Question
An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces
![](data:image/png;base64,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)
- Are parallel to each other
- Are diverging
- Make an angle
with each other
- Make an angle
with each other
The correct answer is: Make an angle
with each other
Related Questions to study
If the interatomic spacing in a steel wire is
the force constant =…..
If the interatomic spacing in a steel wire is
the force constant =…..
In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is ![](data:image/png;base64,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)
In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is ![](data:image/png;base64,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)
Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams
Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams
Shown in the figure here is a convergent lens placed inside a cell filled with a liquid. The lens has focal length + 20 cm when in air and its material has refractive index 1.50. If the liquid has refractive index 1.60, the focal length of the system is
![](data:image/png;base64,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)
Shown in the figure here is a convergent lens placed inside a cell filled with a liquid. The lens has focal length + 20 cm when in air and its material has refractive index 1.50. If the liquid has refractive index 1.60, the focal length of the system is
![](data:image/png;base64,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)
A glass prism
= 1.5) is dipped in water
= 4/3) as shown in figure. A light ray is incident normally on the surface AB. It reaches the surface BC after totally reflected, if
![](data:image/png;base64,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)
A glass prism
= 1.5) is dipped in water
= 4/3) as shown in figure. A light ray is incident normally on the surface AB. It reaches the surface BC after totally reflected, if
![](data:image/png;base64,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)
A ray of light is incident at the glass–water interface at an angle i, it emerges finally parallel to the surface of water, then the value of
would be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAADrCAYAAAChKMl7AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGDiSURBVHhe7d0H1C5JUTfwRxFUJCxmRTGARMlIBoEFyRkEAUEQ8IiieDxmRUEUUUkLkhFZ8hIk55zBlbAgEhXFLAomVEzf/Q1b96vt29PT87xPeO/d+Z9TZ2a6qmt6OlRXh5n5ov87gtWCnUO2/9d//dfqf/7nf1bnOte5Vl/8xV+8+qIv+qIzuQsWHB/44jOPC3aM//3f/1196lOfWp1++umrf/mXfzkzdMGC4wuLAdkTGJAzzjhj9YIXvGD16U9/erhesOB4w2JA9gRDl49//OOrN77xjavPfOYzw5BmwYLjDYsB2SM+//nPr/7t3/5t8T4WHLdYDMgeYdLU5OmCBccrltq7YMGCtbEYkAULFqyNxYAsWLBgbSwGZMGCBWtjMSALFixYG4sBWbBgwdpYDMiCBQvWxmJAFixYsDYWA7JgwYK1sRiQBQsWrI3FgGwIXoZbhxYsOJ6xGJANgCH47//+79V//Md/rD73uc910b//+78fjbtgwfGK5YtkG4C3aj/2sY+t3vOe9wxv18aXxca+MOYFOgbn5S9/+eojH/nI6ulPf/rq8pe//OpLvuRLzpRYsOD4wGJANgBfFHva0562euhDHzp8nvB85zvf5OcJfQ/kL/7iL1bnOc95Vs9+9rNXl73sZRcDsuC4w2JANoB/+qd/Wj3ucY8bjMgd7nCH1WUuc5kzOXUwLjwQXyN717vetXrmM5+5eCALjkssBmQDYEAe//jHD0OSBzzgAatrXvOak9/5MF9yyimnrJ7ylKesnvrUp66ueMUrLgZkwXGHZRJ1w2CPeRg95EtkjgsWHK84bgyIhnmiOUsn4jMtOHvhUBsQjctkI3ffCseHPvShYflzaXQLFhwOHDoDwjhw7f106R/+4R9WH/7wh1dvf/vbV3/yJ38yrHaciB8gXoYxC45XHCoDwnjYU/HP//zPg8EwKfmoRz1qmGj8mq/5mtWlLnWp1Zd/+Zcfyga3TpoiDqO4eFULjkccswpjyGCJEe2yUofx+NM//dPVu9/97tX73ve+1Sc/+cnVN3zDN6yufe1rr25wgxusLnCBCxw64yE9dpYyci95yUtWv/iLv7i6xjWucSa3DnE862Mf+9jVE5/4xNVDHvKQ1fWud73BOMJiTBbMgRW/c5zjHKtznvOcQ93aZRs5iwFx+jd/8zfDD48+8YlPDHMPu/rtgF5YQ7Qz8w/+4A+GNDBiV7va1Vbf8z3fszrppJOGtBy2xhW7Sl/96lcPRu/Wt7714CkxxGNpjed41atetXrDG96wuslNbjIs457//Ocf4p2Iw7QF24G6ot58y7d8y+qSl7zkcL5XA/KBD3xg9ZrXvGb1+te/fhhKsGq7gHtrPP7S9ld/9VfDvV1f6EIXWn3rt37rYGFTUg8VpMvkrnmbc5/73JN5poAZnb/8y79c/e3f/u2wc5X38aVf+qWrr/qqrxp2sy5GZMEUos184zd+4+pa17rW6uY3v/nqm7/5m/dnQOAf//Efhwb813/914ObvSsPBNzPSoue2aqLRnazm91s2N2pYR5mMHDyqseDUMCMzYtf/OJhN6pt7MBw3OY2txl6k8WALJhCNF1t4+u+7uuGztb5Xg2IiisoaJfQ+BivP/zDP1y9973vHeZDvuIrvmJ1uctdbnXb29526J13mTnbxH/+53+uHvOYxwz00z/906t//dd/XX3wgx8cDKY5lK/+6q/eqfFecPxCm0Dqy67bxzEGpESPEelNdI8uBownEg3qpS996epTn/rU6sd+7MeGeQK9tN6+xCbTOYape8zRb37pYQ972PAmrndhzP884xnPGHSYMDap6kU71wd9tm3lzSbzI3CYnnVb+ZaxjTzcJUYNiGCNOVxy11nUgyFWzzsccV2DeKHHsdQTxxgGILLmFez9+OxnPzvMF/BALnrRix7jptEZ+lFGyEkj/a5z3B6E3liZyukH+qSZ/rjHFMKAeAHv1FNPHZ6L5/XkJz959ZVf+ZWr29/+9sPQhgfm3p4PynvHfeOY0cr3QCv+GCI/It8z4tmzXtSDnFbHjNBLZ+gt8/mg8QPyqXy+OfnegyibSGvWH+lyVG/dAx1GjBoQD2Ul5PTTTx82c+kh80N4cA3Z8IJnYPw19pAxt2Few3czjP+zrIap0VzpSlcaGs3Xf/3XH83ESJ4lXWF4JhuDL258i4PH4l65QD2HScpLX/rSq+/6ru8aJpzmFIb7m9A1uSwvDLGE5fQ5v+AFLzjkgzdx3W8KYUAYj9/7vd8b4ppAPu2001ZvectbVt/0Td80zP182Zd92XDv97///cOzlGVg