Physics-
General
Easy
Question
A ray of light is incident at an angle i from denser to rare medium. The reflected and the refracted rays are mutually perpendicular. The angle of reflection and the angle of refraction are respectively r and r’, then the critical angle will be
![](data:image/png;base64,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)
![sin to the power of negative 1 end exponent invisible function application blank left parenthesis tan invisible function application r ' right parenthesis](data:image/png;base64,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)
) '/>
The correct answer is: ![sin to the power of negative 1 end exponent invisible function application blank left parenthesis tan invisible function application i right parenthesis](data:image/png;base64,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)
![D mu subscript R end subscript equals fraction numerator sin invisible function application i over denominator sin invisible function application r to the power of ´ end exponent end fraction rightwards double arrow subscript R end subscript rightwards arrow over short leftwards arrow mu subscript D end subscript equals fraction numerator sin invisible function application r to the power of ´ end exponent over denominator sin invisible function application i end fraction equals fraction numerator 1 over denominator sin invisible function application C end fraction](data:image/png;base64,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)
(as Ði = Ðr)
![rightwards double arrow sin invisible function application C equals tan invisible function application i rightwards double arrow C equals sin to the power of negative 1 end exponent invisible function application left parenthesis tan invisible function application i right parenthesis](data:image/png;base64,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)
Related Questions to study
physics-
A fish is a little away below the surface of a lake. If the critical angle is
, then the fish could see things above the water surface within an angular range of
where
![](data:image/png;base64,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)
A fish is a little away below the surface of a lake. If the critical angle is
, then the fish could see things above the water surface within an angular range of
where
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQwAAACjCAYAAAB/sSAcAAAgAElEQVR4nOxdd3gU1fp+d3a2JZveeyEJHZSOijSRxNBUEOW5UgR/ioqIDUQsiKLChYsKePGKuaKAgJCEEhADIiWIlBBCSK+EJKQn28vs/P7gnjHJzpZAIAH3fZ59dpPZ+fbs7JzvnPN973k/AcuyLBxwwAEH7ADV2Q1wwAEH7h44HIYDDjhgN+64w3j//ffxySefQKlU8h7/7LPPIJfL8cYbb6C5ufkOt84BBxywhjvuMBISEvDFF19Ao9HwHs/JyYFKpYK3tzdomr7DrXPAAQesQXAng57Hjh3DpEmToFAokJSUhPj4eDOnoNfrYTQaIRaLHQ7DAQe6GO7oDGPx4sVYtWoVnJ2dsXPnTqhUKrP3iMViODk5OZyFAw50Qdwxh3H58mX069cPc+bMgYuLC7Zt2wa1Wt3qPWPHjoVMJgNFUfjyyy8B3IhpeHt7QyAQICEhAXPnzoWnpyeCgoJQVFR0p5rvgAMO4A46jG3btmHChAmQSCSYNWsWACApKQk6nY57z+HDh7F27VoIhUJotVpoNBosWbIEn376Kdzd3fHcc89h/PjxiImJQUVFhZnDccABB24v7ti8f//+/Xj55ZcBAE899RS+/vpr/Pjjj5g+fTokEgkAQCgUIjo6GmKxGABAwivdunUDwzB47733EBsbi4kTJ8JgMEAul9+p5t8RGI1GNDY2oqmpiXsmj+bm5lb/a2xshFqthsFg4B5Go5GLAbX8f9sHwzAQCoUQiUQ2HzRNt/rbyckJ7u7ucHNzg6urK/eaPFr+7e7u7lha3mO4I7/m4cOH8fTTT8Pf3x8AMGDAAPTr1w8nT55EXl4ehg4dCoFAAADcc0uQ/8lkMtA0DZlMBplMdieafsswGAy4evUqysrKUF5ejqqqKly/fp17Jq8VCgUkEglcXV3NHi4uLtxzQEAAunfvDjc3N8hkMq5Tt+zY5O+2/yPPFEXBZDK1cizktdFo5B4tj5G/1Wo1FAoFmpuboVAoUFpaiubmZu5v8po8dDodXFxc4OfnBz8/P/j7+8Pf3597HRwcjNDQUISEhEAkEnX2z+WADdwRh7F9+3Zs3boVH374IQQCAQQCAbcUOXDgAPr27QtnZ2ebdliWRVdkspeWlqKgoAAFBQXIz89HUVERrl69iuLiYgCAv78/goKCEBAQAF9fX/j6+qJ3797w9vaGj48PvL294ebmxo3GAoEAFEVx18rag7y/5bO115bQ8rryvW75bOthMpm49xsMBjQ3N6O2thY1NTWoqalBbW0tqqurcfnyZVRWVqKiogKVlZUQCAQIDw9HWFgYIiIiEB0djaioKERFRSE0NLT9P4wDHY7b7jDq6+shlUqRl5cHV1dX7kZydXVFYGAg/vOf/+DVV1+1y2F0NgoKCpCZmYmsrCxkZmbi0qVLqK6uho+PDyIiIhAeHo6IiAgMHjwYgYGBCAoK4hwBRVGtHsQpkEdno70Opj0g18dkMnHOhLwmD7Icq6iowLVr11BaWor09HQkJSWhqKgINTU18PPzQ79+/dCnTx/uERUV1aFtdcA6brvD+Oqrr9C/f38EBARwsQqC5557DqtXr0ZiYiJmzZpldrwzUVRUhDNnzuDcuXP4888/kZeXB19fX/To0QMxMTGIj4/H66+/jtDQUC6zIxQKuQf524EbsMcxenl5ITw8HCaTCQzDcA+TyQSNRoPS0lLk5uYiLy8PW7duRXZ2NmpqahATE4OhQ4di0KBBGDp0KCIiIu7Qt/r74bY6jJKSEqxduxZHjx5t5QxYloVAIEBcXBy++eYbLF++nAt+SqVSCAQCSCQS7hzyP7FYfNtmIrm5ufjtt99w7NgxHD58GL6+vlysZenSpejTpw9cXFw4h0BiBF1hdnAvgVzftvEMd3d3+Pn5YcCAATAajZwzaW5uxuXLl3Hp0iXs3bsXH374IWpqavDoo49i1KhRGD16NGJiYjrp29x7uG1Mz+XLl2PNmjVQKBQQCoUIDAzE+fPn4ePjAwAYN24cjh8/Dr1eDwAQiUSIjo5GUVERtFotAGD27Nnw8/PDt99+i7q6Os52bm7uLd8EJpMJx44dw969e7Fr1y54enpi+PDhGDJkCIYPHw5/f3+zbIEDXRNts0JVVVVIS0vDmTNn8Mcff6CxsRHTpk3DpEmTMGrUqA5fcv2dcNschkKhgFqthkAggMlkAkVR8Pb25kbkuro6GAwGLnhnMpkgFAphMpm4v6VSKSiKglar5WIfDMPA19f3pjvwhQsXkJCQgMTERERHR2PcuHF45JFHEB4eDplMBrFY3KWWRg7cHHQ6HfR6PTQaDYqLi5GamorDhw+jqKgITzzxBGbPno3777+/s5t51+GO7iXpTOzevRuff/45BAIBYmNj8fTTTyMgIABisRgymcwx6tzDYFkWGo0Ger0eFRUV+Omnn3Do0CEIBAIsWbIEjz/+eGc38a7BPe8wUlJS8O6778LPzw/jx4/H5MmT4e/vDycnp85umgOdBLVajcrKSiQnJ+Pw4cOorq7GypUrERsb29lN6/K4Zx2GyWTCBx98gOPHj2PmzJmIi4uDl5eXY7nhAAedToe6ujocOHAAW7duxciRIzmukAP8uGcdxosvvgiVSoXFixejR48ejqClAxZhNBpx5coVrFq1Cm5ubtiwYUNnN6nL4p7MCW7YsAF1dXV4++230adPH4ezcMAqaJpGv3798NZbb6G6uhpff/11Zzepy+KedBhJSUmYMGECunfv3tlNceAuQs+ePfHYY48hOTm5s5vSZXFPOgyDwYAePXpwu17bwtYqrDOP27Nf5lZWkbf7u91O3O62C4VCeHh4gGGYdrftbwOWZdkVK1awfn5+rJeX113/8PHxYQGwY8aMYXv16sV6eXmxnp6eLEVR7LFjx1iChIQENiYmhnVzc2M9PT1ZgUDApqWlcce//vprNioqinVzc2Pd3d1Zf39/9vTp09zxdevWsREREaybmxvr6urKduvWrdX5q1evZkNDQ1k3NzfWxcWF7dOnD3vq1Cnu+Lvvvst6eXmx7u7urFwuZwcPHtzq+JIlS1i5XM56eHiwzs7O7EMPPdTq899++21WJBKxnp6erJOTEzthwgQ2IyODO7548WLuuEwmYx9//HE2KyuLZVmWVSqV7OLFi1lXV1fWw8ODlclk7LRp09i8vDyWZVm2vr6efeWVV1ixWMx6enqyUqmUnT59OltaWsqyLMtWVVWx8+fPZyUSCevp6clKJBJ29uzZbHNzM8uyLHv16lX2+eef545LpVJ21qxZrMFgYFmWZYuLi9lZs2axUqmUOz5z5kyu7dnZ2eykSZNYJycn7vg//vEP7viVK1fYRx99lHV2dmY9PDxYV1dXdtasWa2OjxgxgpXL5ay7uzvr5+fHLlq0qJX9gQMHsq6urqy7uzsbGBjIvvfee6xSqWTHjx/PCoVC1tvbu9Pv5Y54BAcHs0ajke0oCFiWZbOystDQ0NAld4LeDNzc3DBjxgxUV1djz549CA8Ph1KpRGhoKJdObWpqQl1dHYxGIwQCARiGQVhYGLdtvrGxEXV1ddxoQ1EUgoKCuOP19fVoaGjgjhM2a8vj9fX1MJlMAG4wWf39/bnjNTU1aGxs5K65WCyGn59fq+MNDQ3cd5JIJPD19eWOV1dXo76+niO7OTs7w8fHh8sC1dTUoK6uzuLxV155BY2NjfjnP/+JpqYmyOVy+Pj4QCwWg2EY1NbWorGxkdsKL5fL4evrC5FIBKPRiNraWjQ1NXHHXV1d4efnB4qiLB739/eHQCCAwWBAbW0tmpubWx0PCAgAcEPXtbq6GiqVijvu4uKCwMBA7vj169c5YiAAbus/OV5ZWcntiBYIBHBzc4Ovry93vKKiAnq9HgKBADKZDAzD4KuvvsKaNWsQExODnTt33hOq9RRF4cEHH+wwewKWZVmytfheAU3TyM7OxuzZs+Hl5YUvv/wSw4YN6+xmdSm89tproCgKa9eu7eymdDrOnDmDlStXctsSJBIJzp07h8bGxs5u2i1DIBDAz8+vw+zRALjtxvcKGIZBTEwMPv/8c7z66quYMmUK4uPjMXXqVMTFxXV287oEyMzq7wqWZXHw4EFs374dZ8+eRVhYGCQSCV577TV88skn3Oa2ux0d/Rvfk0FP4IbTGDFiBObNm4fg4GAIhUIsXrwYsbGx+O9//3vPLL9uFkRP4u8Gk8mE7777DrGxsXjzzTcRExODN998E9euXcNrr70GPz8/NDU1/a2dqTUIWJZlKyoq7skORFEUGIbBW2+9BZlMhhkzZiAvLw+//fYbMjIyMGDAAEycOBETJ06Eq6trZzf3jkKhUAC4sfa/19HU1IR9+/Zh3759SE9PR//+/TFy5Eg8+OCDUKlU2LRpE9zd3bFs2TI0NzejpKQEffv2vWdmGCT20yH27mWHAdwINl69ehXz5s3DnDlzMH78eGg0GpSXl3M6Cn/88QfCw8MxcuRIjBgxAiNHjnSI39zFMBqNOHbsGE6cOIHjx4+jrKwMw4YNQ79+/dC7d28EBgbCy8sLLMvi+++/x6lTp/Dtt99CJBJxu6Xvlf7gcBg3AbFYjMTERGzYsAGrVq3CwIEDYTAYoFQq0dzcjIaGBhQUFCAvLw/5+fnIyspCaGgohgwZggEDBmDAgAFW9TfY/wkC3S1o2d67re18yM3Nxfnz53Hx4kVONrF3796Ijo5GTEwMunXrBk9PTzg7O3NZF5PJhF9//RUfffQR1q1bh+HDh0On04GiKIhEIuj1ek7ugK9vsCwLlUp1x2YhRFRKKpVa7KsqlQpGo9HsvNvqMEijLDVapVLBYDDYZdyWLbVazQno2AOxWMxpZLS9aAKBgNvCzHdMIBBg5cqVuH79Ot555x1ERESApmkIhULuXKVSCZVKhcbGRuTl5SEvLw+lpaUoKSlBXV0dgoKC0Lt3b/Tq1Qs9evRA79694eXlBQBIS0vDBx98gPz8/FY3JcuyUCqVWLhwIRYuXAgPDw+r37EjO7A1W+vWrQNFUXj11Vc75LNuBoWFhVi+fDlSUlI4iQEi5Wc0GjF8+HB88cUXnNp8bW0trly5guzsbFy5cgVZWVmoqKiAt7c3IiMj4ezsjKNHjyInJwfAjfvPxcUFMpkMer0e3bp1wyeffIL77rsPeXl5eP/99zFo0CAsWLAARqMRFEWhsrISJ0+eRGxsLFatWoXExESzDYsMwyAgIACrVq1C//79zTopcOOek0qlkEgkvPejyWSCWq3mPZfPllarxYYNG7BlyxYzNTKWZSGVSrF27VoMGzasVQLjtjoMiqKQkJCATZs28X4Rg8GATz/9FOPGjbM5ZReJRPjxxx+xYcMGTkGrJXQ6HT788EPEx8fzXtS2EIvF2LVrF7766iveoBQpevTEE0/AycnJzB4pjvTyyy9jyJAh8PT0REJCAioqKjinQW5YtVqN//u//8PkyZMhFAqhUqnQ0NCAqqoqVFZWcs/l5eXQaDQIDAyEu7s7xGIxAgMDERERgeDgYISEhMDFxQUMw8DPz8+msyA4ceIEPvroI1y+fNns5lCr1Zg9ezYWL17MqZdZw7lz57B8+XKcPXuWY74KhUJUV1dDrVZj/vz5WLZsmd03VVZWFj766CMcO3bMrCNptVo88sgj+PTTTxEWFmaXvaqqKo6v0dzcjPLycpSXl6OoqAjV1dUwmUzcNXdyckJwcDACAgLg5+eHwMBA7ro6OTlBLBZDpVJx8RmS/WP/x56VyWSIjIyEVqvFN998g/LycqxZswY0TcNkMkEkEuHPP//EO++8gxMnTiAnJwd1dXW8TlcsFiMsLAzOzs68DqG5uRnr16/Hjh07zBjHLMvCw8MDq1evxoABA+yapZhMJlRVVaG6upq3PRRFISIiwqxWz211GAKBANevX0dlZaXFaVh4eDjc3d1tjoICgQDV1dWorKzkTdmyLIvQ0FB4enraNaIKBALU1taisrKS15mZTCYEBwe3UvVqC4lEgosXL2L+/PmYM2cOBgwY0EoSv6WtoKAgTtmLrGlJNTaNRsO9VigUqK2tRV1dHRoaGlBfX4+6ujrU19ejtraWcyIBAQFcPQ4fHx/4+vq2em6L0tJSrvYsueFZlgXDMPDx8UFQUJDNawbcmKaWlZVBoVC0Ijl9+OGHYFkWX331FTw8POyuCWIwGFBeXo6mpqZWjpbY9vDw4AhULVFTU4Pq6mpUV1dzr0ldFlJqQK/Xw9vbG56envDy8oKnpyc8PDzg7e0NLy8vbrYgk8kglUrh5OQEiUTC/T5k0LN2P2m1WiQmJmLz5s345ptv0K1bN26WKxaLcerUKSxYsAC5ubkcsYwP5LewNNAxDIOKigrU1tbytoemaa6D2xsOIOLSlmA0GnmdV0c6jFbbOFmW5WpoWAJRcbYFlmW5UeBWbRF7Pj4+3PT0ZuzpdDr069cPzz33HFJSUjBu3DjExMS0KtdI0FK5moDI95GZAll66PV6aLVa7kHk4fR6PZRKJRoaGriqZTk5OTh79iw3EpKCP3q9HlKplKsm5uHhwVUXI8/kUV9fj/Ly8laFjNpWKSMixRKJBD179jT7fhEREZzcIQDeokVtCxwZDAZotVoolUou/qNQKLjKbKQ6W0NDA/c/QoQihZhcXFwgl8u556ioKAwaNAgeHh6Qy+UQi8Xc0pMsaaVSKcRiMXe9yf1AOm3b380SJBIJioqK8NNPP2Hu3LmtnEVLkCXvrXAxhEIhwsPDERkZafE9fB3cGroCN+RvEfRsCZJqfe+990DTNBYuXAgfHx+71pKW0LaoUMvXDMNAr9e3ciKWShjqdDpu5tLSAbV0RC2PGwyGVo6NvG4r09/2QVEUSkpKuNKULMu2KpHQtlRCy2eRSMSN8OTRsmNLpdJWxyUSSSsxZbFYbPa3RCKBWCyGUCg0K5jU9vXNQiQSoaqqCl988QUEAgGWL19ulg0Ri8U4fvw45s2bh2vXrrWi5t+tcGRJOgA0TaOpqQkvvPACxo4di2eeeQZOTk63je1qrUpZy+kq6dAtZfTJa77/tVyft3zd9sF3jCy1SBrRWqW1lseI8yABY/LM97+2ZRhaOoC2z7fz/iNxqe3bt+Po0aPYtGkTXF1deTMKSqUSZWVl6NOnT6eP5h2B27ok+bvAaDTC29sb8+fPx3vvvYeIiAiMHj36tn1eezoERVFckKy9pQ/tjQW1bZs1WDre8v+WXneFKTRw4zufPXsWP/30E5YtWwYvLy9oNBqz97EsC7lcjn79+tmdCfy74W/pMIAbwa+HH34YU6ZMwdatWxETE4Pw8PB2pXlvByx1vo4GyXJ1hQ59OyEWi1FSUoIdO3Zg/PjxGDVqFG/WjkAgEICmaW4nqwOt0a4liUQi4a2aTtJIlm4+cl7bNSPhYvAFHVuCZVnOhiUOhkKhsBmHaGuHoijodDq8/fbbcHFxwSuvvAIXFxerNxSxQ8oTtFx3E1AUBaVSaZfzsceWSqWyeY2ILRJjoGma9zpptVpQFIV//etfEAgEeO2117hsTFsIhUI4OTlZtKXT6aBWq222i9giQVo+W3q93mI72oKiKIukKrJ9XqlUQigUoqmpCQkJCcjLy8PatWshlUpbSRa0tCMUClFWVoZ9+/Zh0aJFUKlUVre4k63xlrgWpDKbPSC8DT5iFlk6Njc3t3sQ6bQliVAoxJYtW7B582az6ZpOp8NPP/3EW2FbJBJh+/bt+M9//gONRtPKa+t0OrzzzjuIjY21yKgDbjicxMREbNq0icvZt4RSqcS3336L++67z+oFlUqlOHDgAL7++mvU1NRwJflKSkqg1+uxa9curFu3DkOHDrVpJzU1FRs3bkR5ebmZZqhCocCKFSsQHx9vczkilUpx8uRJbNiwAQUFBWbpTYVCgbfeegszZszgTQG3vU7nzp3Dhg0bcPnyZbP8v0qlwrx587BkyRKUlZUBgEW9U7FYjMzMTGzYsAHnz583s6VWqzF16lQsWbLEZrtEIhHy8/OxceNGnDx50iJ/Y+XKlTZt0TSNq1evYuPGjThy5IiZLb1ej0GDBmH9+vUwGo349ddfsW/fPnz55ZeQy+Wc4yVclK+//hopKSmcHYPBAIVCgY0bNyI6OhqbN2/mpYpTFIXGxkasWrUKSUlJZteHYRgEBQVh69atvANBS5CB84svvsDOnTt5iVmurq74+eef7eIs3U7YPcMQCAS4evUqSkpKzIKDJpMJQ4YM4a31QVEUdx5fCqx79+6c8IolUBSFiooKFBUV8c4ijEYjBg4cCDc3N6vfgaIoVFVVoaioCDqdjnNeUqkU2dnZWLVqFdavX49x48ZZna1QFIXq6moUFRWZOUHSnl69eiEgIMDmdaUoCnV1dSgsLIRKpeK1FRMTg5CQELtsNTQ0oLCwkJdDwDAMwsPDcf/992PhwoUQCARYu3Yt7yhIURSamppQVFSEhoYGXltBQUHo3r27Xe1SKpUoLCxEXV2dmS2TyQRfX1/07t3brvtQo9FwxC4+Wx4eHhg6dCiys7OxbNkyPPLII3jhhRdazfjIDKmoqAhVVVWgKAo0TSMrKwsbNmzA5s2bAQADBw602A69Xo/i4mJUVFSYtYMQxQYPHmzX0oZhGBQXF+PatWsWeRvDhg1rdy3fTs2SkMg3H/go2facRyL+9nw2IQrxgaQYbYHcGG2DiHq9Hp999hlqamrw5ptvIiQkxOqSgs9OS9j7vW6HLWsEH4Zh4OzsjJdeegkCgQAbNmxAU1MT73vJet6aLXvT0bZsmUwmuwONtmwJhUJcu3YNX3/9NZRKJT7++GOOzdnWDrmvgBuzqhMnTmD+/PkoLi5GfX29zWUlyQjxgWXZdsXEOtIWQadmSW426t0R0fKOirgTolVb0DSNBQsW4PXXX8fu3bsxa9YsuLq6WvxMS3Y6sk03a8uW49Tr9ZwCmbXPZVm2w7IFd8oWRVFQKBQ4cOAALl++jC+//BISiYT3/SzLckQ14C+ynkQi4fYl2ULL828VHWnrduGeFdBpL4xGIzw9PTF//nwkJSUhNTWVKxZ9r0Gr1WLMmDEYO3aszQDv3QaKonDx4kXs2rULM2fOREhIiN2Oymg0onv37li/fr3dAdi/GxwOowU0Gg0GDhyIp59+Gjt27EBJSYnFUgV3M1iWhbu7O9zc3O4pwp5YLEZ5eTl27tyJYcOGIS4url0OkQQXBwwY0OVH+s6Cw2G0AcMwmDVrFiIiIvDjjz+isrLS7o1ZdxMITf1egVAoRGNjI5KSkqBSqbBw4UKb2Qk+kPjIveRIOxIOh9EGJpMJUqkUb731FoqLi7F3714up3+vwNnZGd9//z22bNkCZ2fnzm7OLYNwHo4cOYLdu3fj+eefh5eXV7tnCUKhEOXl5di0aRMv38gBh8PghcFgQFBQEGbPno3t27fj5MmT94QyFQFN0ygsLERhYeE9UXdWIpGgpKQESUlJmDx5MoYOHXpTsRmSdv/xxx/N+B0O3IDFu4XsOrQElUpl95S2JdOzLYiKl71MRtIuS7YIc9SeKWVb5mdbW08++SSysrKwa9cuxMTEICoqymI7CWPTycmJN91HWJYajcbutrVkgPLZ0+l00Gg0NrMibRmgTk5OcHZ2hkAggFwuh1AotNsW0JoBygeDwQC1Wm33Zj7CArVE3jMajVCr1bwZK5qmcf36dfz8889c0NrSNQNuLDktSesJBAIYjcZWAk0CgYAT5+GDyWTilcZraZOwQfnAsjcU2dqTniaMUEv22qOK117w/uIURWHbtm3YunUr74U1GAx46623MGLECJtTdZqmsXv3bvzwww/QarVmHV2n02HhwoUYO3asVbYncMPx7N+/H99//z0vMUmj0WD+/PmIjY2FTCaz2TElEgmOHDmChIQEjvnZEnq9HlOnTgUA/Pzzz5g7dy48PT15f1ypVIrjx48jISGBl/2p0Wgwbdo0TJ8+HW5ubjY7k0QiwdmzZ7F582YUFhaaxVE0Gg3i4+Px7LPPwtvb22rKWSKRICMjA9999x2ysrLg5OSEnJwcCAQCnD9/HkqlEqNGjcK8efPg5+dn1ZZIJEJubi6+++47XLhwwawj6XQ6DB48GC+99BKCg4NtdgSaplFaWorvvvsOaWlpZh3LYDCgZ8+eeO211xAeHt7KHkVR0Gq1SElJwdmzZ7FmzRqoVCqsWbMGv/32m5kto9GIsLAwvPnmm4iOjrbZNkKEW7duHX755Rez72oymeDt7Y0lS5agZ8+eZteN7H7duHEj9u3bx3u+q6srli5dardKuU6nw+bNm7Fnzx6ze4wMgEuXLuXEoToavA6DZVn07dsXs2bN4u10JpMJ3bp1s4t1ZjKZ0KtXLzz77LO8xXMYhkGPHj3sClCRAkUzZszg3RxkNBrRp08fu4OUDMMgIiIC06dP52VsGgwGDBw4EA899BDee+89BAQEYOrUqRCLxWY/htFoRGhoKKZOnQqFQmF2bQhj015qL8MwCAwMxJQpU3jp8EajEREREXZtyycSgRMmTMDw4cMhFotRWFgIAOjWrRt0Oh1CQkJ45eb4bHl5eSEuLg4DBgwwc7Lks1xcXOy6YU0mE9zc3DBu3Dj07t2b156Xlxevk6VpGhcuXEBiYiKmTZuGmJgY1NXVYfTo0YiKijKzRTqop6enRRU4mqbh7u7OUfqlUilGjBiBkJAQM3uEzenj42PxuonFYjzwwAPw8/PjPZ+UyGzPbGzIkCHw8PDg7X+kpOftCtpaZHoS9SZL0Ov1dhOpbNkiik722rLEiiSMzfYEu8h+Ekv2DAYDaJrGjz/+iG3btuGdd97B8OHDead89thqj8oS2epuyR5RwbLHHhG/IZvu6urqAABeXl4cYelmbPGBENHs/Z4CgQAikcjibJXPHkmhfvnll6BpGu+//z6X3bBmizAm+Too2URZUFCAwYMHcwPczdojNjOiFToAACAASURBVMk9ezPn84EoqlmCTqfj7DkEdDoBRKXr448/hkKhwBtvvGGTOt7VQW64u5FvQISZt27dij///BOff/45fHx8OmTdTpwh3/L5bkRHOwxHlsQOmEwmiMViLFy4ECqVComJiWhsbLxrMwxkhlFfX9/uzUydDbJz9Pfff8eePXvw7LPPIigoqMOCfGRG4AA/7q67pRNhMBjg7++PuXPnIiUlBYcPH75rqeMymQy7d+/G7t277zq+AUmhJicnY9SoURg5cqTdmhy2QHgYGzduvOuuy52Cw2G0A2q1GsOGDUN8fDx2796N/Pz8uzJff7fyMGiaRk1NDVdc6OWXX+bVqrhZkEJGDh6GZTgcRjvBMAzmzJmD4OBg7Nq1CxUVFXcddZxkA+4mCjQJaP/yyy84efIk/u///u+m2Jy2PoNhmFY1XBxojXYPL4Q0wndBrcn0AdYJXLak+qyRrIC/Itztlenjs6NQKCyuiRmGgVwux+uvv46lS5di7969mDt3LpdtaGvrZqX6+NqlVqvtYjC2JWq1BSGX2RPYs0XSulmZPj5Yk+mTSCRIT09HcnIy4uPjMXDgQFAUZbGanNFo5Cqg2QKR6iP1Umia5ohtAGxK7dkiZ5lMJouaI3y2rBGzblaqr6PQLochFAqRmJiI3bt3m63fdTod1q5dy1v1CrgxnTxw4AB27dpldqPqdDo8//zzGDFihEXyllgsxq+//oodO3ZAqVSadXa1Wo2PPvoIPXv2tEn++v333/HTTz+hvr7erHOqVCosWbIEgwYNsmhHr9cjMjISTz/9NP7973/j6NGjkEgkZtwQlUqFBQsWYNSoUTal+iQSCS5cuIBt27ahrKzMrIOqVCrMnj0bkyZNsiljJxaLkZWVhW3btiE/P9+sg5pMJlAUxfFZLIFI623bto1X8k+j0WD8+PF4/vnn7ZLWKysrw7Zt2ywSvoYNG4ZFixaZXSuxWIxr165hz549CA0NxcyZM1FeXo6tW7fi9OnTZrYMBgN69+6Nd999F4B1MWWKolBfX48dO3bgxIkTaGxsRElJCR577DEuDR4WFoZPPvmEd/lDBoXNmzcjNTWVl5zl4+OD1atX2yXVp9Vq8cMPP+DQoUO8xCxnZ2esW7eu06T62uUwWJZFSEgIRo4caTaTMBqNvBJ9BKT84MMPP2w2ehuNRgQFBfEK/LY8PyAgACNGjOAdGfV6PUe4sQZCLHrwwQd5JfH0er1dNUuVSiXGjRuHjIwM/PDDD3jyyScRFRXVagag1+s5mT572uXp6YkhQ4YgKirKzCHq9XqEhYXZZYuQoQYNGsRLOCK6D4MHD7Y6qzOZTHBxccH999/PSzwyGAx2SfQRW05OTujfvz88PDx42xQZGWlRUHnfvn0oLi7GypUr4eTkBJVKhT59+sDJyYmX7GVvKpHMOHv27AmapiEWizFz5kzu3jCZTFzBbUugaRo9evTghITb2ndxcbEr1kLOj46Ohl6v550BSySSm9qF21FoNw+DVKsyM/S/KbM1Aoq1c3U6nc3UGPlBLRGZNBqNXWSyjrTT2NiITz75BBEREZg3bx48PT2570FGDHvX2UKhkCsJyNcue66RPbYIiD1ryxJCHrO0TCIV2+yBLVtGo9FsyUXTNH799VesX78ezz//PKZNm8ZtCyCdhw8Mw9i9AU0gEEAsFltcdplMJt46Jvaez7JsuzI5pDpcR9hyELe6GGQyGS5duoTly5djwoQJFqnjXQkURaG2thYA4O3t3WXbSmqhrlmzBl5eXli2bBmA21+vRSaT3TOBTwdxq4tBo9Ggf//+mDhxIhITE3H+/Pkur50hk8mwd+9e7Nu3r8vyDWiaRkNDA/bu3QuGYfDKK6/c9qwOqUuydu3aLntdOhsOh9EB0Gq1mDp1Knr27Ik9e/bg6tWrXTqPT9M08vLykJeX1yV5GGR58ssvv+Do0aOYOXMmAgMDb3v5QqFQiMrKSmzZssViluLvDofD6ACYTCbIZDIsWLAAarUaycnJaGho6JKdEfgr7cpXhawrQCqVIj8/H/v27cOoUaPwwAMP3DFRXpZl7/nykbcCh8PoIOj1ei7ll5qail9++aXLUsdJALVlMaeuApFIhMrKSiQlJcHHxwdz5869oxvkHA7DOtrNw5DL5a1uMqPRCJVKxY1UJHJNlKVYloWbm1uraL1er7dbeepugkqlwoMPPojRo0cjKSkJPXr0wP3339/lpPx1Oh0eeughznF0FVAUBY1Gg/379yM7Oxvvv/8+3N3d79j1I/oXoaGhXTYQ3NmwmCWRSCQco5Ow1MrKyvDFF19w6VGFQoHQ0FDMnz+fe+/58+dx/fp1jBkzBmKxGBKJBG+99RaUSiVcXV3R0NCAgQMHYvr06XBycrLpNAj70ZoM2s2iJbvSUvpRq9XaJflHbMnlcmg0GixfvhxCoRDz589HaGgoGIaBTqeDVqu1W6KPsDUtBVHtdbzEllQq5bRESGqO/AYGg6FdEn2WWKTAX5J69nY6iqI4GbxffvkFmzZtwowZM/Dss89yv7u99iiKglQqtSipxzCMRbk/orCVk5ODBx98kNPDIPKBfCASfZZmJYS5aY0Fqlar2y3RZ03yr2VfuSOVzyiKQkpKCg4ePAitVos1a9ZwjezWrRu+/fZbXL9+HVOmTOHqorIsCycnJyQkJOCPP/7Agw8+yFWiDgsLQ3FxMb777js899xz8PX1tWtbNU3TOHfuHJKTkzFjxgxERkZ26BRaLBbjzJkz2Lt3L2/9UJ1Oh4kTJ2L06NE2Jf/EYjHS09ORlJSE5uZm5OTkoKCgAHl5efDx8UFDQwPGjRuHRx991C41KsLWTEpKwtWrV806p06nw4gRIxAfHw93d3er9sRiMfLy8pCUlMRtOCMdQK/Xw2AwYNCgQXj88cfh5eVldUpOJPWSkpKQnZ1txhcwGAzo1asXnnrqKZtyf8BfgcZ9+/YhJycHOTk5yMzMhEgkwoEDBzhW7YwZMxAYGGjVHtm2n5ycjHPnzpm1jWEYBAQEYNasWQgJCeGt9evh4YGRI0dCo9FAKBSiubkZW7duRVpaGi9j1sPDA3PmzEFkZCSvRJ9arcbOnTtx/Phxi8zNuXPnIioqyi6HqNfrkZiYiKNHj/IOJCKRCHPnzuWIZB0Ni0sSFxcXBAUFcYwzlmUREBCApUuXgmVZrFy5EmPGjMH06dM5b3bt2jUcP34ctbW1KCsrQ69evWAymfDmm2/ijz/+wKVLl7B06VJ4enraNTIKhUJkZ2dj06ZNeOCBBxAREWGVDdpeECcXEBAAZ2dnXnalq6urXU6KTGcDAgIgFovx6KOP4sEHH8Q333yD/v37Y8iQIXB3d7dbf4IwEP38/ACAV2+UjzFpzZavry/0ej3EYjGuX78OAAgLC4NOp4OXl5ddDEIyW/Hx8YFSqTTrBEajET4+PnYHfMl1E4vF+PPPP+Hk5IT3338fTU1NnBKYr6+v3Rv8hEIhvLy8EBISYtYGosFpzVZLPQyWZUFRFDw9PS3ac3V1tapFS/a7BAcH8zoMa3tQLLXP3d0dwcHBvL89TdO3NcNjcUlClhNkMxY5TlEUrly5gri4OMTHx+Of//wnN6U/fPgwli9fjqKiIrz55pt48cUXuanrN998A4FA0Gopwv6v0hTpRISXT6aCXl5e+OGHHzB//nz8/PPPGDNmDDelJPVDSBuJNydSbuQYWRcTliFwg9ZNRgORSMTZMLs4/1vj2ys3R9M095kURUGn0+Gjjz5CTU0Nli5dioiICDQ1Ndnt8Fra42ubXq+3WyFdKBRCIpFwG6v++c9/QiAQ4I033uBUpu1dLpFpPx8voiVj094lCU3TOHToELZs2YKXXnoJEydO5OIW7bVHGKCWMkCEtclni/AwDh48iFdeeYXbgiCRSCw6BZZlrTKDb/V8PhB7lqDRaG7bkuSmmJ4Mw3C1H86dOweZTAapVIrZs2fjoYcewrJlyxATE4M9e/bAxcUFMpkMjz/+ON5//31ER0dzHdzHxwfvvPMOKisrAdzovIsWLYKvry/UajW++OILnD9/Hn/88QdGjRoFHx8f9O/fH0888QQCAwPx+++/Y//+/RxV+LnnnkOPHj0gEomQmpqKEydOQKvVYtq0aSguLsaVK1cgEokwc+ZMBAQE3PZouEgkQl1dHZYvX47Q0FDMnTsXHh4et51PYAsSiQSHDh2CQCDA+PHjOzXwKZPJkJWVhc8//xyRkZF49913wTBMpwTExWIxTp48iZdffhn5+flobGy8423oaHQJpqezszMGDRqExsZGZGZmcoGfwsJCTJ48GT169EB2djaKi4thMpmgVCpRX18PHx8fCIVCbo/FBx98gNOnT8PZ2RkBAQHYvn07Pv30UygUCgiFQq5zmUwmyOVyeHh4wNnZGTKZDGlpaVi6dCmuXbsGX19fpKen4/3330dBQQEAQC6Xo7S0FAkJCXj11VeRnZ2Nbdu2Yd26dSgtLb0jbEyi0jVv3jxcvHgR+/fvh1ar7XRZPK1Wi7i4OMTGxnZqBkckEqG6uhp79+6Fq6srXnrpJQC3l/ptC0T01wF+3BSzyGg0Yvjw4UhJSUFqairuv/9+nDlzBiNGjIBMJsPkyZORmZmJc