyIigqysLOrq6sjNzaW5uZlbbrmFe++9Fx8fH2QyGRUVFWzcuJGKigomTZqE1WqlsLCQgoICiouLueeeewgJCQGgtraWv//977S2thIfH49CoeDYsWOcP3+eJ598kqCgIACys7NZt24dGo2GqKgoOjs7+eqrr2hvb2fy5Mk4ODgMGRJjs9loaGjgzTffpLCwkAkTJuDi4kJ1dTUFBQXU19eTmpoKIGp7TU1NvPzyy/zqV79izJgxaDQaTCYTjY2NeHh40N3dTXNzM0qlEg8PDzo7O9Hr9SgUCsxmM3V1dbi4uIhtv3TpElu2bKG4uJiAgADc3d0pKCjgs88+Y9GiRSxfvlysOz8/n23btnHzzTejUCh4/fXXOXz4MG1tbfzmN79h5syZ9PT0sH37dnbt2kVYWBienp5UVVWxb98+pkyZwk033YSPjw8Ara2tPPfcc6hUKtLS0tixYweXLl3i1KlT6HQ6FixYwIMPPiguFs1mM2VlZWzatImGhgZxsbR9+3b0ej2PPfYYQUFBWCwWCgoK+PDDD1EoFISGhtLb28uGDRv46quvWL16NTExMdKJRxISvzBGfOOFvdWkpCRUKhX5+fm0tbVhs9lobW1l7969XHPNNbi4uAwrVD/66CM2btxIfHw8d955Jw888AD33HMPbm5ubNiwgZ07d44YgmO326muruall16ipqaGJUuWcMcdd/D73/+e6Ohotm/fTmFhIVarFblcTmpqKnPmzMFisXDs2DGys7O58soruemmm0TT38C6ZDIZcXF1w2MXAAAgAElEQVRxzJs3D4CysjJOnTrFrFmzuP/++7nuuuu4ePEiL7/8Mlu2bCE9PZ277rqLBx54AIBdu3ZRVFQkmipzcnJ45513kMvlLFy4kLvvvpv77rsPrVbLp59+SkVFhXjt3r172bZtGykpKdx5552sXr2a1atX4+7ujl6vx2azodfref/99ykoKGDevHnce++9rFq1ittvvx2dTvetIU9vvvkm77zzDlOnTuXOO+/kvvvu47e//a0oTPv2Q1BQEAsXLsTb27tfuS4uLlx11VXExMTg6OjILbfcwqOPPsq1115LdHQ0M2bMICAgAK1Wy6pVq3jooYeYPXs2JpOJ/fv388Ybb6DValm5ciX33nsvK1eupKysjLfffpuysjJkMhlJSUnMmDEDFxcXysvLeeedd8jIyOCOO+7Aw8NDNB2fOHGCf/zjHzg5OXHbbbdx7733smLFClxdXVm/fj2HDx/GZrMRFBTE0qVLUSgU9PT0sG3bNlJTU/nNb37D6tWrRa26qalJ7IOOjg4++ugj9u3bx/jx47n77rtZvXo19957LxcvXqS1tVUMHdqwYQNnzpxh7ty53HPPPdx///1MnjyZTZs28c4770jOdhISv0C+dRktl8uJjY0lNTWVEydOUFVVhdFo5NChQ9hsNq666qohf2ez2bh48SKvvfYaANdddx0BAQEolUoiIyNZtGgRNpuNV199VZwsh0Imk+Hq6ipqg1qtFpVKRVBQEElJSTg7O9Pe3i6WIZfLUavVogCdOnUqy5cv59FHH2Xr1q0sWrRI3PMaiHB4emtrK3PmzGHatGmkp6czc+ZMQkNDuXDhApMmTWLatGkkJiYyefJkMjMz6e7upqmpSdy7Cw4O5uabb2blypX4+vqiUqmIjo4mISGBjo4OdDqduB/X2NiIyWQCwMnJCaVSSUZGBq+88oqoMdtsNmpra0XnIoVCgZubG/PmzWPDhg14enoOu6gpKytj586duLi4cOutt+Lj44NCocDPz4+xY8eKGtrAMR9oTlapVHh6eop95O7ujo+PD+7u7mg0Gtzc3MQ9WG9vb3x8fNBoNDQ2NrJ//340Gg0TJ04U6w8LC2PWrFk0NjZy+PBhcfwEjfvMmTNce+213HHHHdx3331s3ryZVatWYTAY2LFjB4WFhcybN4+QkBAUCgVBQUFcddVVNDQ0kJ2dTWdnp9inwl5oQkICc+bMYcyYMSxYsIDExETa29spKyvDbDZjtVq5cOEC77//PiEhIcydOxcPDw+cnJxYsGABW7ZsYeHChdhsNk6fPs2OHTtISkoiPT0dR0dHXF1dufHGGzGZTBw6dIiLFy9+53htCQmJ/2xGleYmKiqK8ePH8/bbb1NSUkJkZCQfffQRixcvxtPTk7q6un7XCwKjvLycxsZGEhISiI6OFs2TKpWKqKgoHBwcKC0t5fz588THxw9bf3h4OI899hiOjo79JilBwFRUVGCxWPp5sgraZ1pamujJLJgjR0ImkzF27FhiY2NFM3doaCg+Pj6EhISQnJyMo6OjKOxTUlIoKioSnVoAMjMzSUxMRKPRiMJdoVCITj+VlZXo9XqcnZ1JSkqit7eXjz/+GI1Gw6JFi/Dx8SExMVF0uFEqlSQmJpKdnc2rr74KQEZGBq6urmRkZAxrYhQm/7a2NlJSUvDw8BDHQBCs7u7uI/ZF338P9xnu70LIleA5HhAQ0G/8tFotVquVS5cu9dPqZDIZaWlpTJo0CTc3NxQKBT4+PthsNqqrq6msrMTLywutVis6M8nlcjw9PXFwcKCjowO9Xt+vPEdHR2bNmiUuChwcHFCr1djtdnp6ekTHpKKiIlpbWwkICBAFNoC7uzuTJ08GoL29neLiYux2O9HR0Wg0GrH97u7uuLq6otfr6ezsJCgoSHJYkpD4BTEqoero6Cg6X2RlZeHg4MDp06dZu3Ztv1jGvthsNs6ePYtKpWLs2LH9rpPJZCQkJODk5ITNZqOjo2PY5BKCl6harebcuXMcOnSIvLw8ysrKqKioQK/XYzQahzTp+vv74+np+Z07xcnJSZxMBS1HEIoD70OlUg26f5VKhUajobCwkAMHDpCTk0NZWRl1dXXY7XaxvQqFgtmzZ/PHP/6RF198kSeeeIK33nqLFStWsGTJEnx9fVEoFGg0GlavXk1LSwtffvklhw4dYvLkyaK5URDeQ3mwlpWVYTQaSUtLG3SfgvfrD4XdbheTQpSWlpKVldXPe9xkMmG32zl79uygtkdERODg4DDIS/vixYu0tbVRX18vCkmhPIvFgtVqpbW1lfb2doKDg4H/XRx8mzOXxWKhoqICd3d3wsPDh03baDAYqKyspK2tjaeffprnn39e9EoW7stms3H+/HkSEhK+Z+9JSEj8JzIqoapQKEhMTESr1bJv3z56enq44oorCA8PH3EVLmgrgimuL301k5EmdmFP8fnnn2fz5s0sWbKEe+65h4iICDZs2MArr7wybN1DhUp8GwO1LUFYD1XOUIJM8Dp9+umnOXLkCLfffjtPPPEE/v7+vP7667z++uv9fq/RaLj77ru58sorWbduHTt37mTNmjXs2bOHtWvXEhkZiVwuJygoiFdeeYUlS5bw5ptvkpuby0033cQjjzzCAw88IArWgfQN+xjqbz80Qh2LFy/miSeeEB20hL8JuYH7PgN9w2MGliWUl5iYyPr164mMjBykUQu5jPvyXZ4DIYzm2+7J39+fRx55hOuvv16sT/ibUqkULRMSEhK/HEalpsjlcjFUQK/Xs3fvXq699tpvFaiCea+8vFyMW4T/dT4yGo04ODgQFRU1pAAUtIfNmzfz1ltvccstt/DUU08xceJE/P39RfPoTwm73c6rr77K1q1bee6553j44YcZM2YM7u7ugwSFIADUajVjxowRHaGuvPJKvv76a3bu3NlPq3V3d2fevHls3ryZF154Aa1Wy9q1azl//vyQQkCINZbL5Rw5cmRQOw0Gg7if+0MgZMny8PBAp9OJYUB9P4IVYDTJ/GUyGS4uLqjVajo6OoYsT9iTHe3hAH0R9ma7urqorq7u56glJDuxWCwolUo8PT0xGo3odDocHBzE+jUajbiP+0NbAiQkJH56DPvGD2VOnTBhAmFhYWL8Yt8Jo+/1grBISEjAx8cHo9FIWVmZqC1ZLBZKS0sxm8386le/GnFfz263c/DgQex2O3FxcaIW0dHRQVVVVb+9s4G/E8yB3wVh8uyrFQ38d99rB35vt9v5+uuvMRgMxMXFiXt1Fy9epLa2tl9dNpuN7OxsKisrgW8m9dTUVHFftaWlRUyy8fXXX4sJNlxcXFi4cCHjx49HpVL1817ti1wuJzk5GWdnZ0pKSsSFjNlspru7m7y8vEFt6ouQrEG4z4Gfgf028G9yuZyAgACSk5MpKSmhpKQEo9Eoej63