1t09xTeBlsEAyxuG6aMf/eiQV5FuoM/SuDL0NrBxdE9jkB/SI8///M//fEhTzg8kLdKkPM973vMOvBakxQognWecccYwF0dn1us+F7/4xYd6cpGLXOTosjfg62SUkfzS6ZT1QGP8zu/8ziFd4o9NdstXq5B0qbflamTUfXmGTPLnfO2BPPScyqaWhxB1SvmEN3rYcI5fOYIzz88CGW4Owi5QpAIaSnhYZKPX3/3d3w0VkPH42q/92tEHZDD++I//eNDzzne+c4ibdbmPN1rpUPEYk9DliCzjaizh7QQ0CoVN95vf/OZBt+9s0Ptnf/Zng+FRGcVV0LyYXBl6EIVNv7kZeiPtcc5w2bMSE1lTkO53vOMdQ0O09CuueOY+6NMIyBjKyTv3lk/ls2ko8sbEq812GeZZGJC3ve1tQ/6IH/kufuS7/BY/lsqnIE2WrBk6S+50hl5pQtLO2Mvz3NDHoL79/d///bAHiF6dQa4jdLrWeTCu0ZFkmPhXv9761rcODT/H96wMDI9OGelIxoylBkxensk7eZh1lXVfWuaCZx11iqGit8xD7YZR//Zv//ahIxlrX/tEcwjjIW0n14A8TH4AfI1ZJmqUCmbsAVlsFVVDpktlKXXFEqZKPGe3KV2RTvdwr1K3nibSSfccAyK+Z9dQ3YMnVoPGT7/79Cx9Zw8kXudXoXkNKtbv//7vD43IHhifB6hB2swJuScjoAwyNGJ5I9/lzVi+R/zefGcsIz/yF9gC9EpLlKc0TkEczy6tPDHGr9TrmndHL69G/QuIr2yiHpTx8ZW79IivRx8zIPKJkaTLc7rOoCvqFOrxsDLEjzrleeVhDcpDWpVN2XEeFjQnUbGCXROLB3KcerjQVdMDWceUrhJTuuEg+mHqHqG/V3fNgKgk9Ku8er4XvehFQ+W98Y1vPKzO1HRHWHmESGsr3SBOLf4YevTO1QlZ31y9Zby58UuIH1RD1tHSM4acztY9su517rNtNLtiCWa1EWtdUvB6Hix01fSg0LNOJk3pRgfRD1P3CP0HBR167ytc4QrDDlU91ete97rBK9HD1u479mwR1ko3Gos/hh69c3VC6FxHb4StG79E6KrpQHGfKT1jiDT0pnXd+2wb8yYDFuwEKo65kKte9aqrq1zlKoNrb7XGNv/SnV6wYJ9YDMghBSNifH2LW9xidfWrX331R3/0R4Mn4mgOYsGCw4ADGZAYvyE9Y6bW2K5EyEUcFDqyrqB1kOPndJb610GOj0LnQXSTNydidcYLhZYLLXHa/m65k+6DIKcrU5knC/aDWpmUZYNCdl+Y3IlagyjG5sbk3Guz/aUaYzgz/MbzPUtQdIQ+PWzWF2NAM9+hj/6ecSE9Mp1es93S7TpDb6+xWkmhP8aePbDqY8afbkf3K9MeulGs0IxNotYgPyy7WnG3QnH3u9992O5u+VBa50Ka3T/SDGX5WTmRXisBPatKCzaLqLNWapRXhjql/uc61VtfN421DIiHszbugz/e3NUj5srPGKh4XO94t6PV4CXBktnLXvay4bV4Y33IjYNOG6a49L4PYnmrJ9PotlT2xje+cdgWbzIyGwjP4vrCF77wsNqB6O5pmHQzelZM6LYpSIPMcRkse1voveENbzis6UM2IMik6ZgBcR+VyEuGVmbsQbjb3e42LPGqQHMrj6X01772tUP5yY/Ig4BnuNjFLjaUnS319l0s2C2Ut6X8RzziEUMdi7qhLiD7WJS/iXZ7UcbqzrYxupFsCtGDeRgbmDyEiobsoHNt16AdfzaItRqkBsBAqNgyzlo/PRpe6EMqNZ3cel5IL+gO74OHQW/oDpJOuqW7d9MOGc9v2VWjYzQVbNYt3YyGbzXQHXsGpMlGJRvGbFu3YaiVR/TbdGbTUd6oZbJ1rocgj+0PkR/2Q0hjmWZb6y9xiUsM14zUgt1Dx6ecYoNilA9Sp5SPjXr73KW6lgcCei0VEdVUeCANIi9HtUBH6KO7hPiIpe3Rl5F1Oy/TG7qltXdoFKBLejXomm6Q3pwXwADrXXyR7EEPetCw2mKTk8bqGaWBTr2PiuS1Aq/+221pY5HNUjy8W97ylqtv+7Zvm2VEpLGV15DTG2k+OyCXX289GItTqwvQo1dcZcPI1/TQEfV1n+WztgGBnqi9hQC9SZmjM7BN3TA3LxgQr/L/5m/+5vB+xnd/93cPQzQ9DQ9MpdD7mPvgddhCz7thNPQ6tsHbwi+uTx3opeZUpG3nx/EIDdZ8k7kHXmiPJxpxNHRG3NyRcnDNa8RjqOnBp9Oxt6ymymnf5XMgA7JgfTAgv/M7vzPMg5jT4ZaqbFG5eB8qp/OogOR4Kt7r4ZEYI3t/wtyKL1IxImenBr9JaAa8PUNK83Dy2isErbkFcUxymrNTHobAXtoUxzVd3iEjoxwNE02WG4orw14jcpix9hzIgoOBgYiX6e51r3sNcw6GKuaBVLh4Z8jciLcxTz755KHymeCN919UYC9fqaiGPoYyMfxZMA/ymiHwo3Ob9jR2b/22DAjD7sU6n/+0P8dcn/kjLzwyQsrXC3y8SG+0069szVvFm8/He1mNGhCVkxtm8pErHZNuwHKeCNZznwgDovH/wA/8wLDPQ+915StfeVi10gPyKnyCICaOGQn5rtI5xlfLvH2qYhr6CCvfUl3QBuNhTslbwFYCNXp5ryzGDEi0D28j+0G6CU3y4I1i4criHve4x+q6173uMPw0+W0oqix9eLt3sv4wo2oFZI5M9TaoXw/80A/90OrOd77zMNlnyZIxIVNCWMStUfBryHGzXD6WFHA+pf8wIdKpcjIAvAkurV7PahAXF33Hd3zHEGbSNCpbxBXPpCuvxOcALKUbEqmkOc/H8rOFkA+q6Qu5XmR9OV4tbJdwX94eT9A5I97TqMkyIDwL7UQ5mb9SjjzG7/u+71vd8Y53HM7NbXktgYdoXsSqXc7H4xlVDyQqqv0G8X0ND87tUqm5aXq5nNHGj76hYMKPRdazythMZCz5lq6bsb+xvB5AQfpSufvHigRX0eqD72JoIJZi8YTrOXybQm+uME2ASds61t0958aZC/eQD/aMmMPwTPFqOa9Euj1T5J+5Es+kHMThDsfziRP6XvGKVwx7XQxv5B932R4PpPzolmc9r9bLA41KfupNlWmUoR5UvTBn0zNckj73jslgDYfhE0/5qTPqCzlL3Lt266VH/rzpTW8a6jdDYEhi+KLRj3kgnkmd5P3Z3Gefj6VVc1gMPj3qOkPPizcXIg88u4lwHYSy2OWzbgOjk6iCZa6MUtCuFa4MrRWyHpD797znPW+o/OJkqPRWC37+539+yOCITy+L/MpXvnL1y7/8y8MXv7jz5gVMDuqdNRBbuJ/1rGcN5w984AOHwpU2G9oe+chHDnyFdfe7332w/tx+hdmCe0unRgr2cXi2bUKemrf4pV/6peFHVO7NgJgclW7fQ+VCP+lJTxr+GSMPrLTE1+pV8vve976Di20+hLGwIUzeMDB6RXmrnMJYcJd97R1xn3sgX5/73OcOaWS86ETSr3GdeuqpZynHMcjfT3/604Ox9P1Xz6iMwlAKe/SjH736iZ/4idWd7nSnwYhM6YSon/IPuS4hD9Q7+VArV/FtYDTc8GEfK2Huf9e73nV173vfe3W/+91vSGcN6mxsxBPndre73bAZMeC5GX7lY35EB8fQXP/61x/KzvBm23VtFxidA4kKE0ZDY3SukdYKGI91NRY0e63iZ4qMY5lzw6bLdVh0mcyS2wVpuZJeRsNOTz0DT4j+sPb44igw99YTaHCMwVRFVOl4PhqDiuB+sdFrm1ChbQIzb6FxMQjf+73fO6Rbr8VTCC9EBdcI5Ju0cYNtSjOm9ozKRkM2lNGwQZjx+D3vec/VrW51q2EMzigzPlNGNUBOWrjf4t/oRjc6Wo4mdE36yvupPFauPBmN1HN5r0dDk/c8GkZPnWI4Q2cPlLfGyTA9/OEPHzouu3Rf+MIXDmEodDO0tfrA2IbHrO7odHgJDAODLg8jTo4r7YbxPoLNCDE86qN7gLSZEGfwf/3Xf32ou+o2Gd6HsjwRvA9orsJ4wBrVoNIqKJmkx6uRoQ+5mg6Zr2B4IMaRKq1ZbQgXXS9s+KKx+ASfhkWfHl1cBkrBS0fcQ7gCVdDOMwydDCF8FV1jVmEYQXLxrM6R+KWOku8YYe5ZysZR49SYpdsz8co8k14JDzEshg8agO+KqqQMh4purC2dIctLUykZIHnn3vLAZKwKKw5jQDbS0IJ0y1v5r1HnMjRHwAD06mLwNVIvAnoOeSxtDIshK09HOI+SIfS8JSJfM+S3Hl4HwGNjeKQ5SAOVfnNK6l1pQJS9eIZkvAl1h7zhsG3+rhkUZQS8RJAW9xbXio1y1Nkpg2z8eEXqMoPEi3H/SKPnNOHdaywPMza2jKtwooDivKQx7yX40SNEY9bLgvG4HoxVl/l6YQ1GIaigLD0Lr4c0Nle5FbJeXEGbNzHO1ZsLVxk0MgXMdbWlXNrcjzej8BU44yRNMRdkvC4N0cBUABVRJbOpy/1UXPexD0Ca6NDz5obhWTUg9zXn4/0eQ4uoUO7JI9LAeA4mSTVcDYEc4+H+kZdxFF+FZnD1+hqX/GI8wnCHbAshF7L5GsWzBL8