+fOoVevXlwQlEwTSYWpTz/9FKNGjcK7776LsLAwNDQ04LvvvsPs2bPRv39/bnvy2bNnMWfOHIwZMwYsy6KmpgYrV66ETqfDkiVLMHjwYCQmJuIf//gHdu7ciVdeeQWjR4+GXq/HuXPnIBaLMXnyZNx33324fPkygoOD71iuXa1WY9CgQXj00Uexd+9ehIWF4eGHH+7UtB1x2OR1Z4As2Q4cOICMjAy89dZb8PPz6zC5vZsFyRg5wI+bGuoYhsGjjz4KoVCIU6dOgaIoHDhwAE888QSEQiHGjBkDiUSCgwcPwmQy4eDBg3jooYe4rInJZIKzszOWL1+OadOmwd3dHZ9//jkuXboEAGhqaoLRaIRSqeSmy2q1Gs3NzdDr9bhw4QL++OMPzJw5E927d4fJZMKwYcMQFBSE48ePc++jaRoGgwHx8fEIDw/H1KlTsWLFijvqMIC/ihhFRUUhOTm5y1PH7wREIhHS09ORkpKCMWPGYPDgwV3CWTg5OSEqKspB3rKAm5phsCzLlQ7MzMzE9evXUVBQgMjISFAUhaioKMTExODUqVNQKBQoLi5GZGRkq+hzSEgIZsyYga1bt+KNN96ASCSCq6srgBujj6WRTygUIicnB0KhEIcPH0ZBQQGEQiH0ej1KS0shlUq5okRkaqvT6drNDehIEAf5yiuv4OOPP0ZycjJmzZoFuVx+V8r83ypITZF9+/YhJCQE06dP7xLkNoZhEBISgoULF3aJ9nRF3PRmB61Wi9GjRyM7OxtfffUVYmJiAPzlpUeOHInMzExs374d/v7+8PDw4DoxRVEoLCzE6tWrkZaWhuHDh2PFihU4duwYjh8/bnMN27LuJXEuEokEr776Kjw9PW2WDiRgWRZyubxVtJ/UerWnIxOyliVRE6KtodfrodVq0a1bNzzzzDNYv349/Pz8MGXKFO6atCRXWbJFSGQdBZJNImk40s62n91S1pCvXYRAZgsURcHZ2RkqlYrj+CxbtgzBwcGcNoe9swySqeHLhpDMir37TwgZSiwWw9XVFdHR0dBqtZycJMMwUCqVdp1vKRNir1wguZctKWq1x9btwE07DJPJhMGDB0Mmk2HLli3Yu3cvt+QwGAwYO3YsEhIS8OWXX+Kdd95pFUiiaRqpqanYtWsX3n77bbzxxhvcTdv2IpEZAQlSMgzDqTyNGzcOL774IqRSKacO9dNPP9n9HZycnLB+/XoUFxdzsx+NRoNZs2bZlPoDboyUmZmZOHz4MOrq6swCqRqNBk899RQGDhwIk8kEhUKBUaNG4dy5c9i7dy9iYmIwYMAAaLVaiMVi5OTk4PDhw6iqqjKzpdVqER8fjxEjRtilumULhB+QkpLCqXA/8MADeOSRR8zSpVKpFMeOHcPevXvNtn3rdDoMHToUU6ZMsdouoVCIqqoqHDt2DGfPnsXJkychl8vxzTffQKFQcGUun3nmGZvfj8jqHT58mCN5tQRR75ozZw4A2xJ9zc3N2LNnDy5cuMAV+yZ6GAzDwN/fH/Pnz7co0adWq7F3716cPXuWl6vh4eGBBQsW2CXRp9frcfDgQZw+fdpiacbXX3+90zY23nS43mQyYciQIdx0m9RHBW506sGDB8PDwwNKpRIDBw5s5X0FAgEaGhoA3BBwEQqFqK+v57QP5HI5d2MSwdqGhgYufTto0CB0794dCQkJOH/+PIxGI8RiMfbv34/9+/dDqVRCKpVy55KRo+0PQBSj9Hp9q0d7li0mk4nXhiVbDMNg7ty58PHxQVJSEiorK7mcOnG2fHZalr+7VYhEIqjVamzevBnJycmQSCQoLi5GQkICTp8+bUb8IR3H0ne0d1lFGKfJycno1asXxowZg7q6Ok61qz3LM5ZlYTQaLbapPYFLYothGBQWFmLt2rXcMtdeW9auT3sq5JHNb4T/w/e9OjWLdCuKW87Ozhg1ahT69u2LDz74oNXeEJlMhhdffBG5ubnYsWNHq2K6hME5bdo0eHp64uGHH4azszMaGhrwww8/YPz48YiLi8PkyZORlZWFJ554gtOgDAsLw8yZM/Hnn3/io48+gpeXF7p37w6RSASDwYC4uDgMGTIE58+fx9atW7Fz50706dMH/fr1w6JFi1oFPFsuSbgL8r8liT03CVmSSKVSi+QqQiZrCalUitzcXHz++ecYOnQoZsyYwRG0yJKEz5ZGo7nlJQlFUVCr1UhJScGRI0fw9NNP4+mnn8alS5fw2muvISwsDKtXr25FViNLF0v0eHuWJDRNQ6VSYdu2bSgoKMDixYsRERHRyknc7JKEDzezJJHL5Th27Biee+45lJeXc8uQ9ixJ+EBml/a2hSxJ+ECWJPb21zuyl8ReaLVaLF68GL6+vmZrLp1Oh7lz56KystLsGMMwGDBgAN555x3k5eVBpVLB398fCxcuRFhYGEpKSjgtzP79++Ptt99GRUUFdDodVCoV1Go14uPj4ezsjJSUFDQ3N6OpqQlPPvkkhgwZAolEArVaDS8vL8yfPx8GgwGNjY1mIxhxDjcLMkNpbxpOo9GgX79+mDRpEhISEuDr64sJEybYvDFvFez/BGmTkpKwb98+LFiwAGPGjOF+IxcXF1RWVqK2thbu7u6cY225Hf5mQGIKe/fuxbFjx7Bw4UIEBARwBaFvBmTTVkeAsC0J3f7FF19EXV2d3YFPcr49cRx7bGm12i4bdL1lTU8SP+CbdhHBV0uBtJajO6F8Ozs7c9NB8gPI5XJuBG+527AtNZz86G1p48Bf9Ua6SrqMtPnDDz9EZWUlFi9ejB49etzWG4WmaVRVVeHDDz9EeHg4VqxYwf0/Pz8fCxYsgKenJ9atWweRSNRhSyCpVIpz585h7dq1GDJkCBYtWtQhnet2wKHpaR23HDmxdoNbW7tZGt35pm58/7M26t3qiHgnwLI3qo8tWLAAn3zyCZKTk+Hj4wM3N7fblmp1dnbGoUOH8Pvvv0OtVmPFihXQarUc4zIrKwv/+Mc/4OXl1WG0aJFIhOvXr2P//v3w9fXFzJkzuzQxiszy7gVncTvgUNzqRBgMBgQHB2P27Nm4fPky9u3bZ7Eexa2CbP0+d+4cpFIpvL29UVpaiurqapSUlCA1NRV6vZ6ridFRn6nVajmy2gsvvNDh5Q0duLPomqKTfyOoVCoMGzYMly5dwoEDBxAaGoqRI0d2OMFMJBLhwoULyMnJwVNPPYXPPvsMJpMJYrEYFy9exIsvvghPT0+MHDmyw2ZmQqEQR44cweHDh/HUU0/h/vvvR0NDg2P0vovhmGF0AajVakybNg1hYWG3jTouFApx9epVCIVCREZGQqfToaGhAc3NzUhOTkZeXh7Gjx+P8PDwDonzSCQSlJaWYv/+/YiMjMSECRPQ3NzscBZ3ORwOowuA7MZ96aWXuCl8c3Nzh+6oJVKLfn5+CAsLg16vh7OzM3Jzc/HLL7/goYceQlxcXIewCIlS1b59+8AwDF566SXIZDKHTuY9AItLErFYbFWkoz0lAIlIDR8I5dneQBjRE7UmeNMecgsRqekIe0T6zprgjSUxHq1Wi+7du+Opp57CN998Az8/P0ydOrVVFfG29gjhyZ62EcYh4Sf4+PggPT0da9asgVAoxMsvv4zAwEC70sxEpIZPQIeiKBgMBuzevRtpaWl4/vnnER0dbXV2Yc0eabu9AjqEx2BNQKc94j627JE0qDUBHdKXbuZ8PpD2WEJ7BXnaA16HIRAIcObMGZw5c4b3wpLdqtHR0TYDdEKhkNtdyucUjEYjxo4d24opas3WpUuXkJaWxluQ2WAwYOTIkejdu7dV2TQCmqaRnZ2NtLQ03si4wWDA8OHDcd9999mslk1Sk2lpabz6oAaDAQMHDsSgQYMs7slQKpUYM2YMzp8/j5SUFMhkMmi1WpSVlfEWQu7bty+GDRsGuVxuswMYDAYMHToUBw8exMaNG1FcXIy8vDwYjUYsXboUI0eORGNjo80lg1AoxPXr13Hy5EneKvM0TcNkMiEjIwP9+/fHmDFjrGYdCM371KlTnN5oSxAdzrFjx8LLy8vq96QoCk1NTUhLS0Nubi4vTdvLywvjxo2Dr6+vzWtGiHepqanIysrildiTy+WIjY1FQECAmT0y4Bw7dgyXLl2ySPWOi4tDUFCQXU7MaDTi1KlTSE9P5+17NE0jLi4OoaGhd07TUyAQoLq6GpmZmbyeymg0YvDgwXZ9gEAgQG1tLS5fvmyx6vp9990HlmV5ufotQW6uK1eu8N6EOp2O0xG1t22NjY3Izs5GfX292Q+g1WoREREBhmHsahsR/7W0F4SofFmyRWjBc+fOxaeffopt27bBx8enVRmHlt/V3d0dgwYNsisuYDQaER4ejpkzZ2L79u04duwYBgwYgLfffhvBwcF2OQvgL8ZpUVERsrKyWo10JIWam5uLCRMmYN68eTCZTDb3T+h0OhQXFyMjI4N3X4hKpeLKIthqm8FgQGlpKa8thmEQFBSEESNG2P1djUYjysvLee2ZTCaOqWzJHsMwuHbtGjIyMiw6nIcffthmW1qeU1lZiYyMDIsiwCNGjLDbXnthkbjVchej2Un/41DYm35rWbKAz5ZarbYrMt9y16Q1W/ZqcBJ71qjdhI5tyx6hiVsqWUCWXvboZspkMly+fBlfffUVRo4ciZkzZ0IsFrdy3qSjtWd63ZLiTTrXzUxfCbmp5TSdoigwDIPt27cjNTUV8+bNw6BBg+xiY1IUxUn5W9p5aqk0QHtsAbbLArQFKTNgaYZpT5kBa+ezLNuuEhqEhk42evKB6OKS93e6pqcDtxcsy8LDwwPbt2/HDz/8gJkzZyI+Pt7maN2ZEIvFOHbsGDZt2oTY2Fi88MILaG5u7uxm/e3RJTQ9Hbi9IBmN+Ph4REVFITExEYWFhV1WpUssFuPatWvYv38/goOD8eSTT97WPTEOdB4cDqOLglDHFy5cCLlc3mULPAuFQq4AtVqtxosvvghXV1dHCvUehcNhdGG0LPB85coVJCcnw2AwdLrqOAGJIx06dAjHjx/HxIkT0bt373ZvLLNVS8SBroOucec5YBEkQzBy5EgcPHgQaWlpt0zoIgFae1LP1iCRSFBQUIB9+/YhJiYG48ePb/cuT5FIBKVSiRMnTuDy5csOif8ujpua34pEIt4flmQVLE1HW9b0bHuePYpLls4nNuwlwNA0DZFIZDHT0h4ijVAotEkkszcCbs3WrFmzkJubi6SkJERFRSE0NNRqZokojfHJwonFYpw+fZpTRrOl5sVnSygUorGxEQcPHoS3t7dFCbu2dkQiEUfQEgqFqKurQ2pqKrZu3Yro6GisX7/erp2yhBBlqfoawzB2SwVYswX8Rfaydj7pE5YyIe2ZdZG2WEJnqqu322FQFIXMzExcunTJrFMxDINJkyZx6t9tz7ty5QouXbpkRuBiGAbDhg1DRESExdFTKBQiNzcXFy9e5E3nGgwGxMbGwtfX12r7hUIhCgsLkZ6eDrVazcsLGTt2LEJCQmyOvkKhEKWlpUhPT+cdWfV6PUaMGIFu3brZZevatWu4cOECL/GLoig89NBDOHjwIJKTkzFnzhxIpVJex0bTNGpra3Hp0iXU1dVBIBBwGRYi0rxx40aEhITgs88+g0gkgpubG5fCbOk8hEIhampqkJ6ejsrKSu73cXJyQnZ2Ng4cOIBnnnkG4eHhVmnlRGYxPT0d5eXlnFLZ5cuXkZqaCqVSyQkE2+N4FAoF0tPTUVJSYnbPmEwm+Pv745FHHgFgXdOTpOLT0tJQWFjIS67y8PBAXFycxfN1Oh3OnDmD/Px8s9+NcC0mTpxolbxG0zSXms7IyEB2dnar+jEEYrEYU6ZMuSOFuPjQbochEAi4aWjbjq/T6TB69GiLDqO4uBj79+/nygC0PI/scbDk5SmKQmlpKVJSUnhJW6RgkJ+fn9UbhGzCOnToEC9ZS6VSoVevXggJCbF5LUjl8V9//bVVZ2ppKzQ0FFFRUQCs37hCoRDV1dU4evQoSkpKzEYYlUqF119/HVOnTsXmzZvh6+uLJ554olXnIjMBvV6PEydOYMWKFaioqADwV5FeMsLTNA03Nzf861//grOzMyIjI9GjRw+EhYXBw8ODK4RM2JMnTpzApUuXuNEvPz8fNTU16Nu3L5ycnGx2dNLJT58+jQsXLqCxsRGlpaUICgqCTCaDTqcDwzDIz89HdHS01a0ChAd05swZnDp1ymzWSViw48aNs0uBXqfT4fz58zh69KiZLYZhEB4ejri4OIvfT6/X4+LFi/jll194yV1EUa1tIXHiKJqbm5Gfnw+FQoGamhr897//kDSY7wAAIABJREFUxdmzZyEQCPDwww+bSUpOnDjRYj+53bgpHgYhjvB5zObmZovTeWukK1vkrbakI7MvIhCgubnZ5vS/JfnLEsFKoVC0S9OTiA3z2VKpVHaT0gjxy5Kmp1qtBsuyWL16NTIyMrBo0SIMHDgQer0eEokEjY2NKCgowOnTp3HlyhVO+zEkJATdunWDu7s7ZDIZnJ2dodVqcfXqVVy7dg35+fmor69HQEAAIiIiMHToUAwdOhTu7u7Q6XSgKApOTk7cUq62thZr1qxBY2MjPvjgA7i7u9vFuRAKhXB1dUVTUxN2796NsrIy9O7dm1MCu3LlCh544AFMmTLF5nKiJUGLD0aj0e6NdLZsMQxj9fu1JGfxwWQyoampqdX7yQa9jIwMFBYWori4GFVVVaiurub2afXu3Rtbt25tdS1Ylm1XQW8HcetvDpqm0dDQgBUrVsDV1RWvvfYa3N3dkZ2djSNHjiAtLQ16vR4PPPAAJ9Ds6enJSReSZYlIJOKcnMFgQE5ODn7//XekpqaisbER48ePR2xsLMLDwzmWKUVRMBqN2LJlCy5cuICFCxeiT58+dq/PaZqGQqFAcnIyCgoKuPgJcKPTXrx4EQKBAKtWrWrVwe4lkGuelZWFtLQ0XLp0CVqtFuPHj+dmgE1NTcjMzMSECRMwbNiwW9pI5nAYDkAmkyEjIwP//ve/0bt3b/j4+ODnn3/mNgU+8cQTCAkJgVqtNotJADdG+rKyMggEAoSEhMBkMoGmachkMtTX1yMpKQlJSUmgKArTp09HXFwcF4xNSUnBDz/8gOnTp2PGjBl270GhaRpKpRKHDh1CQUEB+vTp0yoWJZFIcOrUKVRVVSEhIQFGo/GeuyeFQiEMBgPS0tLw22+/obi4GFOnTgVN05zj1Ov1OHnyJCZNmoQJEybckkg10AU1PR2481Cr1Rg+fDhOnjyJf//73zAajXjsscfwxhtvICIiAgqFwmqmQSaTITExEQKBAIsXL4ZSqeTUz8ViMebOnYsxY8Zg5cqV+PLLL6HVajFt2jSUl5cjMTERYWFhiI+PtzuFSshdv/32G/Lz89GjRw/ewLe3tzfUajW307Ura3+2F2Tj5MmTJ3H06FH06dMHw4YNg0aj4ZbRLMvi+vXroCgKjz/+eIfpqnYkHA7jLgSJjcTExCAkJAQuLi6YM2cOQkND7ZLAI1XIyFq6Jch6OyAgACtWrMCaNWvw/fffw83NDaWlpZDJZHj55Ze54KotUBQFvV6PtLQ0XL58GZGRkQDMA8BkG7tarUZ6ejoGDRp0TzgMog5fUVGBAwcOID09HY899hhMJlOrpRzJiGRnZ2PRokVddh+Og7h1l0Kj0SA2NhabN2+Gj48PUlJSUFdXZzfxiaIos6h9S+h0Ori5ueH111/HM888g+3btyMjIwNPPvkkoqKi7ArkkqxCRkYGzp07Bz8/P4u7LFmWhbOzM4xGo9m2+bsV5PsXFhZi586duHLlCiZPnmy2TCS8kZycHPTt2xd9+/btstR6h8O4S0EEd4KCgjBjxgxcuXIFe/bs4YKT1kD2qdjal6LX6+Ht7Y1hw4ZBIpEgJibGpiBOS9A0jatXr+LPP/+ETCaDj4+P1QCeUCiETqdDVVUVr3bK3QaWZXH16lXs2LED165dQ2xsrFmAmDiVnJwcXL9+HXPmzOlUYpYtWLxjbN1QBoOhXWxIayNGe23RNG3xZjIaje2Sse9Ie4TJaM0WwzB2B/Ns2WMYBiqVCg8//DCys7Nx6NAhi6rjLclBhAQmEAi4koMMw5gFGgkBbPv27ZDL5Xj22WdhNBo5ZqMlx0SyMY2NjThz5gzUajV69+5tcVZClkYURcHX1xdarRbFxcXo3r07DAYDV7/WnusmEAhA07RFYhPLsnbrpdhrj7Sx7XkNDQ1ITk4GwzCIi4uDRqNp1Q+IJkleXh6qqqqwbNkyyGQyuxjP1vpme+sDtwcWFbfy8/NRUFBgkSrbv39/+Pv72xwFCGErPz+f1ykwDIO+ffsiMDDQ5shIURTKysqQl5cHvV5v9tkMw6Bnz54ICQmxiwlH2JW5ubm8I5rRaERMTAzCw8NtbowiJC5S+pHPVmRkJLp162bXHg6KolBTU4Pc3Fw0NzebXRuGYRASEoLo6GjQNI0nn3wSmZmZ+PnnnxEVFYXg4GAuxkACbrm5uVyMgxS73rFjB0wmEwICAtCjRw9OPpCwDvfs2YPKykrMnz8fAQEB0Gq1nLJYXV0db7v8/f0RGRmJM2fO4Nq1a+jVq5dVZ6HValFRUQGFQoHm5mbU19fj559/Rt++fTllsb59+8LFxcVqRyBbE3Jzc1FRUcHL2pTL5ejXr1+rWr/W7Ol0OmRmZqK8vJyXxSmVSnHffffB3d29FYFOr9fjyJEjuHr1Knr06IHjx4/zsnc1Gg2qqqrw8ccfIyQkxGZcyGQyISsrCyUlJbx9j6Io3H///fD29r5zEn0UReHs2bPYsmULN6K0hMFgwNKlS+Hr62uXDmd6ejr++9//mjE8gRtr5TfeeAN+fn68+x5aNZamkZmZic2bN/N2Io1GgwULFsDf398uJhxN08jJycG3336L6upqs++iVqsxd+5cBAQE2OzkNE2jsLAQ3333Ha5evWo2AqjVajzzzDMIDAy0SOluCZFIhLKyMmzZsgUFBQVmMzSNRoOJEyciKCgITk5OcHV1xfz58/Gvf/0Le/bswfPPP8/xJ2iaRkVFBbZt28Zt8CLtMxqN0Ol0GDNmDIKCgiCXy2E0GkHTNFJTU3HkyBFMmjQJDzzwABoaGiAWi1FdXY1du3bh3LlzZmQlhvn/9q48KKore3/dTfdr2mbfN1HZNYKiKAYXxozOqJgYLZeaGccpM5opp2qczFRNEscUmrgvScZt1HHco4mUIaIoWEo0RsEFVAQFAyI7stPQe/fr3x/+7k1Dv15QXOd9VVSM+E6/9/rd88495zvfMWLYsGGIi4uDQqHAoEGDbC4CoVAIpVKJGzduoLS0FCzLQqvVorS0FGfPnoVGo8GQIUMQFBRkd5ETmcRTp07h/PnzFudGZAo//vhjyma1BUKWy87ORmZmJue1+vr64pNPPqEDmggN/9q1a7h8+TKSk5ORlZWFGzdu0OeL/Ju2tjYEBQVh1apVCA0NtUtWI9T9ixcvIi0tjVPyj2EYpKamwsfH55k4DLsSfdYiiN5K9FljaAL2WZ4EjrA9ia3eSPTZYn2q1WqHZPUcYWo6astRe0Tyj2wBXF1dkZmZiUOHDiElJQUzZ84Ey7JgWRZisRjOzs50W1JbW0tr9GQ2LpHrYxgGNTU1WL16NeRyOVasWAGGYegCE4lElPlJzkUoFFLhn4sXLyI/Px++vr5WJ76bg1DapVIp7t27hxs3buAPf/gDUlJSIJFIKGuTbJns9ZlYY22SqKk3M3YFAgFkMpnNyexEYo/kIwoKCvD1119Tbc2ezWSETZyXl4ff/e53SEhIcDhvYS7RxwUi+UcqTM+Nh9GXE6T7as4pCRH7ajKXQPCz9H9f2HqSSe59ZY8kQSdNmoTbt2/jxIkTCAsLw4gRI2jHLKFKu7i4YOfOnRAIBPjnP//ZTR2LJB7T09MhEonw/vvvQy6X03tOHLVaraYLUKVSob29HS0tLbh58ybKysowaNAg9OvXz6GFSbpBCQW7tbUVxcXFaGlpgbe3N1xcXODq6kp/ZDIZdYQmk6lbpEAWsDnhiSxklUoFoVAIuVwOiURCbdiKNMgCtEegIveluLgYGRkZiI+Pp5GE+TNLvteioiJER0dj9OjRvVInI52vL2qYNc/DeI1AVMcXLFiA6upqHD9+HAMGDIC7u3u3RJpQKERzc7MFD4NEChkZGbh27Rrmz5+PoUOHoquri+ZwlEol2tvb0dXVRV8qra2tePDgAUpKSuDj44OEhATavNYb6PV6REdHIywsDFVVVUhPT0dlZSXN1QQHB8PX1xeenp5wdXWFm5sbPDw84OLiApFI1I363lOcuKysDLdv3wbDMPDy8oKzszM8PT3h4+MDd3d3qw7IERBnce/ePWRkZFBuDNf1m0wmtLS0oKqqCqtXr37lpAx5h/GawWAwwM/PDwsXLsSOHTtw/PhxLFiwAEKhsNtCIFsI8/CeYRjcvXsXGRkZiI2NxeTJk1FXV4eOjg50dXVBrVajqakJDx48wMOHD1FfX0/p5eHh4fjVr34FlmWfatgy6XOJiIhATEwMRCIRdDodWltbUV1djdOnT6Ourg4xMTGIiorCwIED4e/vDxcXF8hkMvTr149uMwkdvby8HBcvXqSJ0Hv37kEsFiM+Ph5DhgxBSEgI5HI53N3d4erqin79+vWqksWyLAoLC3HmzBm4uroiMDCQMzI0T8r+6U9/emm5FrbAO4zXECqVCqNHj8aDBw+QlpaGwMBATJkyhT6gJD8iFAppWVkoFKK9vR1Hjx6FVqtFfHw8rl+/jurqalRUVKCsrAxdXV0IDAxEeHg4xowZQ/f1RqMRRqOxz6a+k0jJ/A3t5uYGT09PjBgxgk6Ff/ToEXJzc1FcXExb9IOCguDl5QUPDw/IZDJUVVWhpKQEUVFRGDp0KIxGIyZNmgSj0YimpiZcunQJt2/fRnh4OIKCghAbG4u5c+c6tO0VCoXQarW4desWTp48iYCAAAwYMMDqNpJlWbS2tkIkEuGtt956JRvs+Oaz1xQkTE5NTUV1dTVSU1MRERFBZ6qmp6dDrVZj/PjxaG1thclkQk5ODnJycuDm5kajhJiYGPTv3x9yuZyG9/b2/c8L5g6P5EE6OjrQ2dmJhoYGqFQqREVFISQkhJ431/ESiQT19fXIzs5GQkICzetwKXmRbRvLsmhqakJeXh4uXLiAxMREm9UvQufPzc3F0qVLERER8czGGfb83BferSoSiayWU20RbGwdx9VV2ROEfGQNjpJ7yINii2Dl6IJ4nrZ6vnVtgXAt6urqsGHDBgQEBGDJkiUwGAxoaWmBwWBAQ0MDrl+/jvLycigUCgQHB2Pw4MF0SBH5TJPJRBcLFxx1IObVFC6QyMJRcN0rcp4k4cjlKHqCcIV++OEHrF+/Hh4eHjS5Sp4nkrzs6uqizX1Xr17F9evX8e6773LSD8yh1+vx6NEjVFZWYsuWLTa1OmytEwC9iuReeLeqQCBATU0NampqLL4IlmUxbNgwSgrqeVxdXR2qq6stHgqWZREWFgZvb2+r5C2hUIhHjx6hqqqKc49sNBrxxhtvcKp99bTT1NSEqqoqzhtPyF8eHh427RBbLS0tqKys5CR+GY1GREREwNfX16HSYltbGyorKzmlA41GIwYOHIjAwECHbHV0dKC4uBgA0L9/f2RnZ0On08Hd3R05OTnQ6XSIj4+neQDy1iQOgtwbUr5tbm7mPC+WZeHu7m5X6YxUuJqbmzmJbYRU5cj1kepWfX09J02dyBAGBQXZtENskaHW7e3tmDdvHiZNmoQRI0ZgwIABMBqNEIlEYBiG5lEePHiA2tpaREZG0hksLS0t6Ojo4DwXiUQCb29v3L17F++//77NEirLsqisrKT5oZ5wcnLC8OHDX5hyfK8dhkgkwoULF7B7926LBafRaGhm3uKDnJxw6dIl7Ny50+LB02g0WL58OaZNm2Z1pJyTkxPy8vKwfft2dHR0WNywrq4u7N+/H/Hx8TYfOLFYjPz8fGzbto2TrNXZ2Ylt27YhOTnZ7ptJLBbjzp072Lp1K+dg4s7OTqxZswZvv/02ANsSfWKxGKWlpdiyZQvu379vQdTq7OzEhx9+iN///vd2J6AxDIOHDx9i5cqVyMvLg7OzM9zd3XHo0CH6Fp80aRKGDx8OvV5vM0lJhHqzs7NRVlZmcY06nQ6JiYmYOXOmzWskTuzcuXMoKSmxsKPX6xEbG4vf/va3du8VKSFfvHgRhYWFnAOcBw0ahD/+8Y8O2VKpVCgqKqLNe6dPn0ZGRga9zwzDICoqCt7e3hg0aBDeeOMNjBw5EgaDAWq1GjqdDrm5ubh69SonmcrDwwPz58/HrVu3EBcXZzVCIE41PT0dR44csXgGCNfmxIkTNkclPks80ZaEZKEtjP2/TJ4tiT4uMpg54coazElW1khbhNxjC8SOrXmqRB/CHszJVbYk+hwJIUl1wJ5Enz2lcMIgbG1tRUlJCQoKCuDu7o7IyMhuD7Ner3c4tDVXDeeCo7bs2SGsU0cgEAgsCFEA6PapN6rhAOjYBWKDZdluWyjSa0O2heZbKyJARBa4ef+JWCyGXq9HWVkZ0tLS8MMPP9jcjhBiljW5P5PJBIVC8cIk+p6oSvKk5KmnIV31FcnqZSVrEdqvozqUXMerVCpUVlbiwoULKC0tRXh4OOVEPM29tyez/7ztAI8XjrVrIgvZ/MVCHLp5dGaexCT5MXOyFVnwhFVpLnYjkUjoolapVNBoNHTIFMMwtDwrFothNBqpUrq9Z+VFE7PsgS+rviZgGAYXLlxAZmYmBg4ciMmTJ8NgMPRZqbO3MH8DmvM9yCI2//+e/9aWTa4cAfBzQlwikdA3vfnvSAivVquh1+tpxy1xCGRxWzvPnudn/vfe3t5gWRYqlYpGUOS6SA4kNDQUjY2NqKioQFBQ0EtRZXoS8A7jNQHZkvn7+6N///60OsD1wJuTtp7mwTWvnvQkghEWKfmvyWSiIT3wc0WIvPlJqG9ecTGvzJA/mzM5yeeSpKS7uztkMpndzuKei57Ye9oyp3lVxfzzWZYFwzAYPnw4Tp8+jT//+c99Fmk9b/AO4zUBy7Lw9vbGqVOnIJPJMGrUKLS2tnbTuDCvVGg0Gjg7O8PNzQ1OTk4wGo2cb3uuhWcexpM3NHlbmycKST6GOAWdTkel50geifyeaHuQEQ+m/xf5IU6HvLkNBgNN1JKcj0wmo3mRvlj4TwpbTkomkyE+Ph5ZWVlYtGjRczyrvgXvMF4TkClrZ86cQXFxMcaPH4+oqKhuITjZthw6dAg1NTWYOHEixowZA6lUSsuiJNnHFXqTP4tEIhrGk65V8/6NnpEAWcAikQienp5Wfy+Xy+Hi4sJ5fda2LT17R54lrG1T7IEkx2NjY/HNN98gMzMTM2bM6LMmyucJXqLvNYHJ9Fj0ZtasWTAajTh9+jQ0Gg2NABiGgVwux/379yEUCjF79mzMnTsX5eXluHr1KmJjY2lPBinDurm50UFNUqkUbm5uCA0Npf0bcrmcVhDMG79slX1t/Z78juvH3DH0/Pu+Qs8kKCFQkSiHRDY9f0eiJFvcCJPpsWbpzJkzsXPnTk49l1cBViMMezegt1Jztmz1hmrcl7YA++zD3tjrS1tPYk+j0SApKQkKhQK7d++Gk5MTpk2b1i2HkJiYCKVSiYSEBNTW1qK+vh7vvPMOWJbFTz/9hLS0NFRXVyMsLAxisRiFhYVgGAYajQaBgYFYuHAh4uLi6MLhwpPkRmxdJ7nW3jxvjtoyj6Z0Oh00Gg2VAzB3TEqlEm1tbRCJRLTbFfg5wiF6HkSYx/xcyfnIZDKMHz8ed+/exdq1a5GamkqrKL1xfH25NnsLqxJ9zc3NaG5utpqZDggIgIuLi80vhthqaWlBc3MzDXfNQQbnkmHA9my1tbWhqamJ7rl72vL19YW7u7tD3pvwRhobGzmpvSQv4OnpadceSTo2NTVxygeyLAtPT094eXk5pAZGOByNjY3QarVWGZbe3t40yUeuZ+rUqQCAXbt2AQCmTJkCo9GI+vp6yOVyhISEYNmyZRAIBHSoc1lZGUaMGAGTyYQTJ06gsbERw4YNw/Tp03Hnzh14enqioqICpaWlGDp0KOrq6qi+RM/zkslk3c7L3nWSblSlUskpg8cwDHx8fOyqnpEooLW1FV1dXZy2JBIJfH19IZVKYTAYaBduZ2cnamtrUVNTg/r6eigUCmi1WiiVSjx8+BAKhQI+Pj7Q6/Vob2+nFRmj0Yjg4GCEhoYiMDAQKSkp8PLyooJDLMuipaUFCoWCOqeEhASsXr0aYWFhSE5Ohre3d7eEqS2YTI9nl7S2tnKuS6FQSFXYngWsSvR999132L59O93/mkOn02Hjxo2YMmWKXYk+JycnnDlzBlu2bOGkFqvVaqxevRrvvPOOVZYngUQiwfnz5/HFF1+gvb3d4oFQqVRYvnw55syZ49AXwDAMfvzxR2zevBkNDQ2cw5Q/+OADLFiwAK6urjbfmgzDICcnB5s2bUJFRYUFS0+pVGLx4sVYvHgxvLy87CbmJBIJcnNzsXHjRty9e9dC8UmlUmHevHlYunQp/P39KT9AIHisejV16lSIRCLs3LkTGo0G/v7+SE9PR0lJCZydnSmF/siRI9i9ezeSk5OxePFihIeHIyAgAFeuXKEOxM3NDSEhITh37hxGjx6Nuro6bNu2DQUFBRbnpdVqkZCQgCVLliA4ONgukY4Mod67dy+uXLliQVjS6/WIiYnBX//6VwwYMMCmPUKv379/P77//ntOib7Q0FAsXboUXl5eKC8vx08//YT79++jpqYGPj4+iIuLw+TJkxEaGgq5XA69Xo9jx47h9OnT9Dt1d3cH8PhN7ufnh3/84x8wmUzIysrCypUrMWvWLCQlJcHFxQUKhQLHjh3DyZMn6b0iIj7Lly+HyWTC8ePHMWbMGLv3iiStDxw4gL1793IyQaVSKf71r38hKSnpmZRurTI9GYaxyjYjJCFHCUskXLNmi9BrHbXFMIxVtidJ8jnqrcm5WbOn0WgcUpkmTE1bDFJCNHL03Ig9Lq1T8ma2JvlHEotZWVlYs2YNfH198fe//x2RkZGc3xvhbIhEIuzbtw979uzBe++9RzU8BwwYgM2bN2POnDlYtmwZ/bc9z5lUPNRqda+2mVysTQKj0QitVutwgxvDMJy2zOnpOTk5qK6uRkpKCsaNG4fExEQaQZjnZEiFxlq0ZDKZaB+RwWBAZmYmtm3bhpiYGPzmN7+Bm5ubxfmQZyErKwsHDx7E2rVrMX78eGrPHqRSqVXJQAB0RCb5rOfC9OxLKby+Ylb2ta1nwdTsKwWlp7Xn7OyMI0eO4NNPP6U6Fo2NjQgODrb5vZpT78l/hUIh+vXrB+Dxw6pSqTjPi7xIdDodPDw8HNqSAH3PALVmi+Rk9u7dixUrVuDdd9+Fk5MTTWZamzbmqCCQQCDAjBkzMG7cOKxYsQKfffYZFi1ahIiICIuhUQKBAL/4xS9gMBjw0Ucf4d///jfi4uIc+py+lM/sLUQrVqxY8aR0ZB4vL1iWhY+PD4RCIQ3FQ0JCqBKVtX4VIghz8+ZN2hXZ3NyM5ORkJCYmYtCgQaitrUVLS4vFT1dXF7755hscPHgQcXFx8PPz65Ow2Fr0R5KJ5olLe3YqKytx69Yt/PrXv0ZwcHCvJAMcgdFohLOzMyZOnIiWlhbs2LEDPj4+CAgIsHCgQqEQAwcOBPA43zRixAi7Xb+9hUAgsFqqfhLwDuM1hcn0uMV70qRJGDJkCC5evIgzZ86gsbERzs7OlCpN1LaAx/mm+vp6FBYWoqmpic48aWtrQ3l5OY4ePQoXFxcqSGO+WEnmnuS8SCt+bxZjT3vECZA3vPlWjyhutbS0dGvKI1PmzW2St7tWq6XXuH37dgwePBjR0dF9TvQi9zUhIQFubm5Yv349JBIJnZdDtidkCxcVFQWlUoldu3Zh/PjxcHd3d8gBOgLeYfDoFbRaLby9vTFv3jwkJSWhsLAQ3333HYqLi6HRaOhCJ/v1q1ev4tatW/D09ISbmxt0Oh1qa2spQ1StViMmJoZm4c0XOWmFLy0thbe3NwYPHswZznM5BlL21Wq1UKvVUCqVUCgUaGhoQElJCTo6Oujsms7OTmRmZmLDhg3Izs7GuXPnUFRUBIVC0a3pi/R3dHZ2or6+HpcuXUJOTg4ePnwIf39/BAcHIyEh4ak0SK2B3M+hQ4di7NixOHr0KK5cuQK5XE4T6CQP4eTkhOjoaLS3t+PIkSOIi4vrM6fR1w6Dl+j7H4JQKIRMJkNNTQ3Onz+P7OxslJaWwtfXFyNHjoRarUZhYSG6uroQHR0NhmFQVlYGV1dXdHR00DZ+X19f/PKXv7TgG5BJclevXsWwYcMwc+ZMutcmDz8RCSZ5A/JnUtasr6/Ho0eP0NDQgJqaGhgMBshkMgiFQixatAgxMTE4deoU8vPzsXLlSkycOBFNTU3Izc3F4cOHkZeXh4ULFyIxMRFVVVW4ffs2bt++jcbGRowePRoTJkzA2LFjERYWBrVazVmy7msQ6v2+fftw8OBBqoI+ZcqUbhR4g8GAr776CpcvX8bGjRuRnJz81M6sr5OeT+QwbO0Z7Y2ys3acI/Ree3tVRynCfWXnVbVFmIpisRitra3Iy8vD2bNnkZubS8ViPDw84OPjA39/f/j6+lLJuvPnzyM9PR2JiYkYOXKkRTOYwWBAVlYWRCIRPvzwQ6pRQn7MHUNDQwMaGhpQXV0NnU6HqKgoREREIDIyEhEREYiKikJwcDA6Ozuxf/9+7Nu3DyEhIdBoNFi2bBnGjRtHS/VisRharRbffvstPv/8c1rpmDJlCiZPnowxY8ZAJpN1q4L05t47MiXN3ncnkUig0+nw3//+F+np6bTc7e3tTSfOCQQClJeXo6GhAQUFBZzzUHpL/nvhDoPoGvY8xmQywc/Pj7OkJRAI6HE9L9hkeqxKZGs6GiEyKRQKzhtmMpkouccWSCbfmtCPyWSCl5eX1TJwT1tqtRoKhYLzTUCuyxESDSnhKhQKzqoN4UPI5XKHbGm1WigUCs6KkslkosOByFZCLBZDp9OhtLQURUVFqKysREVFBSorK/HgwQOoVCr4+voiMDAQTU1NMBgMmD59OoKDg+kkNOBxOf7KlSu4efMmkpOToVQqUVVVhcrKSpSVlVl1DP7+/pBIJHRGiHlpkwgDnThxAseOHcPf/vY3vPnmm6ivr+82fpPkUMrKysCyLKZPn04jGlvsR5ZloVDRnck0AAAGlklEQVQorErnicVi+Pj4WL3f9o4XiUTw8/Oj3w3hT9y/fx8VFRWorq5GW1sbpTFoNBrI5XK8/fbbFs+VUCiEn5+fw1HRC3cYTk5O2L17N7744guLcE6tVuP7779HWFiYxXESiQR79+7F5s2bLTQd1Wo11q9fj1mzZlklbzEMg8OHD2Pjxo1oa2uz4DoolUp8++23GD16tM1rkUqlSEtLw/r1662Stfbv34/JkyfbfaNLpVKcPHkS69atw8OHDy0cpVKpxJdffom5c+fapTZLpVKcO3cOa9eu5SRqKZVKpKam0nkWtmyRRbtmzRrk5+db8GmUSiWWLl2Kjz/+2GIhkb4Ikl+QSqUoKCjAmjVrcPnyZTqegGVZtLe3w2g0IikpiUoHCoVCNDY24sSJEygqKsKQIUMQHR2NoKAgFBcXIzMzEzKZDDKZrBv9WqVSISUlBbt27bJ6fWQmLMuyKC8vx7p163Dy5EkL524wGJCUlITDhw/b/Q5FIhEaGhqwfv16pKWlWdjS6/UYPHgwTp06RXMt5iBksY0bN+Lw4cOc81eDg4Nx/vx5C4YvyR+RZ5m8zDZv3ow9e/ZwMjnd3Nxw6dIlh0ZQEpsvPMIQi8U0G92ztqxSqayGTLaO02q1dvkQ1o4nNshsUHsgtN6etXFiR6PROLx37EtbRNfBmi1H7pG5LdISbo301RuJPoZhqC2RSISOjg7s2LEDmZmZeOuttxAZGQngZyr3zZs3ceDAAbi4uGDq1KmIi4tDc3MzLl++jFGjRmH58uXdCHFkO+Mov8CcoMV1fYQ85qgta+QsgUBAHdqzOr4nGIaxastkMtkd29jzmBfuMHjwEIlE0Ov12L9/P7766iuMGzcOw4cPp1schUKBCxcuoK6uDnK5HI8ePcK4cePQ1dWFsrIyLFmyBDNmzHhppeheFzw3picPHrZApOcWL16MwMBAbN26FZWVlRg7diwtycbHx0OpVGLkyJGIjY3FkSNHcOfOHSiVShQUFGD27Nm8w3jFwEcYPJ4azs7OKC8vx8qVK3Ht2jVMmDABMTExCAwMRFFREfLz8/Hee+9hzpw5dMtIOBfPuqT5vw5+S8LjpQRJHl+7dg1ffvkliouLERMTg+DgYFRVVUGhUGDFihUYO3bsK6k09aqirx3Gqyf5w+OlBOnJGDVqFG0HT0lJgdFohEKhoOI8XPNseLw64COMZwB7Yfb/wr0myU9SNiSVC1vbkL68b339HbxM32lvzuW5Jz3tsdd6g5fVVl/ZI+3yGo3GKrmM6Iz0Zu/+si4ke7as9ZFwgbS4WytBi0QiqxPmuGzZKkELhUKrE+a4YDL9PM/kSe315X23pR8jEAhoR/KzgE2rOp3O5n6TyMs7AlL3t3ZjemOLDM+1JmhCbDm6KEn935o9hmEsuiC5wDAMzp49i1WrVqG8vNziSzMYDFi0aBH+8pe/wNvb2yHOCBn5Z80B2RIU4rKl1WqtMlzFYjHlgdgDWeDWroEoiztii8yVXbVqFc6ePct53+Lj4/H5558jJibGJhfFyckJVVVVWLVqFTIyMjhtRUZGYtu2bYiLi7PLayHDu9euXYuvv/6ac45rYGAgdu3aReet9gTR6LD2WWSR23NghGu0adMm7Ny5k3NMpFQqxZ49ezBhwoTnq7glEomwfft2bNq0iVOmz2AwYOvWrZg+fbpdbyaRSLB7925s2LCBc3K3wWDAunXrMHv2bLtDZhmGoSpFra2tFg+kwWDAJ598gvnz50Mul9u9aVKpFMeOHcPq1atRW1vL+YB98MEHWLx4Mdzc3OzaI7M6rC1gezTlnud27tw5fPbZZyguLuY8t7lz5+Kjjz5CQECATYIYYX9++umnyM/P57Q1bdo0pKamon///jZtSSQS3Lp1C59++il+/PFHTlvjx4/H2rVrER4e7hDZjFCmrTkYlmUdVlITCARWNT+AxwvLERW13tjT6/Wcz4ZA8Fhndd26dThw4IDFvWJZFh4eHvjPf/6DN9980yGSn5OTk801p9Ppug2Dem5VEvPefS6YT7KyB1u2SCj/Imw5Yo80Tr0ImM/87AmSFzAfVuSILWtM0t7YMl9ET2vrfwFkkVu7H9YcztOCL6vy4MHDYTyTpCdPnuHB4/VEX69tgYkPLXjw4OEgeOIWDx48HAbvMHjw4OEweIfBgwcPh8E7DB48eDgM3mHw4MHDYfAOgwcPHg6Ddxg8ePBwGLzD4MGDh8PgHQYPHjwcBu8wePDg4TD+D+lK9u9Dys0uAAAAAElFTkSuQmCC)
physics-General
physics-
A ray of light passes through four transparent media with refractive indices
as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486791/1/932122/Picture26.png)
A ray of light passes through four transparent media with refractive indices
as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486791/1/932122/Picture26.png)
physics-General
chemistry-
The acidic character of
alcohols,
and
is of the order
The acidic character of
alcohols,
and
is of the order
chemistry-General
chemistry-
Ethanol is more soluble in water but ether is less soluble because:
Ethanol is more soluble in water but ether is less soluble because:
chemistry-General
chemistry-
How many structural isomers are known for ![C subscript 4 H subscript 10 O ?](data:image/png;base64,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)
How many structural isomers are known for ![C subscript 4 H subscript 10 O ?](data:image/png;base64,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)
chemistry-General
chemistry-
Methanol and ethanol can be distinguished by the following:
Methanol and ethanol can be distinguished by the following:
chemistry-General
chemistry-
An alcohol on alk.
oxidation gives first acetone and on further oxidation acetic acid. It is:
An alcohol on alk.
oxidation gives first acetone and on further oxidation acetic acid. It is:
chemistry-General
chemistry-
The alcohol that produces turbidity immediately with
at room temperature
The alcohol that produces turbidity immediately with
at room temperature
chemistry-General
chemistry-
The conversion of m-nitrophenol to resorcinol involves respectively
The conversion of m-nitrophenol to resorcinol involves respectively
chemistry-General
chemistry-
At 530 K, glycerol reacts with oxalic acid to produce
At 530 K, glycerol reacts with oxalic acid to produce
chemistry-General
chemistry-
The following reaction is known as ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdEAAABhCAMAAAC+oGtoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f39wAIAO/v71JSUs7OzqWMlBkZIQAAAObe5nNaezEZKRAICDo6OsXFvTpaGXNapRAQUqVazkJazqVahEJahGNaEBBCUnNazhBazhBahKWlnN7W1q1aUqUpUmspUq1aGaUpGWspGYxaUqUIUmsIUoxaGaUIGWsIGUKtWkqtnKXvGUKtGUrvnKWlGaUZpULvGaUZ70IZ70IZpe+cpXvvnHPvWhCtWnPvGRCtGXMZpXMZ7xAZ7xAZpRDvWnOlGRDvGXvv3krO3kLOWqWEWkrOnKWEGULOGc6cpRDOWnOEGRDOGbW9tToQUhAZEEJSQlpjWhBCGa2ttaVa70Ja76VapUJapWNaMRBjUnNa7xBa7xBapa3v3u8Qpe8ZEM4Qpc4ZEIyUlHuEjK2trWtrYzExKYyEjHN7czEQCN73Qt73EN73cxBjGe8Q5u9aEO/OEO+UEBmM7xmMrc4Q5s5aEM7OEM6UEBmMzhmMjO8xpe8ZMe9zpe8pY85zpc4pY84xpc4ZMe9Spe8IY85Spc4IY62l5t73pe/Ota3mrXul73Ola3ulxaXOa0qM70KMa0qMraXOKUKMKaUphKUpzkIpzkIphHvOrXPOaxCMa3POKRCMKXMphHMpzhApzhAphHvO762E5u/OlK3mjHuE73OlSnuExaXOSkqMzkKMSkqMjKXOCEKMCKUIhKUIzkIIzkIIhHvOjHPOShCMSnPOCBCMCHMIhHMIzhAIzhAIhHvOznOllO/Oc+9z5u9ac+8x5u9aMe/OMe+15u+UMe+Ucxmt7xmtrRnv7xnvrc7Oc85z5s5ac8615s6UcxnO7xnOre/OUu9S5u9aUs4x5s5aMc7OMe+U5s6UMe+UUhmtzhmtjBnvzhnvjM7OUs5S5s5aUs6U5s6UUhnOzhnOjNb3zs7OnK3O762Mva3OzqXva0rv7zpaWkLva0qt76Wla6XvSkrvzkLvSkqtzqWlSq3FlHOEUmtKWjo6EM7W7zo6Wvf31gAZCNb37973/wAIEP/v/wAAAGmnC/wAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAASvUlEQVR4Xu2d226jsNaAcW3XJjHc7Sv8SJZBeQPKqe+6H2Okv9Lco+moAv1r2ZCS9BBCm+y2w9eZhtKQJl5eJx8WwcrK2ZiGsYa7w7p2DwEv/c8r35C/j0qqTklGg6BPU+JOFlXiHle+H/RRRQU3eSWbICAp82eL7SrR70otS1DOIAhTW4CODhLdRatEvytppf3B7n6DOkp7QgOaVzt/duW7obfZcBT8rmjAVMrgK9t2xXB25ZvBRTkckbQKAyaVgjDJSrFK9H9OwcxwdA7PEu0Z2F8WxXHMY16vEj2AAuPh0eOl0FknbXP+X6HV7+EiXWUkSFnvfiiqHy1Rw32SNhNdV9JWOTYUZak/Z8QSBZrNU21VWm+VKM6Waalyf1DLuyB4ZP6j7qrh7E+E1lZmQzw4hweQJ3iimy1HiVb+pFEX7PO0Fqra9QGBd8rO631odm1CCaV3suLP2csP1lGaCyWEFfnchuJbW2pKeHuT9pC+Dzq6sxfLBnpTKVF73dSl6sozeh+SKClYKiSkowFhj8OY0U8dYRhbKwElMPNkWsvaPZFsbA46GrmTgcH2uggmlcL5T52DKImpOuEM/hy4Ez6vIL5VDI8pa/EMSDT6kTpKTNrd37lPrTdWtn9myPRvFA3P4pahRMGgAYm6jB/lre1ar5SJsKipfS5sNKv38VI2vvOFMdf+Cj4M0FP+5A9+FLy0iuEnpNhk8e8bNdi29+D2cTgiTFBaSo8Sl7C6urFdOk6SkFzcRNhvQjS9J6dOaCPk/tp/Amgt9RjjEWUdipIk1U11MpZEzfQ8sYrQVlqwaBApXSDWhYDIVoXPNhwhCNgZT55KW7+rZPBhum0yufbHQ/OtqorBdpnqRuAxRr2n0vhniRK2pTSrKCWEkuLTIyOKvj0/kolhIEo0vfDL7du9j5ioc8/7Z6AFxBfJsy+izf2Ns1AcWqzxbusNwrQaWpnb9HKxbm9S6wOiIwoIzVGUrve9nskQPbqTfwVore6+OTRaf7JOOVFC796+G0veDuEGxdSdtGM+ev+ZsSOJfyv1RpYCovTi4qyzTehPTqF3tov4P2RwKWcQPj4df2JSRJAW4AF4r9S80SAg6jCVJafUtBLz0fQCOtr/2ryrY5oNSanZQh591PvA/Mht8l6X/GlAQPSGr4RYUkUoyl9tp14dRKI5A03kVQfBbddV0OaUbf2vjPo0iT419136/qu5pNQ5fuh9U9ML+ZgUd/+SPNFkvd1akBZY3/mj/SjNMxTObl32UFfWRn5cNxtymd1nxboEQ7aTA1gQNtkK/6Ju1WQIE7Lqf8yB5hDSH4ePU3qeDjFiIrqjTIaDuMe2w2UAHjK2/ef4LbCZVvgxqRNg9OPeDvY+b3qfanFzQrl/Fr61DqT0kj7fdhWaXkzuXe7n0RBuXL61ICA6EWo/43sfxHcEe9+OwscD0X5Ox7oilPLz55McEBB13qSeAA3zbx9L7puXFsJeIV+/7dQw4jcL6H3SLRcKG/Al3yADpcVL18RTmb4SsJ+E8nLmuC2AoqyxZRPQV+hAkO3Ik8r9GeTybt47HMGk1OfRkTx/nu3qUFG9aEV+q16enMGd6tJ4/gfeReMgkpCsaFTXXiXcyDGpPW/6HXpfh0mpFuOSvy9MLuXLN8lttESiTJ7nYXCOOcVB3z9MKpl+Uhx7iqJLgkCMq0hmsqtwKptu0y8vUZqyzo/ODLgPygVKFA+p+/LfTvL7ngfk75xnjuiy82l8LbNrhRs5TrLaYd3IbGgNCYuuFnmjq7JruFJOBoTyHEK52jkMG4VPeR5Ctl/n6OyKeo6HY+IPpIznDdRhWgA6U8jb4cTFqbsiIPe4P+U8oAs8bb+8REnL+1Q6GVBmVZHnVoJItYjypLapxjU3GIkmdpJjvAmzPEjkmYul+sI+/g2Km2E71+VpUEdFerZEAS6yJZddEw7Gp5Bu5koXEkVbW2habmXck1aCj6udhMwcgQap0OCXz17+pv+SIOmutmquVmAT7OMyibKvrqNNQoPQqSVgMUbSFtwqFxW8cxdCQCwM+fVmMin2Jn0KfrQYlzmeRyKvp6NqB5/5XD/q4PfZksuuiBZ1nudiUCslod9yddfjpCQcuhDCdWk6a+EFicQfkstFy98WqPZSamVQokt09EEsuux6kKTME3SYwtkSp6McdVRDZAQ6arGVabWF+GjWCij0o95Kn01+RR2Fd6mXSfTL+9GnSAd90NPtDSaFxOsojnL5fDTx653rzrC3ZjIPoBHk3/UyHb29oo52MRinhZHRF/ejxZCJJrLEAyvh7WrVoDVGie4whABJCzt8jlM+BDdRfgMdVU5Hl6S/sfD7fr8oVLt5SEB3EpSQdmB1yc62JIgVWt1ROM3waCBBfY8+ip6W6ugV/WijHqDLLhIN6OhXluiu6nCxQBD8gqTTNrzBWd2Yya5+aDvZ9IWQkZsU5pGPi1LnV/UTfUtXP6Sj7q1cgb7sNOjo5pTBeY34/mB87TPYT/1+nL6AMNcpaZjfwiGH/3lo8LvGb6SAONjNVSbDeBG/hcdC3Jc5328DnEIr0Ox6mWgWXraE0sW6i3T0QZzdEfxmAPhj/nH4q/6IBETn9VuG7/0rD888K9mzM5m4lcmbxkOaThu7sLKTUmSJHl9xTxhBpLVQNAuTngWQskM/ukhHCwtBxmnopAl5yQBoE4OPJYagVOcl2xSUmyDe3hyEaPtVGwB3F+CVGRxs0E66K8si1IbCqcbJjNb4tDkDQB7oQ6w8CCJav2Ghs9uyOJSqdjp6s0ii19RRiRJ1seC5FGrWbmEzWSVIeSNTAw0exqV85KCQfW6rgsdNhavMjdhOX5FPegzltRQxXEnhSsZ/4ZUqhSvvqm0T8Bo8o/sMGvoZ9y/i1HXCoOb7R6BvrNya4QcHeRBepEBnq7KAc+7VMBkCHS2XWt1r6WifKRqYhTqKicBpbg/WCe7kxh/4z0gav+2O7HD09SmdzkT3+bAw2WOwOBJy6yp00PqmJqBdpLjBGgG529mI58dlbFy8xtZ9s+4BsErZ4XBgezPIc8AOcRN0li3EuptlEm2uqKMQGfFukY7u5nWE/ECTjRxqNPigsZBDQbKgfgz6v48Hawt2BxLlo0T96J2Rw4Y9kmBlllhIv3yZZoMEYqvc18E/+I/bIN0D/htxZ/zZQZLPjJkkrcAnLNTRBseQr0PZoY4us7rz/Gh+sM5wN8rFeZYw3c8bGvjIYVpNn1sc6eidP3AShSvHNgqxa5gWtBT9ZzhKNKDkJbhjCB/cdwftx1P4RYiuBkEiVpTJfn2HrrJwqbI1l9yPfwBmLz1fFuue9qPOMeUNBBh7Z2TAHrjTTkdjIR6GX2AYRNl22HiAT6FJ5R7cCZRo6X4E/wmy5FLs4x+Mj01JNhJnVGjmNv9NcS/ZYzDtfhzwP7jfkWGnKwLJq0N11Sbn03SKVo+LdfR6fpSkEnRUDb3/PIqTl8UQi7aVyMqMjXn5Drp9mbVZWWHT5K4W5B79vGWLZW0ZCXjm79HocWlLuC6DFwTzWkgxnPfsSvwsYGvC7L/DKYAaE+MX/BvO7CE6NpoGGGvVbuDeY5xAbbUpfg1vZY+u4M0u9aMX2r39CkyG4HEWrTosulNjlSF/iP9sMhNzo4f2MYrxOOYPEPSCkHN5kK7QvR+lMVxZC/3A49GIGghxH/BSZ8GOJWrAPesITDqZ6igX27Ity1YNhQqf4Y1I25TluLqmkc9L4AoBAe6hbo78QR1danUvW9dmwqCji4aRZ07+vudHQUenQwrgR6cNn7zjR5OXOgo2QXYmnG5FN41zkvnERHsKyzj4Te4sRT9dARqHx7o5EtsMrK5dJJpGvTASF6JHHeV21iaJY4p5HeE41t1nL9AftDjouyGbE+sm6Ee1tHvJ4Zvfudn3AgLeiY72BQgSlyzIIzEYOyxj1G5vYDVrmarGcexsmfm8u0iFhdcgqaDg2xbp6Mz5hNyP5gzs1D57Ae2g7SgmsLM6+Jtup13rUEf32p1j62DZA/8jOEu4yOkovidcdzpC3CGJfAJCQk1Cg0EQFXJs4BoFVOHKlJNw21LwUhMTMJ/SXm13LQOJFsv86Mw5v3Eg3LMfJ/DRn7FYdAsgmL08+1FHMWyU9TzrqBth4GpQUhLjXhL0o8hGdsdNXku33joubVPUFU6wxNaOxl6jdlbbeToKVjc7VvdZ9OXlak8d4XQ0ORnivEo+z4+G09aihWQ40hPQRjpJF7bCgTadJJBcQDIzXd0fTmTTw5Utxis9rSVOkmBstL8yoLdZ6K7U0bM19hjZuXeQRHLLqbbwgRt1uLBqO0tHHyxYG9DRBcpG26tFRqCjITrEgw84kwXz8rzcKotrmE0qlHW7pDmzgrFHFAuPrN+h+gqaVarDWRJ4vrIZPkuXVmRZ+n94JRN2SJD0UduFdkgFyS0uMQKR4ODsgSeY7UfBDrBFOkoWBlQLoJUgEDwuk+j5Cx3pAyYg0HwhZCVmGFHXcOz+PjWQ2Exj3wnUQD6D9cxCfNJ/3ZXgFbnPMyjmnMOVw6sO0NIvSQFyZ4pKJ9HD7Vugo31AIcUafn6d2Em0WxK0kux6Ohrdgx8ditSdAY7kXGDO7/Ojh7zb+8jc6ShKtD5Mg72ONm1q393o7soGt8t0tD32BReDbEFH+bnbpmiO61iut9JiOVzejMOMYFNQRzOcmlC40NOD7hf96I5Tyt7NGgucmfh9vh+FzkOyIQC8PKTC3Pu899ibVGG+k3x9iZJ09PU5BIBq1NFgfzrgmPpU2zDQ0PD63TRuZ0FHS3GmaKhhBfjRcy9bDBHyqMrSKShuH3V7W68457cQCItT31v1Iw1uOxx0wsgIghzp9u1Tjuv/iNspAYTversCJXoQuZ8GWkvaBHX0vOs+QFJ19+9WxzoCK/k4Ix026stL1FhZQwBm+C5lVKeyMiS2Eiun6rRrC2NqPKaJ8JkUhMzvaVLSnW06sTxruoO8rNzPMV0eUovuzepYx/zKrYp28GSsHFHN2f7zv6SvGSvLNsOvIshblt3yzW/WoqHti6bMaoOCfMDFTygr0rzbRV2tyzM6f6Bre+PKZtI7KVl8zqUfQ5e4knWGdGiyVQKze1K8UnnsazJObuMhPvh/w6/8Y9DDOezS0xVRr9EXlTxdaXUE67L6RtpVkITbLsr9IMg1iNNXqmMdQ7HqmFszBAevVgf8osxtRr07KawQq8fNMr2usKebo8CaphsdxK21op6jOJ9DLk7U+fWlDdG9Y1kX9gOrOroK7idlqk9WWkVc3SO3y1i71nInNdaNY87QXwOKve/NHkR12fnOibUi5vXSb4YuEx7vZriSYtuduGEKtBYWBoIjvbmxk5qmNImUjYrJNgyqTexanexrvxtv/UIcU/uYRk+qYx3R/4I4yBU3h4DouNLdD4HkWZaVbM4MCc0FhPtvNgLxjYQBUS66o/Cxf2iFFHeY/CKGyQ48GBqHbJg6NK50B/4NJbs3txjMo4fe95q4KFa5w/PwZ27ET6266iOo4YcToCndvFiH5MFGcje2oYVQ9pUCSLoR9v4/GPn2texEG3W4wvX5DiFYkRX/QJWlSh7MLi7A1xM7fBEsbeiCdndXk1mr6L8nvQ945xFjQcRX2oLusLVQs6C1bPPXnz2CFqlSLAxiV5OMPLXyLghHHY1xzU0OYiBBr7NxdfNyeKa6qemlOOK3wbduHoeysSsIVkZ25TmnUKzpv/kFRzG01js33aKmhN821g8j86oMyKijO2UCLYa1HGF0vEDqfKZ3YwrIn9Yqt6J5f1eTlZFfG7xT2lRP942EZWvT+F2NBwMfpuOqG0ySW8FjY+KHW7sLzL760c7taf0gPVazc7frIdzaR3yHEBl1LjJamfKAMxajSCn4R+mqAIYYGeHA2gm4GkpfI0+l7FSnlJLCBPl+fpyPC+0+Bh0HkWiNkqW3Qk3vgrEy0ifb/SCSqewWG6nHm+LNUqznm74AtLXMEYGO5vs9FfzjjtSBtwIbex8pRHeVurDfkic3iIStk7sq/mROiewBLUaJ9jSgvyOIzeDLgB9N9ncg2C+X+zCuMjIGYnE6Z4zkHwYHkXAGB60s1gh/6w4rL6HlGPY0labjPV84SJN3443Q7z5xfRJtwM2bVio2bnBYeR0cv3dOiTNorTPCx3zYu1HI6jkfxXu+0La7xRckuTzYIv1ROLOyu1ad3+8MxQnJ2NV5P2tVLmVS3HLTWBAi2Y8ZoQ/lQmZFbEo1bHP+LPr6xU3UVl5FMwxUt+NN8eai0+5Gqg4L8O7vnWbcWm1TdR285Offy36V51wgjV8wnkZ2DWPu/gSkHkIg7avZ06RkLFkDmP8hEK8uoj/W6/FnjHxXVlZWVlZWVlZWVlZWVlZWVlZWVlZWVlZWVlZWVlZ+MkHw/9MehJkZBHLLAAAAAElFTkSuQmCC)
The following reaction is known as ![](data:image/png;base64,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)
chemistry-General
chemistry-
On heating glycerol with conc.
a compound is obtained which has bad odour. The compound is:
On heating glycerol with conc.
a compound is obtained which has bad odour. The compound is:
chemistry-General
chemistry-
On conversion into the Grignard reagent followed by treatment with absolute ethanol, how many isomeric alkyl chlorides would yield 2-methylbutane?
On conversion into the Grignard reagent followed by treatment with absolute ethanol, how many isomeric alkyl chlorides would yield 2-methylbutane?
chemistry-General
chemistry-
What is formed when glycerol reacts with excess of HI?
What is formed when glycerol reacts with excess of HI?
chemistry-General
chemistry-
General formula for alcohols is:
General formula for alcohols is:
chemistry-General