t7dz8ODBQQn3hbEbuFAQYkVDQkJoamri+PHjGAwGsbyenh5yc3MpKSkZVJ5w8MNwCGb+mJgYHBwcqKqqoqysTBSkvb297Nmzh+rqapydnUlOTsZoNJKTk0NDQ0O/hBqVlZXs3r172LokJCR+vgxr/hUEUl+hNWbMGJYvX46Xlxeurq6ik4jFYsFgMKBWq/sd+aXValm2bBkbN25k06ZN/Pa3vyU4OJjS0lI++eQTvLy8ePDBB/slQhB+31cghoWFYTQa+fLLLwkMDBSdoNra2lCr1f20YKvVKnrXtre3093djUajGVVn6PV67HY7NTU1GI1G0ZHFYDBgNBrFeEwhxtVqtYrfCXXCNw44JSUlfPDBB8yfP1+MUxXaK2hAFouFv/zlL/j7+/P4448TGhpKT08PjY2N2Gw2MRVge3s7d999N6tWreKGG27Aw8ODS5cu0d3dja+vL6GhoUPej0KhID09nTFjxrBjxw6ef/55li1bhqOjIxcuXKCqqgqVSkVXV1e/hPpCH/b09NDR0YFWqwW+SbjQ0tKC1WodJMh7enowGo10d3ej1+tFp6jg4GCmTZvGyZMnxZSFWq0WnU7HsWPHqK6uRqvVin0qnHRUU1PTz/lLeKY8PT2ZNm0ax44dY/369Tg4OJCeno7JZBLjgOfOnUtycjIKhULUkIV4XQ8Pj0HPl3DvSqWS+Ph4Jk+ezOnTp3n77bdZsGABLi4uFBYW8sUXX/DMM88QGhpKRkYGmZmZHDlyhPXr1zN37lw0Gg01NTXs2rWLwMBAfv3rX0tOShISvzAUTz311FN9v7Db7Zw7d44PPvhATKIfEhJCSEgIarWazMxMUlJSxD2kmpoaPvjgA06dOoXBYMDV1VVM0CCTyYiMjMRoNHLmzBlKS0vJy8sT4whvvfVWZs6ciUqlwmg0cuzYMbZt20ZjYyMuLi5ERUWJJ99UVFRw6tQpzp8/T0tLC35+foSFhVFWVkZHRwehoaFERkZSXl7O+vXrqaiowGq1EhAQQFhY2JAORX3vuaamhk2bNlFQUEBPTw9+fn7ExcWJiQb27dtHc3MzarWa5ORkHBwcOHDgABs3bqSxsRG73U5UVBR+fn54eXnR0NDAwYMHqa6upru7Gz8/P4KDgzl37hx6vZ7IyEiCg4MpLCwkPz+f8+fPc/r0aY4cOUJpaSnp6elcf/31eHp6YrVa2bdvHxUVFWIM7dGjR+np6WHx4sVMnTp1kFMPfKN9OTg4EBISQltbG9nZ2ZSUlFBfX4+bmxuRkZFcuHCB6upqHB0dSU9Px2Kx8O6775KVlSWOZ0xMDDKZjE8//ZQvvvgCg8GA2WwmJiYGPz8/6uvr2bRpE8ePH6e5uRknJyfi4+NxcXHB0dGRwMBAnJycKC4u5sSJE+Tk5FBcXIzNZuOmm24iPT0dmUzG+fPn2bx5s7gA0Wg0ZGZmDjKhBgcHo9FouHjxIrt37+bMmTPk5+fT3t7O9OnTueqqq3B0dKSzs5NPPvmEr7/+GqvVilqtFhNsHDlyhC+++IKmpiYcHR2Jjo4mICAAtVpNaGgo7e3tnDp1ilOnTlFcXExtbS2LFy9m5syZYvx2UFAQbW1tnDp1itzcXPLz8ykrKyM2NpY777wTFxcXSahKSPzCkNkH2PGEsIVjx46J2mdqaiopKSmDfiyETGRlZYmaWkBAABMnTsTLy0vUZJubmykqKqKhoQGTyYS3tzfR0dHExMSIHpl6vZ4zZ85w9uxZjEYjLi4upKeniyn9CgsLOXv2LDabjfDwcJKTk+ns7CQ3N5fu7m7i4+MZO3Ys9fX1ZGVlYTabkcvlxMfHk5qairOz87ATnJAq8MSJE7S1tYlJEH71q19hMpnIy8ujpqYGm82Gm5sbU6dOxd3dncLCQjG0wsHBgbFjxxITE4PFYuH06dOUlJSgUqmIjY0lKiqK9vZ28vLyMBgMZGRkEBsbS3l5OVVVVbS0tGCxWHBwcCAwMJCEhAT8/f1RKBSYTCZycnJobm6mtbUVu92Om5sbWq2W+Ph43N3dR5y8rVYrpaWllJSUoNPpCAgIIDU1FblczsmTJ2lqasLHx0eMOd65cyednZ3IZDICAwPJzMzE2