FjTy+ccr7CO9QuCGvBmbFiVHS0OiWv8onDL/8kF+eL+7pSI94Ohtlz/sMT8k5vQxIzDFlMNDqjXymRxn5Jqv6p67pCN3T3Ig8VN9A2tQR5cbDUS7eF8odo6Py0cld5zrXGYyRuhrzSDoKdfhE8EI2ZkACMmSMWsBXYfQAXFO9rULTmDVeDVeGqwwqmsaux+BKWnNXIc2xKCiVTrjexct+XFJzLCoGOT0LGRWAy8sLYCRMdPkor0kvBczbYYD0SFxkegwrNFBDEL29+zz/+c8fvqxurBsVxbBIPD2TCbOyAnvW2AdimOF5NB7p8qzSxih5YYoXYfiikqLckAKRx/ju6TnpcNTjC8Obi9CbqReekeFmpHUChikaJjCup5122tD7G75pmIyxPFfm5KVdI1YfGGd5EPkon/DcQ75F3gSpKwyDI36ZbgbEkMfEs/qlHBg6eaYDY0x0AvTzkBgDcF91gGGRVh2d+lTqd0/3JqNOqCvKlVeprHUM6vGc/DyMODSbOWRkGAYFr4KpXCZnrShosDLdUQ+vMFQ45+TF04uoiCqH3t0MucbOhTe/wUCYFNTrkdOwYt7DuTdiDYGsNOlB6DGRyQipDCqSCqznZGhUNJWVV+A+5mjIawAqjN6MEVAJe6G31WAQHeF+90J65IXe3nMzUowkfSr/rhAGQQ/PEBj+8I7kn3KVL9LKuPKQNGAGn0cp3w0tNWxGwrmylK/0InmvHB784Aev7n//+w8T8CjOzYsoN94C+RLKnGfAeN30pjcd8suSaxgK+W6uBy/CQB4adsnXGFLW9AfUa8/p2elhWDzjVFm0dB4mdHkgKrWGKuNYX5ZZBcikp1bAhg/ZvZ6D3HjoUbkYEA2R66tQGQ7p4J1ouIyLiqrR6wlUUJVGGhWCiqEX1/h5BiqjHl1h6pXJCOMK2+9ikpAePYfKr4ei3+qBnxdr1Co7Y8cDYtA0AJWeB6KH1dOa0+DJ2AimkkXPGdAwwgMxRNHo5Zl7Sbu0qnjiG5aV8VugRwNhUOkxxFIm8osH5x6Gb/JOmsvylL88MoZPvJjvmAuGw2SmMvMcGpzncE9eo3PlIq/ls/qjXAw55QvvzrXyMRwzSRzGlIdi8pNXycuRXl6Do7Kgy1DBEEZelPXRM9GtU6JX+pxr2PY6MSx3v/vdh7IzhJFWdcUz8Szd11vUDGPkT/DVX2mSBveWj9oPA8komph2L88y1k7ookPd1/Hl8kHKjyFSPurJOu1tE+jyafWuXDsuJ3fUdcCDIg3AZJJhhMbuoeZCL0+Phi3DNUCVj3FS+RkQBeBaIZHRCDRkhRIZqVHrOVQGDZ1ejUlFEKaQFSp5PBXA0dwCXcBlVonJmeBjoPQijgyQwlPAKpgGEPqj51c5fu3Xfm24/5y8kD4NxzGM3NzKQV56VG6bmTRiE36MbsyRaLDKU7m6V76Ha8ZbI4rVsLlQJ3QI8S4IaIQqPs/Am8WMtTDnypIXqHHwEM03MXY8UUa7nLhlHGxuZHxrHp48Vy501PKPrtAH0svwRH0Qx33lY/DVG8NdaZUe9ZF8hnopb9UdMt///d8/PCMjyHCqx8o137uEe3kmn7B8yEMeMrQBnkvwpE2n4k3sWD4O/q7R5YFIsALRQFQsDUojKokVN3cwVmgtkEcqncw2CcgQseJ6RKsQKpjGxZ3V0FUQvbiVAr1IFLzMVAB6MsMKcxQaUAxFTHpJJzkyerJwaT2jQmK8rPzoaVQa9zGPYghEXsWOYY8GF3MWPvDCyMgvRiQqWJkfNQ9Eetw3Jh31zgyjtK1TQdybd+RevBCVW9mo+BoGnklARi+Xo/KVF3pJsozgXMh/no281/MyJIaVDL58cpQmwxlGTWNVftLqyOjoKIABkxeMqcYI8lP+yhtzDCUJl275VuZ9CeWtDHlF9t/wdtRD99NQowx5PcqGV8ybMtwt67r0eyYGUJ0wzDKE5EnIc5OqsVIYz1KCviBlRD6XD7LCFquR2sHUM24LXQbEg4bxMGmkwpWkASvoyNB1HigKW+XScKNRMSKMk0qmF1AwClXBMwAasUYrncJYbJOxKmxUXnJ6P+kztjXUoFtvZ2JLhTNrr9KA+zA+DJnKzCPhIqtE7q1haXyMnMqngmgwVgTkQ+TBWF6MGRDDCxWYTnnN0K07JBQnGhnIN8/CQ5JG6WcsyrJUQc0HhPGYe29loAEZCoSbLT/lofxV6XkQGilv0ZCPjKGn51Y2ylzZKHMNRXqzJxf5iuRbSZnfA/dVFjovjTs8Xp2TPPBMsVmSfqs8ltPVhbiHo+dgwNRFnoohv3pDJ6Os8+IJ9nil8masvTHu8pFRmvOcm8as1/l7RA/6ICqaXv5Rj3rUUIAaqAxXYIyYSuWdD4XjWmEaNjEwei4NUMV92tOeNlzLaBVQQzLhxlj4BoeCFNeQ7JRTThkqzC/8wi8MPQ7wdOxw1Uvq/RQ+r0ce6F3pZowMe3gNj3/844dVGvaYIaK7BQ2k9k1UuvVgGp6eRbqndE2BTsbTfXhTnofrK189Rwtzy1P+aIxWOAxNzCtxsT0vxJBOOTEgrjU6xk3aNAjeZnQielplu85Qbg6kW+fAwDqXRvnPGMh/6ZWe3/iN3xjqpMna8HAyon4YJqoXMdxnaNQXRHfvs9DXwr4MR2BWzZTYKTooZK6GynXjPTAYeuGwtI4qvvGqXs452ShIlZfF5znoBUyIiq8CKNjoTciJo2DJMVzRY8S4XTyViD4yek09IuNisk5DB94E/Rq9SqixTBX8GNzHPWKIdlDjAXTycEwC89Q0BMNAPap0lmWYaS7ksbIxP6QBKRv3lpeIoRamc+BVuNZIDQm497wfPS8PyP4YXhIPap20zAH98p1XoWeXvhgyySPlzcOUVjLCa2kSpg6T8xy8KaRjoo/BnvMsZFu0bxy8dm4YMoVnIcO5vBo2I6GX0pgYEDyNFZ+LqbFFQ3PkFai0Ct16vbEtY8RogDCVQUEzCsgQx/sk5j0YJoaGV+DejBGeHtxcisktPbqKJR0MDtdXo7E5yfwFo3KYoMKbVDVxqQHLE/nAUEa+bAKMhl2njIgVkPBwyoofBGHgGAvDKwZDGRuaaoRTXtImUaYNlLP6oQ4xgtIpzVPIurK+EwmH1oDogbiueRkNNOwoRA2CdY95FyBnrsZkJmgk9myQMXakj3tsgo6sHlC4MaqGz+V0Hisu3Gn68EwI0hX3UMn1uCoXD4Qhc27Y02NAGDvp7qmMm4D7Gb7o2XlRVgt4IwzxpuC5zUEpM3kXc0otRAOTvsiTfH0YwKtU1ia1dVqRzrM7Dt0nDSVHY9SDcbFVQC4jbwH0lno5vT3ZPJEEwoytVWINmSx3kqFQuekVxvDo9cjyVGIfC+PBfeXF0EWWt0FGugwrwi1nzOjEt8IhvoolTfgtw0DWHIsdrF7KimXoXcCQzPyE/Qzy5j73uc9gWDZxf3mk3DQ2QwL6d/Vc24J6IM88l45FHTnen2lTOMaARKMxF2AjlRUBDVSPzyvQEFuZJz632Jp3bEuPXoRLyoXWCFugA8U8RfRIgeDBWE+Aj8hGfFSLl/UJC55wCD1ZVzwTRPyQxxtLFxn5Yzb/yU9+8pBPtrLLV16SCTrGhOs+xzOh13BPniu3PL8RfMRrcg8N23DNkrQVNCtBhhzlPRkCxpNek5waEuNrD0atHOM+EPeu5cPxhHgeZexZghYc8fhry7gmArn+1q9VdGN8lSWW31SysQyU2Xp58b0/Yqyt8pll16tbNrSy0CqAKKBohKVs8MYaKYSMtGbZfJ4pwoMXOjKv1JUp+CEjrAb5oxE+5SlPGTwAE7Emio2v7Y+QzzwuXg5dc2BYYiu9jWPmYsxF0OsYxDNjRMzv6E1jydt9GRBzTRkMiE6EvtBr3scGs1o55jwJOt4Rz5HLfcEXUPVAuOXW5JE5AR6Hxm9cO7WsKD43Vi8rfl6R4PrpaXc5KXbYIC80SsOe3/qt3xqGEnYb8gLku3w2bJu7fBt6GQT5zhuJfA+o+PQqB/dxP97Kc57znMH4mLNgGHgnIU+HMrRCZa7EOb55qMWNX1A1IGFhM2sdq1uoPorFgn/hOxn2qvDS7HnRIHkcOe/n5NNYudWQ9TL09sb4ohuDYvu6nY95XilQ1oe5aVxw4uGYLi5XCOdB6yDHz7TgC6tFVnl8uyK8jZw3c/OpjNuiDBOdVqEYDd6mTXx2ZPI0SpQ6Sl0Lzn7Y+PdAFvTDkNCSoHklw4F9NEj3NKSUBpPn3vXgHcX+mNZ8zoIFiwHZI0xY2jQVk6X7aqjuaxJVWsyFeBXARLrdocLnzMUsOHthdB+IJStLgVYG7JHQK+UKjq8BGLtb1rNqMLcBcJnt1XAPKxO5okayTPjFPbj6vZBe6abbUrL0ZtBvMpBeW6qd96ZfXCsT8WkBe0nKtEsr3cikaK9u8xBWseyUtdelzHe67T+xkmLVpHdPgjRKM72RHzW9Jl+9x+J5vC7uxUN7WmrpF4e8PLZ713yKsFJW3ZBWaXaPVl6In48lIm5Lhzw06Rt5aDiW5elWd6XHezo2APaueIlrotrzIl5bWfbKw16ieOV/rgG2CGGSXb461srKkn+0C3V37j02haoBEWRG3x4BS3deOFM5cibHioEdnyqajUi9hRBQkb1ib7nYaoBMiIySacieCCsDiEvdqjgZViKkW2MwSSi9kcmej27L0nZlelFPYfQWgryxXEo3l18lykMQ91IpvXtCv2FKb96o7OYgrM7YKSrfc7qk29DHW7/2btifo1G24Hml0RZ8eu0+9QylXo3ci4A8Edv3fbLgB3/wB4cXD70zVEIce0Tkg+V+n11wr8iHqFr2D3nhUZoZvFoZkpVvDBKSviwXejV8E7zSM1Ze4ttf41m9US0Psy661d3IQ+mjt5auEuLKG3NFvrauDseqojTi6zysaGkXjnNWq+jgBXpXSbvwRnnuoPAR46ftqV86wH2tbDY9EF6Brdk8ERU7F5hoCtG7IhqiSj1WoGPggbCw7sGqlxUGqXDuYW/EXA9Euu2xUMk9T6mfFZd2+ue8sCWudNPtHjUPRKOmG83pIVRAvafeje4xD8RyuIrDu+n1QKSZXh5OLT80KntDNECfJ0C8D6/b279Teg/iqBfKj3djmVdYmY/KUFrpGmuonps3ysjFNzey0aVXHlru9oU5jd7wqgaGSAciXZ5Zj57h2SMPlY+OqdfAi+s5pVX5y6uy7JUH3eqs49x2Ebt5o+7Km8gz+sGzR9tTd+feY1MYNSCAFTQGDxY0B1mnQmmBbhkkzpz7bDv929Ad+np1x3kL9JAJnS29eFxnGwA1ZhvdGA+fdLRqpNPI+hyVX0snmUhjHEuEAbEBUa+r4eR49KsDNsDxHHheOoAaIi2OB01XDaG3R/ccvYHQ23uPON8HmgZkwdkPem87j32nxHs6PAYvDnrV3p/tjOvzcG2TYESQNIx1Ku6NGJN99boL/j+WVZgFZ4H+RCP2LhQPxHjckMdksZUZE6L2jmzDiDAIhhLG8zydGoXxcG9pZWikN4zJvnrisysWE77gLNAQzauYDwHegHkOY3JfXHviE584TEyap9Fw9wkGRLpMapokXrB7zDYgCm2KDoqazpLWRU1XSeuipqukdVHTVdI6qOkwwciI8ATMM5gANXTB9zKdH2KbnGwZkFJvjXoxFs+577RYBeIlZV4NWccYrYuarhodBDV9Je0as+ZAVBgzxKhWebiPXEzjZpVvrjspKXo8Kw9WDWpJ00OGO8vdnXOP0C39Nd10he45y2J05bypjd/pDtd8bt5M5TvQOSffI82R15Fmcenxjs7P/MzPDPsYLKVbTVC2lsSVwU/+5E8OKyJWmDLopS/01qDcIp9jOFKDNIUuZUdOHOmjQ9hjH/vYYbnW92VbWwl68zDSNad8pDPrLusWXeUzz8Gc+iVvtjG8HMMsA8Jd9Eq4V/Mt8ebCokbC7SXwJWm7GPVkcyBzbP5RSbml5QYgGWfJyoeSfa1M5R6rMCWkzxIm3V5ft4Sc4yogS2Nm96Xfc/RCXHljfwXd5b4D91a4vs9Kt9WMOXkjr+U5su8gp1ueuBeddPfsCwGNz6qH/DDfYbUlGrNKaC8KHp3+scNYyB+rM9Ihf3zHRKMVJ55Xvvq8o7xQhpDzQnrNo0QZjm1AlGfmX+wPsh/Jkqw8lA6rQvZBwG//9m8PH2T63d/93YE3Vh/koU8bSJeyUlcD7uXZbcryvJaINfQeRDqVu2VvG9eiTDLUVboZY3NItWceg3tYJo/6ZS4qGyH38zx0y1P7jvLzbROzJlG5iTboqECW+oyDFUyQa3s1ZJYeq7cQQCap1DKKkeKamrhzz9BvaU8FtW5vjZ2b3WvNZTK3W8OQfrpz+jVMjUjhWl+3H6K3kOmWTpWdbuv3ZbrtSzAcUPHpnpM34ka+26wl3aGfbueR76hHN6Nno5j8UCnle+SHvGAEpddHjm0kUzk1dmHmG/ySwoYu5eAY5cDo26GrsdJLX04r4lXQJW5rB7D7WBHSMBkle4XEs/fBHI17+sSkvLGhyj6TWn1QtzxPzkO6pCnS5dkZTvmnjBirXtgLwljS7XOZUSah2zlIH921N51bkH5loqzkK8Mf+lGUlzyJttfbsR4UszwQriRri3gLZSa4ljm8BL3V3IfQEBkIFlahhNuawbKqxCqeAu8tCLql3yYghkIDynFlA93STbcG2atb3Jw30p2Br2LTLW/k0Zy8oVua6XZephsi3XT39D7iyWM66S7zmhFUYe1M9QUzXg2++2skj370owcdfrsQu4RBPmv49DqSKdPLwMkH5LyWz+SUkbQpM/cFz8jIK3tpNnR55jOfOUzutjwQ9TXKp8zDgDKne07djXRm3fIg9OMre88p7equ8qndfwx0MMxxD/fLwJfeqF+Oc/QfBMs+kAVV8E54gT5credUTaJSMvKGPfaJkLv3ve89eCpzXfODglHoNSALtoN5szkLzjbQG1t90WNCNgy8ETtCfUeEqx/fVmVYlv7o7IXFgCyogjdhUpFLXIJLzg33jowPIpnr8N9gcwtc+MWInH2wGJAFVfA4DAdaQxLzHuZAvJti9YEn4liO0RecuGgaED0JMimkUpi0Kkk4IjO355nSjdbVHehJf+ifc4+Qn9KN5ugNTOlGkfZebDrNvBCfQbDMa7hjxcTqjBWBmt7I520jnq/1jAdJS08erqt/SjfCI7du+jeJ5iQqFpc0louMcWswu+z7F17pNybunUij23KaZSizy2U89+dCW7pDc3SD+GbxY5muNvuul7UcLP2eo2cFA+g2Mx7LdFY0MvC5+oYClm3dY6pHD0S+00t/me+hO+dN78oLXfJbeZYrafiRH5HmqfSKowx9H8X3K+T3He94x2H4Ew0JWTXhscjnTa0SlJOo5mXAs8k3aXHv8hndXzqkZ85KHohvdYn+Vh5qC8rFcY5+5RNLtM7LuK7VKelXPnOWm7eBpgGR+R7Euw9erLJXIENUFdcGKd9o8GFeD9ULjdqHU2xOMn4uCwJskOIi+yFVvJ/RCxXYxjT/X/FxIfspygKx7OmHV8byNmGZPOyB9FmBsLWbbntMMvA1chut6JY3Km4PxNXIfRdD3sj3yA9wLt9tGJIvPlpTm6soIZ49GpFm+ZGBr0JKq/K0qtFjmBh/n0H0Bq/NZxpNWVbCpFN6GReNrAZpiF4WlJd8dI2kBwmzn6Q0IIy6DzEpcx4RXWWZ2+ejTK51rWvN2u8D0mcPFP2MZlmn8C3Z2jRmjshx7FlLiGsISC8q6xQoHytjUT6MyT4xaUDsybBByrIdy0hchkU0BWlzjN17KnTM2vdAxbNByOYYmUVvFAb9yBKihm0j0xzdIP2xWcpf1cLLyenXA3nPw85IG5tc90B8lUfabVDSCwdCvyMXn+45u0/FNQyIvGHEc76AfLdpiIFSoXoMn7gMU6RZD531IhVUWpWno/tMgbdkc5M8ZkC8m6IhKzOdC8Pp2e1Oll5/3RvTq3enx6YsOuysJGujlk6GzviDP5QGhMFQV5V5vK/jGfNz8gyUifTMXXoW307WaBPqVH4WdU4eagvS6tiThwFtjF4UdSqnnTGykU75qLe9ndK2MDmEkSHcNJUkeoUSegQNLzYF9RRI6M7vOpQgozDoRQpibmFLM/2eISpThmv3kP7o2XoQ6c+6awjdjr15A/SN5bt70xP5jnr05vxArjNce/5IszyPe7UgHyK9GoD9IQwUT8OHiBg6FZ8+ep2P6dRhmUfx209Gww5T3osGZalYr36Xu9xlMJqev9wHIv3xfOpULf3uH8/X6x0Ech56Xs+eUeZhlHsvpJleVPOeIOvura/bwrKRbMFGoUPghj/hCU9YPfe5z1391E/91PDOjF6/p7KrjoyIX396v8U8haEGj4NHoddlKBw1/mUj2X6xX/O14IQDr8Acg/dnbIO3P8SHueN7qT2IbfN6d+66YQzPw1/z6OTR6H0X7B+LAVmwUWj4jIjJQ3/w5+qbDDbvYs5lyojgmwcx/mdIrnnNaw5v3xoOmQtzNFHvHgv2j8WALNgKrApZ3brTne40rHT57YNVEQalBWN/QyCTk7wPk51WdObMIyzYHdYyIHoJFBM+MWlVkvGwCade1zVDnDzJWqOYaConsnowpRuF7rnpF6cnb9bR3Zvvc3VHfozpFR56x5CfmyzDwYOwYhB7RSyr44+lzcqLZWt7IOx1iNf2N2VA1Edp80zuVXtOzyB9c/KPbORhqTOoJw9rCN3SVdMbRLfn2yXWmkT1MPZwWGZUIWJ5NIBvhlsPcolLXGI4zq0EUZHcw6vlZTLdQ+Wy1Oir4WM/LKpBJuvlzPL7yJDML9NvWdQSHN32CvROzkmnpWO65Y2GkCcP8c2gW961jBhf+uqBdFk6jnw3r5DTTTddltWtUpiLUA5T+aJi+j6K5VMf7lHRyziMgeGDNJsQLfPDvRkJS62eXdo8tzS79jEcMje60Y2GSVWfCCiXnvFt0LIl3nc+5M097nGPYc6jNgErnb2TqHQj+2Dkn7olflk2tgooc8vPVn9q961B41XudI/VKbqVuzbBOM4pd/kiH+VvucEM35yQiWVpV+67GuKtbUBUYBNkNpjZW5ATrIEavxq7+nuWtzYV7FRFzmCUVDof8rV8R2cuTNcqlsk6ldJW6t7C1mB8tIhu/yBxr1zx8O1KtVkHaYy9BkTeeA1e3tiAp8HnCb+oSN4hsQXcvojeCUHPbL+F4YDNUrW9M9Jp/oFuk489e2dUdi