Physics-
General
Easy
Question
White light is incident on the interface of glass and air as shown in the figure If green light is just totally internally reflected then the emerging ray in air contains
![](data:image/png;base64,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)
- yellow, orange, red
- violet, indigo, blue
- all colours
- all colours except green
The correct answer is: yellow, orange, red
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maths-
if
is the Orthocentre of ![straight triangle A B C t h e n space OA equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAAANCAYAAABhEGbNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA6NJREFUeNrtWF1EnXEYfx3HkSSSmRwTyWQXEzOzizmii0kyMZPMzCGTyUykiyTZTWaSbjLHccyMSWZ2N8kkMyZzJBPJLnaRccwcORLtefi9PB7/r3P6vOjhx/s+7/M+z//j+fr/o8hN3YQKoSuqnZ55vrP+A8IvwjbhI6HFINdGmCH8IOxBfprQFDAGlk9EZ0/XCAXCH6AAno/Gz2KwvGBFOEGxxgV8QNgnJC3f27GhknhT84o3SvhEuCPGcQXOlRe61iw2iudg83kt1hFMCaALvAHHf52EQ0LHaQ/4OWEKz1PYhGqoCQv/mXDPIsP8t4rXr3hjhNcB9voNumIb785B5G8RGi3rtOXIBG8IOeDUqJmwSajHez3em6vQsQDPfkSYt8hMYoMlcVq8i+erKAtJj61JREmMMYMNHvsrwi6hRBgx6LlMWERZ4hKTMdgZhVwepcWmS69F1vE9a3FyznI/8byJ91MhHvCg4g2AH0K3kbLjRd22yL1HhCaQ6nKqZ3gZ0ENoXSY+b9wqoQ+20tjkeiHXiIzVJ6J2w6BrBJufcejStGPpa2JqgcNp4vkP43kYPZCLDgPgpU5LLY3Av+75n6P1u/LWdUsN2xIDK4vIj4TXtwc6AEdKq8UGO2OD4pdURpsxNFv8X0rpGjLYKHmy437A+LVMAwInJdZ1xzCPYyfXJrucQ6dJSS+EJ8sms4znFJrNr0j78fdKFQ3rnoVfNkRnUsmz3F/CJcX7J5pOOV6XrlodoGLo/CcUb8JQMo+VQtL8gqNr7UC0a8rgeCfpFmFZ8QZFmkthA0KIdX2x8JctJWpFyZnS5ZqSWQnQZSsB6SpKQBLR32RpGBMnUQJCG71m1MY6w7dVh2F9HBwwdLYPVTNU9tRWqatg4ecD+H2o7z4b+Sr4OmiGHN8fq3k/8Wxi9iSifxpHvxAaFUfEmHiCs45/+CjWI97nMHFJOZVdcoHHT7b71MA32Yj5WRXF3zw25iwLPxewIR3oUUzHwEbDMXADF18majU0p0emNlzIhF72JCDfJlJY0dOgZJWDLImmj2vvfehMqcmWUA/jdMiZpxfO0Q3evOWcvKSczsXfxIkjAVvjuHiqRZeJ4vllxEVQt+EiqAdH0aiKYDoyfQisHxpL4njU67GRhqfLzjnWU8Gk0pabvAL6gUM0a4tqATh6fuN7Stmos3TtdYYg4BJ2AGfIBvzj4tsuhAqYwy5Kh74A4l7mpkfPDYz1gi7oaPQfiIwN8EhLn9MAAADPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPiYjeDI1QjM7PC9taT48bWk+QTwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48bWk+dDwvbWk+PG1pPmg8L21pPjxtaT5lPC9taT48bWk+bjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPk9BPC9taT48bW8+PTwvbW8+PC9tYXRoPt4B21MAAAAASUVORK5CYII=)
if
is the Orthocentre of ![straight triangle A B C t h e n space OA equals](data:image/png;base64,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)
maths-General
physics-
A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n2 A beam of light is incident on vertical face of the block (see figure) After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle q The value of q is given by :
![](data:image/png;base64,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)
A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n2 A beam of light is incident on vertical face of the block (see figure) After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle q The value of q is given by :
![](data:image/png;base64,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)
physics-General
physics-
A diverging beam of light from a point source S having divergence angle a , falls symmetrically on a glass slab as shown the angles of incidence of the two extreme rays are equal If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is
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Bk+3cjcVAf8fppC2ZDee8OjGmpQrYEUZ4gkRJvjFmlgj46GtksS0zo3QWxbZsjbfE8KG5chTE5CXmm34uOCzRRYYRXug6uEg080rRIYv8uahEof74xLSV/JsCKxYjv2k6s2886cgBaJmozLwBNEOUIEinxRuQZDDAmJYpR+bSFsxHbspEYqc+2Pg5tUADMSkXBkb9GpjXDMU6N1c+yMMMlE2s8s/CYCZVnqb+D97+yrNSQEAf52dNiTmlC1/YiK825eA762BixkoogygskUuKNMLNmu8bLE7K9O1mW2Fv0YfIloSp3VxizZH8ouCSlEVt8stHYPhmfnUpEq8sSnA5X/H7kvhBz/lYlGm9PSPn81J6dRV9pxuZ1ULu7iZVUBFFeIJESrw3vm+R7MPEBpZTpE5HQuTWShv0sslE9yx6LatIXEptjwAL3TLxvFY939sbgq9OJOBiU+8ciLcDAmvh8G5KUKeOR2LsL