dmZw4cPi6ZOQeBFRETQ2trKyZMnuXTpEjKZDDc3N2bMmIGXl5forNbW1saZM2fEvUovLy/S0tIICwsTn5P6+npycnJobW1FJpPh4+PDvHnzBh1wbrfb6e7upqysjLKyMgwGAy4uLsTHxxMdHY2zs7N4zdGjR8VFj7e3N5MnT8bJyYnS0lJKS0tFi4QwdnK5HLPZTFVVFUVFRXR2duLk5ERMTAxpaWn9vL/1ej01NTWcO3eO1tZWVCoVYWFhpKWl4erqKglUCYlfIIOE6sDE5sL+6MCJTaDvvhsMnVC8b3mCx+fAROZDJcvv69gzVNLyvvUK7RQ8XYXvBaeVkSa44RKjC3GqQ7W9b2J2AcGLVejDvmX1vU/B8WhgonyBgX04sG/63u9QXrJD3V/ftvb1jBbuuW8fCXUJ9Qt19N3nFPYg+z4HA8dHaFdf03zfJB1973GkMRjOq3lgQv2BhyUM3JsV6ux7j32f8YFj0vcdGOkghr79NdoxkZCQ+HkySKhKSEhISEhIfD+k5bSEhISEhMRlQhKqEhISEhISlwlJqEpISEhISFwmJKEqISEhISFxmZCEqoSEhISExGVCEqoSEhISEhKXCUmoSkhISEhIXCYkoSohISEhIXGZkISqhISEhITEZUISqhISEhISEpcJSahKSEhISEhcJiShKiEhISEhcZkY9pDynzPCAeZnzpwRj4jre0qL3W7H09MTX19fvL29hz2hZzT12Gw2jEYjLS0t6HQ6goKCcHNzG/F3wqkn3d3dNDc309nZiYODAwkJCTg4OHyvtlwurFYrRUVF6PV6oqKi8PHxkU5kkZCQkPgffpFCVTgzds2aNZw4cYKAgADS09NxdXUFoKGhAQcHB8aNG8fNN99MTEzM96rHbrfT2NjIsWPH2LNnDyaTidWrV5ORkTHi7wwGAyUlJRw5coSLFy/S3t5OaGgoWq12xMPWfwwsFgt/+MMfKC8v5/nnn2fhwoWSUJWQkJD4H/6jhardbqelpYXt27cTExPDpEmTxPMyR0Imk5GYmMgdd9zB2bNnmTBhAk8++SRarRaAs2fP8s477/DWW2+hUCh45JFHcHR0HLUws9lsdHZ2cvLkSQ4dOkRubi55eXmMHTuWkU7as1qt9PT0sGfPHrZu3UpwcDCzZs0iLi4Of3///3OBCt+cSRoUFITRaESj0YjtsVgsZGdnU1RUxLJly9BoNJKwlZCQ+MUxqllPOEB6tAjXf9ejWgf+Zqgy+n5ns9mora1l7dq17N27F4vFMqp65XI5jo6OyOVyDAYDWq0WX19fnJyccHZ2Jj09neuuu47m5mYKCwvp6OgY9b0IJt9Dhw6JWvCcOXPw9vbud8j4UPT09LB9+3befPNNQkNDuf/++7nqqqvQarVie0dT/3Dfj/S30ZYjl8u5/fbb+f3vf09ycnI/obp9+3b+8pe/0NXV1e+g+OHaIh3lKyEh8XNjWE1VEA5ms1n8t1KpRKFQ9Nt/HIjZbBZ/I5PJxOsVCgU2mw2r1Qog/g2+0dCEj7C/KewrymQy5HI5SqUSm82GxWIBQKFQYDabOXPmDN3d3VgsFgwGg1iGUqkcdi/Ubrej1+upra2lu7ub4OBg3N3d+92Tk5NTv9+MVkMU2puYmEhSUhL+/v4UFRXxySefDPsbQcAUFBTwj3/8g/DwcG699VYCAgJGVa/we4vFgsViEe9fLpcjk8kwm81ivymVSlQqlTimFosFm80masFCv9tsNhQKRT/t2Gq1YrFYSE1NRS6Xo1argW8WN+3t7ZSWltLd3Y3JZEKv16NSqfqNv8ViEce57/PRt60SEhIS/8kMKXWECfrcuXN8+umn5OfnY7VaSUlJ4dprryU1NXVYc+gXX3zBxo0baW9vRyaT4enpycaNG4FvNLENGzZw4MABHn/8cTIyMpDL5eTl5bFmzRpMJhNKpZJbbrkFu93OZ599hk6n46abbuLGG2/k4MGDbNiwgc7OThYsWIC/vz/r1q2jra2NjRs3cuzYMVQqFSEhIdx9991MmDBhyJu22+10dXXR0NBAYGAgoaGhqFQq4BsBYTKZKC4uxtnZGa1Wi5eX13fqVLlcTlxcHPDNIkMQGsNht9tpbW1l165dlJWVcdtttxEdHY1cLsdmswHfCOuRhI7JZOLNN9/kyy+/xM/PjzvuuIMZM2YA8Prrr7N7925sNhtz5szhwQcfxG63s2fPHtavX09bWxtLlixh+fLlZGVl8dFHH9He3s7EiRO5+eabiYiIQC6XU1dXx3PPPUd5eTlBQUE8/fTThIWFUVtbyzvvvENOTg5ms5lly5ahVqtRqVRkZmayZs0ajEYjOTk57N69m8LCQoxGI3K5nClTprBgwQJSU1MloSohIfEfz5AzvdVq5eTJk9x11120tbXx5z//maeeeoqGhgbuvPNOTpw4IZpaBzJz5kyio6MpKSmhq6uLF198UdRs6+vrycrK4vDhw+Tn56PX68X9zeuvv57i4mIiIyOZPn068+bNY/LkyZSVlVFVVcXnn3/OqlWr2L9/Pzk5OTQ2NhIcHMyUKVNwdXVlwoQJ3Hfffdx///0sW7aM0NDQYW/aZrPR2trKhQsX0Gq1+Pn5id9bLBZqamp47733SExM5Nprr/3B9zIFx6mjR4+Snp5Oamoqdrsdg8GATqfDYDCI2v9QyGQyHBwcmDVrFg4ODpw+fZrm5mZR0//1r3+Nv78/OTk5VFZWYrfbkcvlXHnllUybNo3q6moqKyv529/+xr/+9S/CwsLo6OjgzTff5I033uDSpUvIZDKCgoJ44oknqK+vp7CwEJ1OB4BarebKK68kJCQEhULBihUruP/++7nvvvv49a9/jdVq5bPPPuPRRx/FZrPx3HPP8cILLxAXF8dnn31GdXW1uHiQkJCQ+E9mkFAVtNS7774bvV7PI488QlJSEmPHjmX+/PkYjUY2bNiATqcbcpJ3dXVl7ty5uLq6IpPJ8Pf3RyaTYbfbaWhooL6+HrvdTlFREb29vcA3k3JQUBDh4eEsW7aMkJAQ3NzciIiIQKlUcuzYMT744AO++OIL3nvvPbRaLRqNhtTUVFJTU3FyciImJoZrrrmGa665hmnTphEYGDjsTQua4YULFwgICMDd3R2z2Uxrayv79+/n+uuvRy6X8+KLLzJu3LgfXIMym82Ul5dTVFREWFgYly5d4rHHHiMtLY3o6GhmzpzJxx9/jNlsHlb4yOVyPD09CQwMxGq19tu/DQkJISMjQzS/CqZXFxcXtFotarWaTZs2odVqefXVV3n88cd55pln8PT0pLi4mMbGRgAcHBzw9fVFq9X22zP19/dn8uTJ+Pr6olAomDVrljgW48aNo7m5maysLACuvvpqoqOjSUxM5E9/+hNpaWnS3ur/YLfbRRO7sI0yms9I+9cSEhI/Lv3Mv8JLvW/fPurq6li0aBFBQUEolUpRo/Tz8+PAgQPo9fohPTwVCgVjxozB3d2dM2fOcPHiRUJDQzEajZSWlhIbG4ubmxtHjx6lq6sLPz8/TCYTJSUlhIWFkZiYKJo6BWFcWVnJ0aNH8fHxIS4ujnnz5iGTycT9U+FauVwutmckQWg2m6murqa2tpbm5mZuuOEGVCoVJpOJrq4uoqKieOONN4iLixuVN/G/i8FgoLq6GovFwp49e3B3d2f58uX85S9/4cKFC/zud79jzZo1tLa2snLlSpydnUcsb+C9C30zXJ/IZDKio6NZuHChGAcbEhJCWloaOTk5XLx4cciyhX8P7P++n77fNzU1UV5eTkJCAl5eXnh6erJu3bpvNW3/UrBarTQ1NaHT6UTfg9Hg5ORESEiI1IcSEj8BBu2pWq1WsrOzAfDw8CA3N1cULHV1dZjNZnQ6Hb29vfj4+AwqUCaT4erqyvjx46moqODAgQPcfPPNXLp0iba2NmbNmkVBQQHr1q2jqamJ8PBwOjs7yc/PZ+HChWKsaN/yZs2ahZeXl7jvKSBoXMJ1o52c9Xo9lZWVODs78+CDD3LnnXeiUChobm7m888/58UXX+S5557j5Zdf/s77qd8Hs9lMc3MzANOnT+eee+5Bq9Uik8mIiYnhz3/+M/Pnz2fbtm3MmTOH5OTky96GiRMn4uDggEKhwG63iyb7oTyWhxOsA68RvvP09GTMmDFkZWWxdu1aamtrmTt3LuHh4WJyDUkgfPM8P/zwwxw4cOA7CdWkpCQOHjz4A7ZMQkJitAwSqjabjfPnz2O1Wjl+/DhNTU2i9me324mMjCQ2NpbOzs4RNZ/58+fz2WefsWvXLpYsWUJVVRVdXV1irKafnx/Hjx8nJSWF/Px8ampquPLKKwd57MrlctGEfLno7e2lqKiIwMBA4uPjcXZ2RqlUotFouOeee9i/fz9Hjx5l165d3HjjjT94vKXNZkOv1yOXywkLCyMgIEBcyMjlcrRaLdHR0bS3t1NVVfWDCNUfUlt0cnLixhtvRKFQsHXrVt5++23WrVvH0qVLWbhwIePHj/8/zxT1UyEjIwOVSiV6a4+GsLCwH7BFEhIS34VBQlUmk+Ho6IhSqWTp0qWsWLFikAm0r2lvKGQyGWPGjCEwMJD8/HzOnz/PuXPnkMlkaLVajEajKFSXL1/Orl27GD9+PEFBQaPSgvoihJMYjcZR3bDdbqe3t5fTp08TERFBWFgYCoWin9nYx8cHg8FATU3Nj7JXpVKp8PPzG1J4C8LO2dmZjo6OH6T+0fTzaBHGom+/yeVyPDw8WL58OVdccQV79uzhxIkTbNiwgfz8fP7617+Slpb2o5jaf8rI5XJWrVolhjSNlpFC3CQkJH5cBs3igsnRZrNRUVEhJkQQPk5OTvT29vYTREOV4eXlxfTp0+ns7GTv3r1cuHCBjIwMNBoNWq2W4OBgUeAeOnSIq6+++nvHKtrt9lELQJvNRkNDA3V1dfj5+REeHt5PE9fr9RQUFIihOT8GarWa8PBwZDIZer0ek8k06BqDwYBKpRoUPzuQ4fpvpEXH9104DJeco66ubsjrHR0dSUpKYtWqVTz77LPMmTOH0tJSvv766+9k7vy5olAocHBwQK1W93vnvu3zXbJ9SUhI/LAMkopKpZJp06Zht9s5duwYubm56PV6zGYzHR0d7Nixg48++miQNjJUOXPnzsVkMvHVV19RUVHBmDFjANBoNIwbNw6z2cxbb71FQECA+Le+CAkKhvM0lsvluLm5IZfLKSkpoaOjA4PBQEdHh7hHObA8k8lEeXk5Dg4OhIaGinu4VqsVg8HAli1bqKurIzw8fNRpD0dCuIe+HrkD78XR0ZGEhARiYmKoqKigvr5e1FasVitnz56lurqa4OBgoqKihq1LpVLh4+NDd3c3dXV19Pb2YjKZqKur4/jx4yNmdNLr9YO0o5EyIgkHBQjXCNoowJkzZzCZTAZ2YukAAATASURBVPT29tLQ0EBFRQVvv/02OTk5oqdqaGgo06ZN+1YnKgkJCYn/JPqZf4UJLjk5mZUrV/Luu+/yxBNPMHv2bIKDgyksLKSsrIz/+q//GlHYCJlyMjMz8fb25ty5cyQkJIian0KhYOzYsTg7O7Njxw6eeeYZMQRHwG6309HRgdVqpbCwUPxuoHk4ISEBb29vysrK+POf/0xmZibnz59n3LhxLFy4sF+7BNPkoUOH8PDwIDw8XBRy1dXVfPnll7z77rsEBwfz0EMPiabh74NQrk6nIy8vj9raWpydnTl79izJycmidiH0eWxsLEuXLuWdd95h06ZN3HPPPXh7e5Ofn8+aNWvw8vLi/vvvJyAgYNg6nZ2dSUpKwmq1snnzZux2O97e3hQWFjJx4kR2795Na2trP8He09Mjel/3jYW1Wq1iJqa+39vtdpqbmzEajVRVVZGWlgZ8I1QnT57MwYMHee2111Aqlej1eurr65k6dSo7duwgNzeXVatWER0dTU1NDTt37sTd3Z3MzExJqEpISPwsUDz11FNP9f1CJpOhVCpJTU3Fz8+PiooK9uzZQ2FhIb6+vtx2221MmTIFtVo9ogOPUE5VVRWNjY3cddddJCUlifs/fn5+/Otf/8JgMPDaa6/h7Ozcr7xdu3bxj3/8g4aGBlpaWqiurubqq68e5FDj7OyMr68vxcXF5Ofn09nZydSpU5k9e7aYRk/AZrPxyCOPsHfvXnQ6HQUFBXz88ce899577Nmzh97eXhYsWMCTTz5JWlra9zarCXG41157LevXr+fQoUP09PRgMBjIzc1l06ZNvP/++1x33XViHY6OjkRFRREaGkp2djZvv/027777LidOnCA+Pp7HH3+c8ePHj9gmhUKBv78/arWanJwcioqK8Pb25oYbbiAgIIAtW7bQ1tZGc3MziYmJlJWV8cYbb1BWVkZraysNDQ1cc801tLW18dprr7F79266u7upr68nLS0Nb29v7rzzTgoKCjCZTDQ2NhIdHS16KgcFBaHT6Th+/DgFBQUEBQVx3XXXERoaSktLCwUFBXz66aesX7+eHTt2EBgYyOrVq5k0aRIODg6SYJWQkPiPR2YfxsYnpOszGo2iJ6Kjo6PoxDSaCVAw3dpsNtRqdb90fTabjZ6eHmw2G66uroM0QoPBIJokhYxBarV6kFOGYNIV2qlQKHBy+v/t3cGOgyAUheEDAmJ8/0d1YYxhFs011MG2M7Lo4v82TZpSlDY50avXqdkacN93LcvS7E7kvVeMUTFGpZRuXfFbStG2bVqW5bJWGEI4rjqu18ROQ1td1Zr/2+0u79bdTstat6oQgsZxlPQ4KpUeTRxijPLeHzVc55xijJrn+TjCrvsC55zlnNO6rsf6DcOgnPNTD2D7vlKKUkqapun4jezI1zo6pZT+9H8CgG93GaqSftUA60YLn6jHtsZZ4LRqavXc9T2orbnPtcKrBhBWC3zV7s9Ox97137nO497te0v9MAJJT6Ft32mv57nOn63Xv97G+v16H1rbXo+5s18A8O1ehioAAPgcT5EGAKATQhUAgE4IVQAAOiFUAQDohFAFAKATQhUAgE4IVQAAOiFUAQDohFAFAKATQhUAgE5+AFyjBd0S2YKOAAAAAElFTkSuQmCC)
A and Bare respectively
chemistry-General
chemistry-
Product (C) is:
Product (C) is:
chemistry-General
physics-
A beam of light AO is incident on a glass slab (m = 1.5(D) in the direction shown The reflected ray OB is passed through a Nicol prism On viewing through a Nicol prism, we find on rotating the prism that
![](data:image/png;base64,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)
A beam of light AO is incident on a glass slab (m = 1.5(D) in the direction shown The reflected ray OB is passed through a Nicol prism On viewing through a Nicol prism, we find on rotating the prism that
![](data:image/png;base64,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)
physics-General
chemistry-
Consider the following reaction and identify (b) ![](data:image/png;base64,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)
Consider the following reaction and identify (b) ![](data:image/png;base64,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)
chemistry-General
chemistry-
Give the decreasing order of the reaction rates of the following benzyl with HBr
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)
Give the decreasing order of the reaction rates of the following benzyl with HBr
![](data:image/png;base64,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)
chemistry-General
chemistry-
The product (x) and (y) are:
The product (x) and (y) are:
chemistry-General
physics-
Coherent light is incident on two fine parallel slits
and
as shown in fig If a dark fringe occurs at P, which of the following gives possible phase differences for the light waves arriving at P from
and
?
![](data:image/png;base64,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)
Coherent light is incident on two fine parallel slits
and
as shown in fig If a dark fringe occurs at P, which of the following gives possible phase differences for the light waves arriving at P from
and
?
![](data:image/png;base64,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)
physics-General
chemistry-
There are two paths (I and II) for the preparation of phenyl-2,4-dinitro phenyl ether
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)
Which of the following statements is true?
Path I is feasible, whereas path II is not
Path II is feasible, whereas path I is not
iii. The Cl of (a) undergoes SN reaction because it is activated by the two EWG
groups
iv. The nitration of (c) does not give (b) but it gives because the first nitro group is deactivating, so the second nitro group enters the other ring
There are two paths (I and II) for the preparation of phenyl-2,4-dinitro phenyl ether
![](data:image/png;base64,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)
Which of the following statements is true?
Path I is feasible, whereas path II is not
Path II is feasible, whereas path I is not
iii. The Cl of (a) undergoes SN reaction because it is activated by the two EWG
groups
iv. The nitration of (c) does not give (b) but it gives because the first nitro group is deactivating, so the second nitro group enters the other ring
chemistry-General
physics-
In the set up shown, the two slits
are not equidistant from the slit S.
![](data:image/png;base64,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)
The central fringe at O is then
In the set up shown, the two slits
are not equidistant from the slit S.
![](data:image/png;base64,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)
The central fringe at O is then
physics-General