/EyQ8b+1TQ/LzSzECbwKSX0S7T7N4MvT8N2qjGIEWd0FDp1MjsuzAheq973Wuo6GUD1rAZBMd4jrHOYY4BAfnn+Tyn/Sp2D+d6q9x1FsrcRjMGs7dO6fAsNUcemscp66vn4JFpEwwU494D+e8bLHTz4nTeZX3VKdmopy0o911NMq+9jGtCzIYam5xkXs4sD6xgTHZZfpvjHQRkisbnHno2ycw6XOvB9IYKXQ/Zew9xbdSiW2G4V44r/QpAL0E3YzIn/XrfvF28bCTyRp7IGw2qt5KKqyFKt/0WGkCZJ671nHT3TjZ63pwfKnupV2W3pEovo1RLs7TpKT17TpsjHcJ9a5Wcb4gwSHkjFxm9rM8Ugv0ejMhY2c41IPR7Ps+pbin3st7q+JS755xTp+SZ5eexOhV5GOVujmhOuef25rlL3XQpH/VVuffqPijWNiCiyfBWdA/pQXoLIYPeTGPI+ufch85tpX9bukNf6B9D6I7zHsxJc5yXEHcsbcI1MN4TD4Vhs0rjNQXn9JFhZGwT19h4rhrbWG8614BApM9xDFEuvXkHoe+geVjDXN1z0n1QLBvJFuwMemme02mnnbZ63OMeN7jyhjKxKQxydZxqCOsYkAWbxW78nAULjkDvyM02b8X7MI926qmnDnNQ0bsyGkEl8Jf+7nBhMSALdgZGgYdgctLkqKNVBcMaY/vSOLhmWMwnmOg1d2Jy0pwbb2YxJvvH8m/cBTuHOQ9L8CbBTThaATJRbb4jlnat2BjuWFa2Ac0qhCMSZhLUEMZKHd4tb3nL0d86LNgeljmQBXuD1SpLnk972tOGoc3JJ588vJLPS+GReKXfd0usPphUtXIR3oiVBrtULccyQF6+i7gLdofFgCzYGxgDG6/8Y8ZeH8vDMaFq6d6+EvtBLNV7I9c+B8uslpwRD8SKjU2B/tdr6/xiQHaLpgHBMua0s84OvnijMia44ty6uYK3A7LcXdiCMa2NUb7wpMfJk2d0Iz2TsbIdfHN066VsZqJbD2YsHbrBNbdZum1Cm7PXQ1yVVp441vYT2EMgzfTrLXt1g+e27i9vTDRqLDk+fkxIRt70bEoSj+tPp2GA/C/TbXihHP26sndIYLghj+m1G9N1mdc+fCOfpTf2KQiPZVtLu4yIMvMsNpn5wJN4dgQzHj4kZElX2RremD950pOeNGzgeupTnzp4IOZGor6ScY8yLe7v+eyQpn9u2TBu9LtPKw89q2NPHga0MXqRZe8yba4N9dQr5cOg7hNNA6Iw7HZ88YtfPHzvUgUhHg8V55bPbnvb2w4uqErdWyAqnYrz/Oc/f3hbU++RdSsMOzV9VMYYV0/Uq1tDsWvPj5dti1apc0F6Ng3v1re+9fBnNYXdW9AMhh24XlO3I5SRVWkCdDOq0nyb29xm2HU4p2f03AyT3ay+qWGMn+NHJeXC2xYu/T1f1pIuuiyjmrjUeLNez6VB2ZuhPK9zneuc5bnGYBXFUIJeb95qVDkt7quy3/jGNx7yw1bu0OuejCVPw4oMQ8ATsYnsdre73bApzi5L6codiDwQ7xGPeMRQfxgSHoiyeMlLXjKUja+S8VLyM0qL7d63v/3th/SMbZMfg/i2/GsPvrwmD3MeeR6dh5UmdcuxJw9BndfhSb825zynHZ8uO7yVj414NqbtE00DopDCS+BOxnJbrhzOGQ3WXGEo7N5GTrceR29oMi3Hi2SpQHqi+AdrL/RSekPpVshluuk3ppZuvd0cD0TcSDcjqNKUulV2adbrztltCuJrCIxI9EQZ+PSpPNLvPj0eiDygS++pwdZ2surh9XCMq3dRevJEI9Xb0yuv5UcGvQyA+kFv+XYtPh0MvT0dGv7Nb37zYY+IujWWd+I8/OEPH36ubR8ID8QzRn1Vp2rlrjykg3cw1wOhj0dIv/uUeYgvDxlM5TJnYlfalI+yoXvMA9E5qVfK6VB7IFhzMneO/FzdsE6cTeN4TTdsK+1z9Y7JazCGMc9+9rMHA8xb0ds6r8kzIMtGsv2iaRrnVrY58nN1wzpxNo3jNd2wrbTP1Tsmb+hiyOrL7TxIbjwvj6FgdBYcPvT71QsWbBkxLDP34o1S81jmGkyWmnuAxZAcLiwGZMGhAiPijVIThCaJfRrBhLU5J0bksHhzC76AxYAsOFRgIBgRy6y+y2Gi0wqdb2HEsuzihRweLAZkwaEC42DJ3byHZXtbA6z+Wc62SmNlzcpHudKzYD+YvROVOGr1BHqR6EniugdZd1yXOIhuoDv0lwjdWX8PenQDnfkevYg8cazlCUSa19Gd9dcwR3evvtAZ1wF7O/yUyr4S+yAsmdpbYoXGPo/YjGaOxFfabWG3jOs/NLVVmEhPpGkM0lJLTwtZd1AN6+iG0Oe4bn5uG7MNiN7BWr+16niDMifYtbV1rufcdXa9irV7a+B0lzsa6bbubW2d7jn7KxSASTnptjlOD5fj4tvDYm3dvhCTeb3pFlcFt2+D7tr+ChXb+j3d9jaMfSSnBo3KHAD9euOc7ig+vTXd0j9Ht7RKM93ljteAfRt02xcytc9HvvoqmXx2hDIvYk+IMrTykvnSwNOwwdAOU/MeNk9ZlaHTTk0b8+5zn/sM3on3aFoGRHx1yfPZs1POo0Sd8myecW6dkl7poltelmUj7crEnhA7YHs3lYH42gSvyz3sgHXPnH7X9jBFfs75itomMNuAqMwmtezw9AtCD5Ah8QrC7kjr+DY69T6QArAPwGfvfKtUo8ygR2Wm2y4/H/jtLRDp9HKWdBtP28RWPrqCsIQo3X4w3ZtuhewtUbp9EJiBLaFgfWHL7kp7G3p+hh2waclqhGVN5zXE7kTfG9Uoe6FySrOdm1Y7yqGB/NVg6fad0KndwMrM7lx5oQzL+gEak48JyWcburI+DVw9UD5e249GyBi99KUvHYwLL+RHfuRHhrp1yimnDPtGxgwIHeqp57NlnoErwbDLN+mJX2b2QF75R66dsL5/y1BleC4b/MzlyD/pm7Pxy7PbUGhHsvw8/fTTq+1NPtj1jLS93nq7Ccw2IAqAh6CyseqiR4JDVbxj4uO7PVusAzwOFVpjpFuvExY9dNtUFLp5CXN6Cw2bbrs7s25QcelWGN696N2FCeLybuSJ3ZiMrLg5X1RKPQTdPKienaMBva7XCLj07lP2ckCnLdrSP0e3tMoPaef9leXpnMck3RruVA8XngJ9jpD1IXVCGZooLXeljkFjZTyf85znDHmhwXvBjvHwIt3jH//4qgERj4clPfaUuC7zzzN5NnWKgZxTpxg2uqVNY89x8XmDjCTdVpfmeIfSpk0oH/WWlxNlEnAtD6NN6Jh68nNTmGVAQlTGINe16B5ARkZh9j5Q6NMgp3Qj53N157SXCH3S3VuJoEc3RLoj7T1YRzfM0R+6UQ05T6b09uqLtDrv0QmMk+9/6JENHXiLPBIelHdhaq/zixtpUq9qmJueQNaNIp0lct716obQl/XX7hHpn9veNoHZHsiCBfuEIYkJVp6HRuPFNl7rqaeeurzOvwf0d7MLFhwCmMT1Nq/dqrwQBqScbF+wO5zFA4lTx8UxWXBYwZ03n/XqV7969eQnP3mYvDQ3MucHYCca8vBoL0MYhcI9tEzIspu4M+F0vFv2xRCemFAv1VdDlze96U2rBz7wgcNqUW2V5USG+m1lx2cvTNKOvbm8LRw1IJbOrHxYe7dcZMnTpNXxbkAW9GGsnA+jAZZW8x86PSuCVo9sLrO6c5g7jE23pXhWhsOKlG+o7G0Zl+dhecxyUXyujTWXmDJBU9eBHN4TZxMyPTpq6IkXYVM6x/iteK371bAOrxWnRK+OfF023k2kYwyGKu5nFcbKjGV3nwKw3AyMS2Cd+0Wc/EwHTfcmnjtD2pANauaFrELN+SLgJnDUgNgAxHDETscyEfnaeXmdj4EcXpOpybdky+tAKZ95gZY8jJ2D66k4gVLOcW6cEq04gXzd4k1hjuy2MZUWQ2xzID5r6G//vmBm09bZCfJIe7XPyB6TWtvdJs7igfA6YhOUhAwCKTFx7lgLh/J8SrbGa4XVeOB8jBeIsPIIpXzJG5OdOh/jB2pygTJsE7pavEC+7pHPmKsr0OJByVc/rb485jGPGX7GbXXmx3/8x1f3ve99z5Q4K3L8M6v8gKn7LmhjdBlXJmeKsDjmjS0RDvk6zktZlPk9VNNRo165TJGWiBvX5XkQuZ77lHKt8zFe5pfhmVcLK3lleOaV/BxeUpbLVMrkY5wflEIXAgbAub0g8T5K8HM8m8iCsq4sU1LoWZfODjiLAVEYNQq3CGW5fJ4py++KAmPXNSpRkwkK1MLLsDI8UJ5nuYzMg7iOsBYPcljmxRFKHtTCelCLF+ctXbV4gcwLfk0uwH3nPceLklNo6cr3nIOIt2784xHHGBCNv2UAghdyLdmgHCcft01j94lnLSnkx/hTVItXCwsqefk6n5dhcazxajSXl8NqyLKZaryMFi+QeVk2wgJxzVNw7sVKy5l+VGU4nuUjfqaMFq8H68Y7EXDUgMiAssGNXY81zJLITcmW9x6Tj/CQj3PI13E+dg05LFMgzvOxRsEL5HMYk4PMC2TZMfkaDyKsxQvk6xqvpgNqvHw9Fg9avMA6uhgQKzIMiHkQBiTe4p57z7kQ9yDxTwQcMwcSGTLV8FFNpmYInI/pGwtHmQe185Bp3SMoZGpxaryIF5TDsuxBeGNhc3jBdwxkmVK+xgsK5OvMDyp1oUAOK3mBCA896+piQLx9bBnTMMbHiGIhALJ81hHUi4PE3Sb2PedSnQPJhRnnZQGjiFPjZQrUeEE1fi2shwJxXuPHEXJYKZPP4xjngXw9lzdXPjDGc8zncYzzQHmdkXlZRxx7446h1DmGHl0mRRkQ+z/swoytCGWD6tF1vOEwTNRWDUhJNYNSO4/rHF5SK75jTkdNj7AIz/wcL/NqOlCWz+dBZbyQiWONV6PMC9R4rbCgzMvntetMNV6Jkj9GNbT4mVdSDVP8EhqRPRC+h2JDle3tdqY6whxdgZyGdeJvC+FpBB0GnGUOJGis8bQoUONlaskErzyOUSBfl+dx9EyBUiZTGRbIvBJZPijQui55MMUrwwIlL85bcQI1fo7Xij+lGzapqwbxzH/4spiPTPnIDzK8mYt107BtHBaDUaLqgYyd5+tsZCKsRpkHY/Hyee06wjJK/hgFajwUacoygbjO4WVYhGeUvFKuxiupxquFBWVenI8h5LJsGQb5HMbkMsZkSvkxuTGMyWpchjK+PeqrXN7U9V6XsF70pmGXOGzeRg3HGJDS+3Cdw0p+Dmvx4jzuM0U1XTXqlQsq0+MYiPB83kNZPlDjlVTjRVgca7zadT7PYYEarwwLqqGHV6MaWrwSU7oCvA0vlXmpjvdhP0jLgGS9U7p3iXWNxr4MTdUDmdsoW5T1xnmg5NfuG8jXc/glBfI5HIQ3Vz5Q40VYyYOafKAmH+jR1cImZbd1XwbE8MX3R+1I9RX7dYYw+8S6BmAfhiNw1IAorJLGGnQ+TvFaxijLldf5PFPWl2Xy+UGppavFq1FLfooHNV6NStR4OaykjBYvUMoElZjiZ0zJjvE0IMYiPlxtAtVHhmxrzxiLv0+E5zDXCKwbb9M4iwcCOZNrFA24PI5RS2dv3N57oTGZQI2HMq/UkXkl1Xi1sKC5vFpYUImSl6/LsBKlXInML6lEi1dDS3ZMV3mtISk3H9bxZXXGgycS29rH9O8aueHPafzrxts2qkMYqDXEqQac+ZB5JYVsS2fJK3Vmfk1PKZ+pxouwONZ45Xnteg6VccvrTDWU/Hxdo8BYOJS8GmW0eDW05Fu8KZD30yq/toD41cK+cZCGPxXvILo3gaoByZQbZimDl8MCwYvwTMEvjzUKXiCHleco7hnI59DiQYQ5tuKWaMnWdLWQ5afilrzeeHOxK10HvY/4lnPDgPhamV2p+2pcB8VUug/Dc1XnQFpGI1Pw4jiXavFqYUFTvECNP0XlM0PmH4Tm6gr5EmNy5fUYStmMGm9MFmryLfToWgdlPAbET6KUJwPCA9llQ3OvkuZgKt4Uf9eY9EDGaEx+zPOoUfYYSl6NpnQH8nXJ7+HNvc7nNR5kfotKlLx8XaOMubxaWKDFK1HKlvItXg/G4gj3Rm78LnNsW/umcdBG3YqfeTX+vnEWAwK5UKfOaxT8QHmeKVA7z3IlBfJ5oMXv5ZXA26SudTHnPnOxSV0tHPQ+U/HxeSG2tfvkoR9S+zj4thrfQfW24h9Gg1Gi6YHUwmpUegY5Xpy3vIeQCcqymZfPa9dzaE7cObLrUEaNHxQorzNq8oEab0wWavI1ZLkx2Ravhay3N76X63yd3MYyO1K9G7PpPSEa9zoNPOKNxW/xMrJcj/y2UJ0DiYJqXWdq8XooDMbUEAW17pX11HRG3MwveVNhQZmXz8d4+TiGiJOpFp4xl1cLC7R4JVpymTcm08K68QJe6/eVdku6NpRtwoActLG24s3R2yu3K1Q9ECgbWK0hBnLYGAXK8xpltK7zufT5sIzKowcKsrlIeOhGIeMYOrIuCNk4L5F5JT9fB7+UCWR+TWYsHszlratrl9hEOpSrt3PDgBjGMCDrNryDNNipBj9H90HSsS2MzoGg0ojUqEcmKMvW4pX3r4Xl6zinyzjX+w9nnHHG6u1vf/tA73vf+4YvzX/mM58Z3otgTGww8vMs/xP5yEc+Mmw0it8hht6suzwvKVDjBZWoyaBALSzQ4oHwsTIp0eKVyLI1+RZvCgeJWwMD4sW6eDOXB2I+ZA6i4a/TaKfiTvEzWrKZNyazbTTnQDJN8TdFgRpvjGxdNuP+0pe+dPhHyP3vf/+BHvKQh6ye8YxnDH/Zs5xnht7uRL8C+Nmf/dnhqHdiWGp651BOcw1ZNlONl9HiQcmvyQR65QIt2cyr8adwkLg1ZD0M6HnPe97BA9FBfPrTnx7qyFQDO0hDbMXNvBq/REu25I3J7QprTaK2erja+RTVZGthQQENn2v6nve8Z/W85z1v9YY3vGGoONe73vWGX/3FNzJ5IjYUSbevVtlopFJ9+MMfPvr7zhpBPocaL4cFSl6mQHmd0cOrUQ0tXkbWMybf4rWQ9a4TfwpRF4KU9UknnTRMpPrPM+9UeImyQfYixyvjtng1tORrvPIa8vkucZZJ1DjWCjrz41jyM2UjE/xAPofyGmrxAsLol2kqB8Pxxje+cfg36i1vecvV/e53v9WP/uiPrm52s5sNYcbB8b8QvdLJJ5+8ushFLnJ06AJ0hl4uMOPDY4l5lOCHjDA8cqiUK/WETJ6POSh6dPTeZ5O6SmziWccgn/1g6mMf+9gwXPEtEENWxGCYC/GRZUPZ8vX+dRtdK95cnXN19YbtCsd4IHHMpJDyEbXk5lJNV1CL97nPfW4Yurz//e8fGqdfG17lKlcZvAyG45rXvObqSle60urc5z73kLbQFRmedYFwlY7by+Agrq/xM17EJaPS4hsaIXLC8LMeacR3zLoycjqCAjVeUA09MhktuaxnTKaGdeOtA0ZbOTz3uc9dPeUpT1m94hWvWL3lLW9Zvfa1r1198IMfHOrCZz/72dUnP/nJowYkymgOIs5YvDk65+pqyUdYjbcLHP21JVfefIBGMDBSwZfnopSVo3ZdogxryU/x9OT+RqayPOtZzxo2DvnFocmzeANThYl9ADwOPx62M9Ek6oMf/ODhWU855ZTVxS52sUFeI/dV73e/+93Dkaw4V7va1VbXuc51BneYETD8ecc73rE6/fTTV5/61KeG+xgWXf3qVx+Mlhe6VFhpY9y8Ws4L8eVwQys/QWbUpgo9nrt8/hJT/IxN6ipxkLjrQDk/+tGPXj3ykY8cvEqv8vM2lKu0eCvXMObNb37zsC/kV3/1V4chbm9ja8n16gj06JJm51O6x/g83ugod4Wz3G3MwwjEechByNTkMsqwlnyPLmReg2sqPdb9NdKQd+SV+MQdA8DA5ILKEG4oZFWGYfjEJz4xGFTusNUcvZr3Ksjpzcy5vOlNbxpWfBgZhpeh8Jd4fBO19Ki4DAnDZAxu5cd8jB6zTEMGXn6OTWFK10Hutcl0zgGPTrlf+cpXXl3jGtcYjDRjfuELX3h16UtfenXxi1988FIYffWlHMaModWIW7waenU5n9I9997bxjFDmEw5LIxGNjItgxPnPVTK5+t8nokHYmjAA+AVcFUhCkGYMbFXunkhDET0TCiDPGPBIKhovIQHPvCBqwc84AGDt8CgGCpp+LwZngd5lfbhD3/44Pnc/OY3H7wKQxdGjZFRWe9yl7sMveSv/MqvDLrci0xGfq6SauiRCbTkMq/Gb+EgcTcJeWl+yd/5TZ7f4Q53WN3znvdc3e1ud1vd+MY3Xl3ucpdbXfCCFxzkGPOW8Y66g0q0eDW05EteeV2ixc+8Gn/bGPV3ahWkDItwGDuHOdfOe69lWMw7RDijxrU1qfaEJzxh9XM/93OrBz3oQatXvvKVg0EJoxeIOIYqDIJJWEfXhj2+9M0bYazcS2/GUDBQwhguvd1Nb3rT1a1udathmEMG8U7EPd/5zre6zGUus7r97W+/usENbnDUjY40RzrysYYs34MpXeviIHG3BUZEuuS1YQvimSBv58pzHiZvcR8NrYQ0BK2LiLvP5zlqQKJSOAZlDyMoy+Tzdal2j5LiPqWsSqOiaKxc2Qgnp8fhJRgy8AY0eEOaMRji+CCvzUcf//jHVy94wQtWz3nOc4b4odc9wtBwjRmkU089dfXyl798GKYYLpm85UKbzLUCYFjz9Kc/fRgKqcR+gKRSB0J3nNeQZcYQMpnG0OJllPqC9o1ag1HetXTyVBkQq2+W7RmQQDTgoEAZnnkZNbmgki99QcHPyLIllfysJ9M+UB3CjDXqkIljjRfnUOOV/DjWeOV1hgwzWck9Bct2GjjwEC50oQutrnrVq64uf/nLD5OkjryDWkYLM8T50Ic+NCwHm/OwKe1FL3rRMJkK8oQcQ2NO5SY3uckwMffWt751MDSMiPhcZJN517/+9QeSJjwydMeka+TxGOL5WzKBXj1BxzPK8quVZ8CzMtY8RAbEnqBsQGpo6ZuDrOegOlu64vqg91gX3XMgJQVqvG1TgKGw6sK7MNdhfsKQQePkbeDzCDR652apc/wMlctmNPMb5G93u9sNu1UZAYUTk2/iG7Zc4QpXWN31rndd/fAP//DgjXz0ox8d9qNYcXEfnsx1r3vd1X3uc5/Vne9858HYmVjliZjMq6H2jDVkuTHZFq+FKb37gPwPmgPGW0/NoKsHhjA6mqyvpBZasiUvUw0tmZKXKVBe7wtNA9KikI9jLSyOZRhEeA6DHFY7Bsk8413zFIyDiU5r/1ZAuK0qj8ZsVSSDcTH0Mewhp7GrZCZJ3/Wudw2GxyTqjW50o6Hi6cHIu4dzhuq0004blpANR6597WsPno40maQzL2LY87KXvWwIM/dB16UudakhLe7D4EF+HtRCSy7zxmTGsG68bSMayLqNxDyYcnjiE584TI4rO2VtklwZKfPe5+1NR0+ae/khk48lL1Be7xLHzIFklGH5Os5bYWO8oBJj8vmYoVH7+hRvgDHhAbzuda8bevr3vve9gzEpV14MMSzJGrKoSCoU74LhCGNiLwFjoALyahgd8ykmRS3HGpIY3lim5Xlwi3kY9h3QY9hjDoWc+RcyjAbPhivNeNWeZ8EXsE6DyHGcK2fepIl0Rx6IoYzyZsR1MD1l0EoLXqYp9OoKxHlvvJbctnCOX7G+eAQaDqsdljkyN85r13PoIHFLyrp4B+ZBNEwNVaO1K1Hjj29CGHKYAzEBylPxwh0+w8HAkDOB6lr8F77whYMRMI+i57Kiw/01OWpi1NZ4HsZTn/rU1Ytf/OJhDwjeLW5xi8EjivmUZz/72cMEqhUgS8nmTm54wxsOOng/LeTnRTW0eC1M6d0X5jQAaVdeOgs7Ti2jx3yYOszbU4bKyiZA5aITMNnN2Ot4GPt8z6n7l/yW/FxeDmvFDYRMltUx6ex2iaM7UTUkPWxMREJZwWoVLsJaPJjS1Ssb5zmM4eMZaMiGGCoJw2FTEQOjQl3ykpccDAi517zmNUNPxDgYptgrgMfreNvb3jZ4HZZvGR1xGQ86DVVUUgbFvQxjFBrvxxAlPCGej8qrYvNmpIF3Ylu9CV33LZ8xMBae0SMzhoPE3SZ6Gk0JdfahD33osBOZpyF/NSBlxuOzmmZPjmEkY/H6179+mPQ29LRXxAoe2UArDXgo8m8qvevomtIZKOVDl3qlPu4SZzEgJveyAYFc4WqVL8JavMAmdI3xkMqDQiZXDuceFT+GEK5R5tXix3XIh0yEQ01PiYiPasj6SrR4Lawbb5sYe/5eiO+5agZE/bXSZYmdjJU3E+3CLeM+7GEPG4aSHG+8KLMacnhPmlsyU7p640KpC3lWnvauDUjV35GYoHydz0uq8cqwfJ3PS5ritRAZmikQ8VUa7m9UnizjXHiuWKUMZLksG/eIOEFZBvIzBWW0eFNYN962EXmxDiLuVHxzH1a6vB/jfSfL8TzC2PCnHFzzDNWBUl95n3xeIsvWZEpe7TyHZZT8FoX8PlBdhcnnh4VqKHkqh0qht4nKgYQH4jpTwHkYFhSyoQeFXJbJPHCeZbIcTD3PGL+Fg8TdFuKZ87PPwTpxDRcZivOc5zxHX+mPfDHpbr7LZLk5KZPokV/5Xplq6OFNUYkavwwLyrw4z8dd4hgPJDI7MjYfa2FxjPNAhGVePtbC4hjnJXJ4KV9SiRYvI8uNybd4GVmuJt/i9eAgcbeJXLnnIOLV4o/xSjkGxM5TE9X24tgd7BhDSsbFEMbcSGxrr+nN6JGB4JXyQWMIXpYp45Xn+Qj5fJc4xgOZOo7xAjUZKMNqcnGsYd14MMWH0LsJXT04qJ5NpWPTWLcit+L16AwZHoe5vDAOJtN5HjEvxbhY0mVAYlNZC1PpyhRh+djCWLwcDrXzfMz8XeOoAYnG06IeuR6ZMSpRk6lRDS1+5pVUwxQ/Y0q2V0+JrHed+NtCVOB1KnIrXouXUeaFIajVRIbEu0c8EjL0OFquZ0DsBQkjU+po3TvzWlRDTW6TtA8cM4RpoafitmR64geybJzXwmro4W1CV4kp2Tm6MtaNt23sq9KOQXos6duBbDXCkrvJU4i5EMv2vBLL+AyI+bL8HK1nqvHWjduK19IDNfmgXeOYIQw3z7FGgRqvh3LcGlqytbBAhNV4gczLx1I+wmq8GlqymVfjt7BuvG3jIJU1xy3jt3g1hEwp+x//+Z/DTmP5ZnOfTWMQcgyKPTnqOUPDiDAuULuvsKDyugyrIctmyrx8PnYNOSxT8PaBqgeSK+8UlfL5Op/nsIySl68z1dDDq1ENLV6Jlq4WbwoHibtNlJV1DlpxW7waWvIR7mXKTxiefOYzw8aqLz7HOVb/m+TlLQ+Ed2IOxGZAw56MfJ8WlajJBE3xD0r7wjEeSFl5pypzS34qbok58i3ZVppq2NZ95+AgcbeJfVbOOfi/I/n3f0c8ic9/9rOrTx3xQLwL9b4zzlj9/T/8w+q//+3fVv/nBcYjz8LzsArjNQUGxM7kcvNk4KDPnuOXunp5gQgb49XCd4GzTKIGnG+CStRkWhRo8TJqcihQ46EaanIo0OK1UIuH9o2ohCX1ohYXTfFK1OSCAvn8SOYNhmN1xECc48iQ5OvPda7VD97qVqsL+TLckfAv9yrBEZlznfe8R3cg80B8y8UrCwyIHa3lvcaoRE2mh3LcQI1XUo0XyOe7wqgHUjvvoRoyL8uWVMNYOJTxg2oYC69hSnaOruMBB614rfi9uslNyWaZo7LK4sj5VxwZqnzJEaPwFRe96OoGd7zj6om//durH7rFLVYXvcxlVuc4//kHUcMZxAMxhLFaY1eqidfQnWkMpUztfIo3RS35Md4+sNYcSJapIctOUcYUH2oyQRktXg0t2cyr8adwkLjbwroVL8erxW/xSkzJZX5JR+H8yLDk6y984TMDvoBvvsIVVhe/wQ2OGo+AErAvxMuSlnhtaTeU4YXAWXQnxH1NuMb5pinfp6QWL2gfqHogrYrew8/I1614PejVNfc+m9RV4qDxjydsshKXjWJUt/AjeXyek046M6AN5eFTClZjTLLyQLw17W3rsU8sxL1raWilcTTNR3AQXS29u8bkEKakMWR+KZ/PS5SyGZkX/HxeosWrYZO6AhFv3fjbgApXUi964rV4GVnPmHzJa8kexRH+l55r/IPZJeiL8vGpBh+i8q2QQNwz3zsfa7walbx8nc9bYUGZl88z7QNdQ5gSJX+KMlq8QCmTKaPFK1HKlvItXg/WjbdtrFuxWpUyeC2ZwJRc5pdUYoxnKOIFuR7ExjGrMeLZUOajRIyIb8mEF5LvdRipTGNc7xrHGJB1G0/goI2oN/4mG+uu0rxrrFuhWvE2WUk3pauV/+7wX0eMhv0hhikx1wHmM3x4yFfqfIXuVa961dE/EObhzLr5UfLydS1ehLV4gVJXLc4ucNSAKIRMGSWvpCxTQymbkXkl1dDildikroysd53420BUokw96InX4mVkuTH5mkymQIuXIbxWBv9+xGD8+xHj4Psg//X5zx/dLBa6GBKfnmRY8AxlfE/XrzdsLhtbmWlRIF+X/DFephqvDMvXcb4PVIcwGVE4ZYPJ1xEWaPEySrmabA6v8TNCNscJlOElfwpl/MOCXInmohUv9PboniMXxzH5ObpCjpHQ4AMD74hRGPaHnCmTdTIYvgXiu6nK06YyPwszseoj2H6K7luqGfl+cV5e5/MeaskH4rq2+hMor3eJYyZRA7nBRHh5ndHLK6mGGn9MFkrZjBqvpSsQ8Wrx94lcgeZWmqm4LV5GlhuTLWVCLo6BmkyJUibLxbmhB7jOw5QsH0fDFq/8mwNhPPxX1799fBLxspe97GBgvCMTv38IHaWusbB8XtJcXoTFMZO05fTtA9U5kPxCXaDViObySt0ZLV01zL13D9aNt20cpJJMxe3V3SOXZZxnyiivawiZrCNTIHaU8kZiojTzIa7NhTAOvg3iS/k+MsSouPaPYx/gZlyEaaAlst44z/crjxk5rOS35PNxjPaB0UlUx0wZLV4g87JshAVavBpa8i1eD9aNt00cpIK04mZejV+iJZf1lFRDD6+kGi+jlMnnmSAmU694xSuuTj755GFbOwPkQ8y+FeIrZsJ8FlF9qOkJglo4qvFyWD6vXWdq8dC+UB3CjDWiVgMLXo1qaPFKbFJXRta7TvxtYd2KkePV4rZ4JbJsTb7kZ8qY4kNNpkYlxsKmCOJXHOY+GAvLueHF2GBmPiS+cF6LX4atSy1deXjSO5SK8F3hqAGJBjTWkFoNrORNNcYpfsYmdWWsG2/bWLcCbLLi7LIStu41Jx2l7Ni1hsg4+Liy76b6tYN/Alm2tSrDkMQcijhBGfm6xauhR5fjGAXydcnbJWZNogZqvPI6I/Nq/BIt2cyr8VtYN962ERVgbiWYipf5YzKBKbnML6lELy/4ZVhQiZoMyshhpYwjA+JdGIaDpxEGJX754O+GVnTUkRw/U+gqz3uuS8r8fD7FC8qeyT5QnQNpNbDMC9mafITVeDW05OfqCpBfN+42kQt8bsFH3Fa8KX6gRxdkuTH5KV5GlovzHFZDKR/nJUq52rVFghiehAHxq0vnNpXZGxL1JccPhJ58PnYdyOGZsgHI55nK+KXRKI+7xDEGZAy5MUKrQQavJZPRkp+rK5Dl58bdJnIhzy3wHvlenb26glpo8YNX09WKF8hxxuJmGei5jkbomA2I32HyQBiZiJOPQfk6MHYdYWO8kjK/dh7HkvaBUQOi0bUoo8WroSXf4vVi3XjbwkEKuRU388ZkMlpymVdSDS1+jZfDSsqo8YPG+Bk1Pip5gTAgvp8K3oexFFyLEzQWjubyamE9VIu3DxwzB1I23PI6o8XLCLkx+RZvCjnuujq2gXULNscbi9viZWQ9Y/KZl2UjLDCXNxY2hlI+qOQFxq5zeE8Y8uNt/8/1AWYfGTKRaqkXL1DGCQqUYXGehxvZ64mwTDleD2X50LlrjM6B1Bpji1dDS26OnhoOEncbiIIMmoOpeJk/JhOYksv8kkrM5eWwGgVqvKBAjZcpkM+hlOsh9YgXYjXGBKufc9uJOkfflOyY0Zgi8cbi5vB94RgPZBOYatwHvc+m0rkpbLMAN6l7V+ls3afkua6FxXFMvsZroSYfYRoiWNrliXzyk58cvg8S8rV4JbJs2bCzfA6rUfDyEbJMScHfByYnUcMYTDXaKbkpfgs57jrxt4GyAOcgxx2L3+JlZD2lfMmrUaDFgxo/U5apoSZXu85hcazxeijL5vOxMMbD8i4DYldqyARCLp+jMBhjnkIp30sRb0xvpjCCu0bTgEw11uDX5A7a2Fu69wUFlY9zEYVdQw7v0d/SlRFyLdkePRBy+ZhpDJlXysV1TabFg3weEJbjledxDZkHNpb5VuoHPvCBYRgDUf/KeFPUI5dl8nlQaTgCOQyF8cgyu8LoJOpUww1+TS6H9egaw7rxtoEonHULqRUv6+7RP6WrVw/M1RXnvfGyfI2CF8deXoQHyrB8PcYLigbodw/+netv/jaZqX+lbBCU5+WxRsGLY3leo0C+zsccvmtMDmECYQiCamjxppB1r6tj01i3cHK8WvwWr0Qpm+VrvJIyWvwar0U11ORKCtR4PZTjZmSZzK+d1whsZ7/0pS+9etCDHrS63vWuN7zVi8ITyB5B6R0EQS08U5bJ5yWVvLF7on2hy4D0NOiDNPrDYjB2gW0W9iZ1l7pauvGCX5Nr6ZrDgzH+HFmoyYM3cL2NywshE3L5mOOWMvk8jnEOzscMUfADOayH9oGuSdQx4AXNQY43N+62cNACacVr8Wpoydd4Y7JQkw9k3hSVKHm18zFqyWRePh+jjBo/aIof5GNCvgPihboaH/XqOii17lPywhDtGscYkKnG3eK1sG68bSMKYB1E3Fr8Fq9Elq3Jl7x8HWGBFg9KflCgvM7I8i0K1HhzqaUneHEsaSwclbwxryAoy9f4tTBUi5fDWlTqzPFKXftClweybuNfN942EQUQNBetuC1eDS3ZrKukGnp4JdV4GTVeGRY0lxdhcazxateBkh/I4cGrnefr3FDHDEEtPIeFrjEa05vj1dIxdV/nWceuUTUg0eDXbfiH0Wjk4xzkOGX8Fm8KLfngOfbonasrzuO6hhovxw/UwsB1Ly9fQ+vaMTcaQw4vv+VGlZHjjVEgX2d+pnzvjFImjnEeyHIlBWq8rCuH5fN9oDqEycc5OGyGI0Mmz0XEiULKaPFqCLmafI1XymTU5AM1XinTQhmvRoE4z8dMERbHGmWU4WPXcQ62oPsModfzS7kpKhskyvFr5+WxRsELlPzg1c5LCl4ghwXl59g1vujITY/edW4CTiRjEWjFnau3V1eP3nV1Teluyffo6pWfo6vFA+fxuv073/nO1Yc+9KHVDW94w+GN2vi9Q6mrjB+o8cF1LSxQizdHfh2e9uYYFGBALEF7fp9q3GW7XNuAnIjGA1rx5+ieo2dK77q65uptxa3p6pXfpi5vznqD1hZ0L8KFK0+ulIVSV3kdKOPGdXmEMVkYi1eTgV75fB0GxFflD7UBWTyOcUzJlvyD3LdHV4/+qXglv3W9TV1TPBS9c4TlY0YOc15el4iw8gi1MGjJ1HhQk8t8GOOZB2JA7KI9dAbkMBqNWjrnoBV/ru5eXT1619XVGy8a2RxdLVmIsBYvsCldJd9zxTwAtGRBWE0WxuJOyffGa/HAeU0GSvk4ZgNiPmiXbXZ0GVciTkTjsQ/0pLklk3ml3Jz8IBvy+TzQ0lXjZV0lWrrX1eVYEsOhATkPmUAOG6NAjVejMdkID0M2RiFXI3HH4kd4yORrx33hGA/kRDMarbhz9fbq6tE7N10qSi9aaWnxQBiKetCSb/FgjvwYL8574tZkYSzuOvGmZGv8nrCxI0zx1A2rUL4sv2sP5CwG5DDhoMlqxZ+ru1dXj951dU3p7o1b09MbF3plSx6sE3fOeXmEfA698QKlfHkdiPPyCGNhNRkY442FMSCGMBe5yEVWJ5100tnXgKyblKl4c/S2ZGu8ufKBKV2tuIGQmaurJb8rXS0elHIt+ZpMKd+SGYuXz8F1LQ7UwnNYGZ6vYYxfHqE8N4TjgTAgF7jABXZqQCa3sh/vyJm9aWxS91gFGUPI1GRbulryu9JV05N5mSIso5QJCpTnYxT8QA4rz/XyMd9Q8loUcUr5fJ315vNMWT6olqZdY28eyCZu29IxV3+Prh6dUzItXa24LfkpXSW/dT2HB71xYUy2dj7GB9c1uUAZt7wuEWHlEXp44LzGa4U5Zj6UMjAmH9eMCA/kohe96M49kJ0bkHVvNxVvjt5eXQrCeUu+l1fqasULkGmloaWrDMvXc3iwKV1jvDjvka/JzokHY/JTsmNyjlkOShmoydf4UPJb8j56xIBc/OIXXwzIGFrx5uqco2vd+9Z4ETYWT3gUvvMsV8Zp8WCOfC8vEGEtHozJ5XAURjKQ+YGQzZiKA7XwlmyLl49Qky/5+QjOW7JQk6nJxjHmQC5xiUsMn2U8oQzIQdX3xN/kPTZ1v5pMGTalJ/Nb+lq8EmX43OuMluzYOZS87GXl84zWdZxPxYGa7Ng5lLyeeHFeHqE3DrTCAq5jI9kJuYy7ZfUbw6bTuQl9B9GxTtxdxBmTn6NnSnZTaSqxbtp79LdkevQzGj7HeM5znvPM0N1gb5OoC05sLNVq99il5xFYDMiCBQvWxgm/D2TBggXbw2JAFixYsDYWA7JgwYK1sRiQBQsWrI3FgCxYsGBtLAZkwYIFa2MxIAsWLFgbiwFZsGDB2lgMyIIFC9bEavX/ANabEXnTLi+nAAAAAElFTkSuQmCC)
A ray of light is incident at the glass–water interface at an angle i, it emerges finally parallel to the surface of water, then the value of
would be
![](data:image/png;base64,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)
The PV diagram shows four different possible paths of a reversible processes performed on a monoatomic ideal gas Path A is isobaric, path B is isothermal, path C is adiabatic and path D is isochoric For which process does the temperature of the gas decrease?
![](data:image/png;base64,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)
The PV diagram shows four different possible paths of a reversible processes performed on a monoatomic ideal gas Path A is isobaric, path B is isothermal, path C is adiabatic and path D is isochoric For which process does the temperature of the gas decrease?
![](data:image/png;base64,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)
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of If young's modulus for copper is
What will be the length increase of the wire?
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of If young's modulus for copper is
What will be the length increase of the wire?
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
What will be the nature of change in internal energy in case of processes shown below?
![](data:image/png;base64,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)
What will be the nature of change in internal energy in case of processes shown below?
![](data:image/png;base64,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)
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means