+zgO8jM20EdFiOyYIMoDJFLitTFlZ0P9xBWZOzYjsW83JPTqAumWDaKIsylHXnBU0cTlGrD4qQyfnErAOwcKipYEv1qkfHmomPC/fzeSh/4slo9KVy2F8vZNmg5FlBtIpMRrwRco8W1Ask8cRcqkMYjr0FKsq1fcuyPmfr4qO+QiXeohw+c2TKQHY1HLLglHXkOk/Bub1CoxYp86dwYSmMD5JH3Znh3Qh4cXHEQQZQuJlHg1XGZMlsq7d0TB5sR+3cXkez5pnpfOKzjkpby1SAvgE/9lh/fnz1nt2RmpMydDcetmfs3S13wNgigpSKTEKzFrWfM6KABZXGRjhovmNReq8o4TTPKXN+kLsVSkYh2+80NkbFwr5pYmDeknCkBrfLzEdCyCKEtIpMQrMaSlIocXXl4wS0hMwpr2YoApKuq1J8dbKlLwgS5eOPr8WaTMmCiyYsn4kZCfOQVDcjLLiNnrvCotJogSgkRKvBRea1Tj6w3pprVIGjYAycMHQLpuBVSuzjDzbUJeE4tFyuAT8dVPn4jBLjG3tEcnpC9fBPUzD5j4z0IrnogygkRK/CFif3pputg+RDJhlBipT509VWSB+riYN8oAi0OkPPvVx8ch99olpC+ZJ7Zw5ns8yW1toIuKFEVUCKIsIJESRcP8ZsqWQfXUVRRs5gM8fHM6XndU4+nxxtIqDpFy+PcV2z2fOCJqlsa1bYa0+bPFwBNfh087jxJlAYmU+B1cbSa9HuqwEGQe2I34n3sipktbpMybCdWdW8iTSvMPfAOKS6ScvBw51I8fIXXhXLHOn0s+fesm5Hp7QSeXM5e++WsShCWQSInfYTYYoJVlIvuOExLHj0JQgzoI6N4R8Vs2QuXvBxjevC+yOEXKv78yJATxB/cjtG8PRDVtgJjRw5DImviy4CDoaRSfKGVIpMTvMLKsTunng/Q9OxDdrjnuf/oeTjVtiHNzZ8Pj5k2kpqTA9IZN6Fgm0l+WiO57/SWiv8VkMkGalg7Pe/dxZuUK2LZtCddaXyOw1U+IWLIA6U6O0L5FxkwQlkAiJX4FX6HEqyvJz9shddpExLRsBPtvPsXMWtUxplNHrF6yBJcuOSAqOhoajYY1o19PqPFMpCufZaGabSL+dDgO355LxrGQ1xcp/z5q9v1iYmJx08kJ69eswaAuXTC1dk1cqlMDfo2/R9TwgZAeOwRtRPgfFk8hiJKAREr8ByYrkyxLrKfPWL8akp97IrFnJ1zv3glTW7dE55Yt0aN7D0ybPgOHjxyBi6sLYmNjoVQq8+dxvoRUtQknQxUYckeKdldSMfyeFFdjVUWX0fsNarUKCQmJcHvyBNbWpzB/wUL07tMXTRo3xrhWLXGtfx+EduuImF6dkb5yCZT378GYkUEDT0SpQSIlfsGsVkMbEiKqK6VMGI1kJibpnOnw2roJuxYtxMhhw9G+Q0e0bdce/X/+GUuWLoPtGTs8f/4ciUlJyMnJEVmqXm/4XaaqYgmiV4YBthFq7A9UwjpchQDZ7/ta+UCRgWXF/HUUCgVSU1Ph6+uHCxcuYtWq1RgxYiQ6duqMtu07MJn2wZYli/F8314kzZuFhD7dxFbOWYf2Q+3rDbNGXfCqBFGykEiJX+D7x+c6OSJ97Qok9u0OyZD+kB87jBSWoT5ydMT+ffsxddp0dO/RE81btESnzl0wfsJEbN6yBXZnz+LBgwdCerz5ncEyQi7DwkyVN7QzdXmIkBsRkGlAcJYBGdr/yJYfx4+XsYw4Pj4eAQEBePz4MS5etMfOnbswdeo09GDft03bdujarTvGj5+ALVu34v6dO5B4PUfWiaOQjB2OpMH9kDp/JuQOF9nvIyl4dYIoWUikhIDvG68N8EMmL1c3ZpjYzC5t7gyoXZ2hZ5mmTCpFcHAwLl++jDVr16J//5/RuMlPaPBjQ7Rq0waDBg/B/PkLsHfvPnbMFXh4PBPN/qysLCgVSqhUSihUKmQrVJDl5keOUsW+roKSfeQCjY2Ng5e3N27cuIFDhw5j8eLFGDp0GMuCO6Bho8b46adm6NO3H5YuW4ZzZ8/B398fmTIZdEoF1C7OolnPRZrIQrptIzT+PmJRAUGUNCRSgrWn82BMS0Pu1ctIZU35hD5dkTxqCMvyjsCQGF9wEF+BaUQaO+7Zs2ewtrbG/AULmFD7o1nzFkKojRs3QceOnTB02DDMnjMXGzduxMGDB3HqlA1rml/A1StXcJNJ0olltzcdb+Da1asi47Q5bSvEuWnTZvGaI0eNQpeu3cTrfffd9/ipaVP06t1HvObhI0fh4uKCpKQkMYJfiCExAfJzZ0RVKL41NK8HID9/BgZJErtLUF8pUbKQSAlRPUnt8RQZWzeI1Ut8xZB04xqxvzzfO+lFeBNcq9UiMzMTgUFBcGAZ6uo1azFgwEA0YlnjV19/g08/+xyff/ElvqlWHbXr1BWZKxds7969MWjgQAwdPBiDBw1CX5Zd8u6Bn5o2Q71v66N6jZr48quv8Nnnn4vX+e77H9CjZy8sXLQIZ+zs4M2yVd5nqtaof9cHy2cbaAL8IduzHYkDeyOhd2ekLZkH1eOHonoVQZQkJFKCZW0SZJ86CcmEkaKqUsrU8WJ7D1OmlJuz4Kjfwx9JT0+H5zNP2DHRbdiwEVOmTEX/AQPQrn17NGzYCHXq1kOdOvVEZtmwQQM0adQITRo3YtJtxLLYH1Gffb1O3bqoW+9bcTzvA+3brz8mTprEBL0GVtan8LggA+UZ8cswZmYg98YVpM2bgYRendgNoafYeZRnpaJK1dtM/ieI14BEWpVhkszT6aDyeIL0ZQtF9fnk0UORuXOL2J/+Vf2LZp6dsufn5uYKocbFxcHPzw/3H9zHuXPnsHfvXqxhMlw4fwEmTZmO/iPGo+3PI9G07wi06j8S/UaOZeKdhgXz5mHlylXYvXsPbG3P4O7de/Dx8RF9rLwrIUcuF1nwq+as8uxZ4+eD7GOHRJGV+C5tRFeF6tEDGDOk7Peh6lBEyUAircLksSavLjJC9IWKsnR9uyN9xaL8/elT3nzEW0yaV6shlaYjKipKNMVdH7vg4Z3bsDp/GRN3nkbDRYfxzayDaMw+ztt3GpccLuP+7Vt49MgZXl5eiIiIEFLmg1CvEufvYMfzwiW8ALR03SpRZi+BZdiy3dvzC0ArqToUUTKQSKsqLJs0MuHlXmdN4dnTkNi7K5LHjkD2yWPQBQcJyb4tRpb58alMPFPNzspCdqYUXlFJmO8UiuoHnuNvWz1Q75AXdjhHIEmSgqyMDMhkMjEPlYv4VU34l2HWaaGPiYb8zGlIxo1EXPuWogB0zoWzrImfTKP4RIlAIq2KsMxNNIODApCxZT0S+3RD4oDekK5ZAdWDe6Kvsbgp1qIlL4G/Gq8VIHY73boRCewGkdC1HaQbVkPt6QET/91o+ShRzJBIqyA82zQkJyLX8arYTC6uTVOkTJkgsjhdeJjoNy1uEtV5WPY8B5/ZSvDO4UTUPJeKY2Els/LIrNeLAtCKm9eRMm2i+P1EVnrOFtrQILGCiyCKExJpFcSUnQWVmwvL0tYgrl0LxHVqjcwdW6Hx9hKPvWyk/m0prYxUwDNulRK6qAhk7t2J+O4dEM+yUr4tieKOkxh4IojihERaxeDzLXUx0WJJJZ8zGtO0AZJZtqa4cR0mXuijhJq9pSrSAkyKXCHOlBmTxT78fMUT39JZFxKEPJa1EkRxQSKtShiNMKanQen8EGmL5yOey6VvN8j274I2MKBEmvSFlIVI84wm6GJjkG1jheQRg0RWyndCzb3mAENykshcCaI4IJFWIfiunxpvTzFJne8ImtClrWju8mY+F2ye0VBwZPFTJiI1sSa+Rg2Nvx8y1q8RN42k4QORsWkd1G6uYkUXQRQHJNIqBF+PzncETZ0/Cwm9uogsTewLz6cFabUl0jdaSFmItPD34dO8+H74kqnjxb78KZPHQX7aGoaE+BL9nYmqA4m0isCzUb4nfMaWDWIL48Sfe0G6ZrlYY89HuUuaMhFpAbzLgq/Uyti5Razc4mvxpauXQ+XyCKbcnIKjCOLtIZFWBfj2IZERIgtLnTEZif17IGXmZLGeXmSjBYeVJGUpUrH4ID0duTevi/3weVEWPu0r6/B+aMNDKSslLIZEWgUwybOhvHsH0hVLRDaaPGwAMvdshzYosEQHmF6kTEXKyDOZoAsNQdaR/ZAwiSb064HU2dOguH0TJqUi/2ZCQiXeEhJpZYe5QRcXA9mhfUgePlBkY7xgs8LxOkw58oKDSp6yFinHlCVjN5RbkK5dLro2+C4AfJ6pLjoSZo2GRvGJt4ZEWonhtUN5Nqp4cBepc6cjoWdHUSqPZ2ViPb2p9Koh8e2YFz6V4UPr/O2Yv7Z9u+2YLcHMsm9dZDjkF+yQMm0C4ju3gWTyWFHQmg/Elebfg6hckEgrMXzSudbXBxnbNrIMrAfLwLpCumEVVK6PSjUb5QiRumfiAwv3tbcIdmMRU8B8vNjfZJMo/hzXvgXSly6E2t1VTJWixj3xNpBIKyV5ok/QlCEV68uTRw5BQrcO+QWb2b/59iGv2j65uElVGXE0OAf9nNLQwkGCQXfScTlGBVNpipTDfm9DSgrLQh2QOnsqYps3FJWvsq2PQ58QT9X0ibeCRFoJ4U1UvmZe4+UJ6eplTKLtxQT8zF3bRVUk3twvbZQGM/wydLgcrYJNmAIO0UqEZunLpGg9Xzqq8fcVdVgT+/dEXOufkL5kPpT374oVT6KaPkG8ASTSSgivbsRHqOWn+dLIgYjv1BppC2eLakj6uNgyWWduNAM5OjNSlUYk5BqRrDAiV28uk6Y0rzdgkKZD5eqMtPkzEdeuOZKH/gzZwb2icItZqSg4kiBeDxJpJYMvi+RzJhVOjkKeXKJJg/qIOZM6XkJOwSRRBtN8+Hfk35Y35blUed9oWWSjHP5z8IEnQ2wMso4fFlPCErp3ROqcaaLJb0hMZD8o1SwlXh8SaWWCGcKUkyMKkMj27xFTfPjINN9Nk0/7EUWNaYrPL5hz5FDzcoJrV4p1+Hz5aObu7VA/dYcpu/S7P4iKC4m0EsGb7IaYaORev4rU2dMRz5usfD39OVuxN5NYT1+GiKz0N1GW8CItxowMKG5cQ8rksYjv1l7si8+7RMTfi7JS4jUhkVYiTPIcqF2dxXr6xP752ah0/SqWofrDlJtbpmIwMWvyASepxoQE3k+qMCJbVzZ9pIUUzlzQR0Uic8cW8TdLGthH7KiqfHBP/M0I4nUgkVYSuBL0cXGQ254S22rEd2mL5DHDkXPpPExZJVP1/k3QGPMQJTfgfpIa5yMVsI9WIkimF4Ita3gTnw/Epc6dIeoQSEYOQfbxI0ywUZSVEq8FibSSYMzOhvLhfVHViJfIK+zv0wYFiFHqskamNeFqrAoLnsgw9E46pj/OwM14delOyP8jTEaxLQkfeEoeOxyJvbshbf4sIVex9QpBvAISaSVAlInz80XmgV2QTBgl9qdP4/MinR+IOaN55WCAKYk157f6yvHTJQk+O5WIlg4SMZ+0XIiUwac8KV2dkb5mOZIG9UXS4L6QblrL/q4++TeiMs7oifINibSCwyffG5OSkHPxPFLnTBUC4CXiRNM0NqbcjNLzoiXLPGT4wiYB/+9gLGqXQdGSl8JEqY+Nyi81OGuqGMVPHjcc2ezf/O9I1fSJl0EireCIHUEfPRRNel7Zic+J5NWNVI9YNlqOBku4SBc/leGTUwl450AsapxJwuHyJFKGKSdbrPyS7d6OpCH9EN+1LVJmToHi+tX8uq00dYz4A0ikFRg+6qwNCRZLPxMH9M6vZjR1POR2NiyLii5XSx0Ly+h9VoZl9F4Fnw7Ftx9RXHVAyvSJiGvVWKx6kq5bBa2PF8wa7S8j/QTxIiTScgm7WE0m5Gk0LNSAsaiR4zzR3Mx1vIakkYMR3fBbsYqJZ6NqDzeY1eWrKVoe6pG+Dnx5La9RkLF+JZNoM0TV/FxsW517xQHG1NQiC2HnGYyichRfLcVXllF/atWDRFoeyTOLMne6sBDowkNhVioLHiiANTH549oAP2RsXofY1k0QXb8Gkgb3Q9bxQyIbLW/E5Bgw90km3j0eh3d2R4sm/r6AnHInUi5BQ0Ic5GdtRSX96HrfIKbJd0hfvlh0ofDdVn8rSr4KSsveK31cTP57RV0AVQ4SaTmE78euj48TO37K7U6LfYXML6xK4qPI2rBQZJ08KgaXYhqxbLRjK7G1Mt86w8iXgpYzklRmrPOWo865ZLx7IgE/XpTAKrT8jNq/CBcj3yxPtm+36C6JrP4ZErq0g2zXNnbz8v9V0Zc8s0nUfOXzd5V3nFjWKhGtCaJqQSIth/C+TdH3uWOLmCSeZX1clH0z8YIjDC5VlfNDpMyaiujvaiL6h9qQTBgtNrPj22aURXWnV8GrfLplmHEgVI1NvgocDlHAN0NXZoVLXga/UYnCL3duiXmlkdU+QfT3tcWGgQouSxm7UbGf26xS5t/QDu0TI/3Zh/ZDHxkOUBm+KgeJtBwiROrnK5YqxndtD8n4EZAdOQC1lyf0CQmsyR+K7JPHkNC7K7vIP0Vch1bIYNLVBAeIPr7ygQlmvQKa7HTIUpORmJiMsNhk+MWkwj8pG5GZWmTrCi3KjjVqoFUpoMjJRa5CDaXGAEMZLnvifaHakCCxu0Bch5aiDzpxYB/I9u+Gyt1VtBj4HNMsq2NIHj4ACV3bIWPtSmjZDa+saxoQpQ+JtBySZ9BD89yTZTlTEN2gLuLa/ATJlLGQ7d0h5jlmHz+M1DnTEduyMWKafC+yodzrV2BMS2FPLusUj6dqahhVqciI9kTAw8u4bX8WF85dwPnzDnC4dgdOj33xJCQFcdkG6JhEgWyo0kMR5eOOZ65P4eYVCb84OTJUZdtENkmlUD66x25oCxDXubUYwZdMHI2M7ZtEl0vW4QOQTJ2A2Mb1xfuQvnge1B7uonA0UbUgkZZD8nRaaNzdkMIuWt4/F1Xna8S1by6q3PMmfPKYYYjv1kH0jSYN6I1sq+PQhQbnj/CXKWaWTbPmriwaaSEP4OZwFCe2rcPmdRuxefte7Np7EIePnMDJ0w44d/MpHgWnIVauhFoRgRRfe9y23oNDuw5jr60z7D3TEJ1dtoM2vGVgzJAi94o9kkcNRmzTH8QeT4mD+orN8yTjRgq5Rn75oehi4buzKh89EH3UNE2qakEiLYfwkV/eByoZPRSRX32IyK8/ZhdqLcT+1ACxLRojtllDRP9YDzEN6yF1xiQoH96DMb1gag6/gAujtMlTQ58diWTva3A+tR5bF87BhGmrMX+TFY7Z34CDkyMcr1+EwxlrnDllC6vrz3DdOw7RwXfhb78Ce+aNxaTxCzB1y1UceJSGkFIvCfrC344Fn4BvNhpYlvlEFH2ObdEIMT/WFdlnXJumiGuVP1si4tP3xEf+XvCC2mLyPu1IWqUgkZYz+MVrlMmgvO0kVilFfvEBk+lHiKr1JaJqf8Xi64L4CtEN64r6mYpbjmKaFN9S2JiWKjIivqqJD0qJ1TilIlUmDk0yssKd8OT0Kuya3Bf9e41Gh6knsPK8P57GpSEpKxWp8T4IcT6Pu6f3Yc/hS9h++hHuXdqH65sGYFrfjujUYyIGrXXAbjcZwkpxxw8hTdYSMOfkiE0DjakpYv8mfWI8FLcdkTp7mpAnzzzF+8BaCVF1vkFUzS8Q+fn7QqSSSWOQ43ARupho5Ol/P9+UqLyQSMsZojgzy2hyr1xC4sDe+SJlGSm/YKNqfM6CNfX5R/5vdvEm9OiItAWzkblrm9gJk1/Iyvt3xEAIfx2xxXBpzGs0a2CUeCDKcTOsF/6M4W1boHG3ueiz8zlOBaiRXpigmbKglngiwvUCTh84ifVLd+HoqrHYPKEZerRqg6bdZ2LkrtuwClEioRSLVomtR5g8Nb7eYhpTzsVzyLY6xv6uW5HCstGEXp0R0/g7RNWrlv/3r/Yponi3Cxcpu9EJkY4ZJqZB8RkXZd/NQpQmJNJyRp5KBX1MFORnTyOxX3fR/xb5zSf5GWmRwTLT+jVFMzNpQC8x8MSlmut0A7qoSJhUylIRaZ5OBrnvBbjsHI2V/Vug+Q8d8NPYfVj8MBNuckD5y7gRM6opEzkSXzw7dwInZozHmmE/YVDn+mj4U0+0GLIBC+08cDdNi9IsYMe3YeYLGXJZ05z//fhUJ16bNKZZg3x58iz0xb87v5EVfC5E+m11JA8bgOxjh6Dx8c7fG4uoMpBIyxOsCc6blrrgQGSdPIKE3l3ERcrnMf7qIi4Mng0xyYp+VJYd8b67pOEDkbF1I5SP7sOQniYGTEqjaW9UxSPu/n6cn9cNE1o1wvf1+6DDfDvsC1cjhH177a9+BD308likP7LC3ZX9MbdrNXxfry6++mkE2k09hh1OIQjMNbCjSg9ewJmvWlK5OEO2bxeSRw1BzE/fi9ZAROHNrLAl8Jv3QfRhM9nygT/Z3p1QP30Ck5zdPYgqA4m0PMGEx6vZi1U1+3eL/ej/UKT8gmYXNp9Hyv/Nm518j/b0lUuQY38BuogwlmWVVj+dCbqcQARc3oD9Y9piYMPG+O6H4ei75gpsk9WIZUf8emalmWVsEhhDziHg8GDM7fw1vvn6O3zZdg56r7iGU26JSNaU/tQnXtuAtwYUt24gY+Oa/FVjTVhznmej1dnfmXer/JFI636DxF5dkLF5vRi5N8lkBa9KVAVIpOUJPtAklULl5iKySl6EhF+khbL8JfjFXHhB160mmvW8Bqlsz3Yob98UA0+8oHPprfnWQpv1DM/PLcOWQS3Rq35TfNtwHAZudoR9ugbJ7IhfKz0Peeo0IO4KImzHYFG3WqhXqxl+GLAR4/Y9xdXAbGTpS2OA7DewrJRvO8Kb+KrHD8UW1nwAKa5tM0R/XwtRdZhQf/nb/0eoIlut87WYlJ++amn+Ml32PhJVBxJpecJsgiFFAuW925CuWZY/R5E33fmgxm8lygQa06g+u3g7iJqZfJK++qkbjMmJTFIqIYXSQwWtzBUetouwvn8LdK/XHPUaT8KQbbdwRapBKjvi1810JlIV+2rMJYRaj8K8zt/ih++7of20Y1hiHwHneC3KbC4+ew/ytBomwnRofLwgtzmJ1HkzRX91bLMfRV9o/qAfi0KR8hsdy1rj27cQA39ib/xU/lsTVQUSaXmCizQxQaxSSls0R2Sav4i0UKB82tO3NRDbvJHYt55nQLmX7aEN8hf71pfNOnsNy0jd4Wm3FJsHtELP+vkiHVwg0hR2xK9/KhOMOQnQeB+H+5ZeGNf8O3z30zD0X+OAnS6p8M00oywS0hfhfaa8n1MXES72buJN9uQRg8Uqs+j6NZhAC94PFoUi5SvNUqZNhPy8nZg6RVQdSKTlCD6JWx8TLS7ElOmTENu0Qf5FykVakAHxCeG80hMv8ZaxZb0oosHly0edy658mwH6HD/4O6zD3lHtMKBhc9RvNA4/b3LEhVQNEtkRv2ra52mgSQ9B8s31uDi5CXrVqYu6LSZh+K7bOO6fjTCWUOfPluI2zTdqmXiVT8rnq5vS08T+V3wQKmXqeNGEj2XvQzTvO+XvS0GLgfdTJ48ZiuxTJ8RafKLqQCItR/AK7TwDEoUwxgxDTMNvfxFpZHV2wbJMKJ5dxHyVDW9yany98kvmlXnZtjwYlTGIur0Hp2d2w9hWzfBjw+HotdIB1vEaRLEj/jNqz35WUybkCa7wOjYNmzp+iaYffo2aLaZg5N57sArOQTi7Jxj48byZzW4uZj6bgf2zTGRagClbBm2gP3IunEX6skVi/q6YnF/YzGeZKf833+6FV4PSR/PfmqgqkEjLEVwa2uBAZO7dKXYCjapXPX8yPhMp7w9N/Lkn0viovMNFUa5NTG0qJ+TpMpDx3A73tg7Hkj4t0bxBL7SdboXNvkr4Mnf+p2nPPlOFIdX3NC4s6YuRtT7E90yk33eegqE7buHA8wwEyo1Qa9XITU1BSrwEWbkqkdGW+e3CoBeZJh/QE6P6gwpG9Qv6SSNrfCGqdfF5qProyIJnEVUBEmk5gtfB5AMc0nUrxXJEkYVyibLMNHnkYMgO7oXSxRmGpMT8pnx5wqSCPtEZYQ4rcGhGL/Rp1g5NB27AxItxcEwG5IWrlHTpUEU5IcB+KdYOaYfW1eqiTdPm6D1hFoZtOI/1l/1xPygWUTEhePrABbcdPRAaL4WCpaNlvzs/v2HoxDJcvh1J9okjYqfRmKYNRB8pv+nFtm0G6eZ1ok4pUXUgkZYj+B5MarfHYuSXyzOCX5jNGyJlyjixXJEvXxTzE/m+QOUOlh0ro5HpfwH3D83FquHd0a37GHSebY3VZ73w0C8CweFBCPF0hLPtehxbPBTDew5Ah15TMHvZfGzcuQyzFq/FzEWbsXbLLuw5fARr95zH7tMeeB6dCSUTaVlnpL9gNovCMrziVradjSiwLWqW1vlaFDZJXTwPKlfn/NVNpbAYgih7SKTlBXZxGhITkXv5oiiVx5vyfGVNyoxJ+YUwIsJgzMrKH5Uvl9cm+6GMCmikQYhxtcXNvXOxdNwI9Bs0G+OXHMRuWwfYXbTF2eNbsHv5DMyfMB4jpm7CnH3XcOmREx7dOoRDq2dh7tCfMfzngRg8YT5GbriE7Y7xCEjRiGy03PzaYhDKJETJm/q5N66KWRbxXdqKlkTyuJHIPnlUFODmrQyi8kMiLSfwzexUbq7I2LlVLDWMZxmOZPJYyM+fEduH8KZ8XhlWjH89eAWlLCiS/BDtdgHXjmzFlpXrsW7zAey3soWVzUlYHdmDvdu3YfPm/dhudQ/2z+IRkZ4AScR9uNhtx5Fl07Fo2nRMW7Idy2zccDEgB/G55vJ572DwaVL6xARxs0udNwMJvbqIvuz0JfPExHxTTk7BkURlhkRaDuBFRXiBkWzrE5BMn4iEnp3ENBq5rTX0CXEwa8pZf+jLyDPCpM2BOiMOklBP+LnegzMTyi2nm7jp6AjHm7dw864L7rkHwCsiDYnZOqiMOuhzE5EW4gqfu5dxw/4yzl93wR3/JERkG6EoP2NqRcIHoXSxMcg+c4rd/MYhsU8XJA/tL/q09ezrZTctjSgtSKTlAFNOLlSP7ot18rz6Ot9WmW+zzLdbZpdp/kEVjTwmD5MaBlUGsiQxiAsPQVhoGEIj4xGTkoW0XD3UL3Z6mvXs8CwoM1OQkpyCBEkWMhQ6MVpfEf4CZj5Q6OuNzF3bIWE3wYSeHZE6fxaUD+6J+gk8cyUqLyTSskbPspmICGQfPwLJ+JFitRIfbFJcvwJTZmbBQRUZpkETyzg1KqhVaqi17PdlTvnjHC2PJXB55XM87RUYM2VQ3rsL6ZrlSOjTVdwUM3fvyN8Qr9xsSkiUBCTSMoaXzVPcuCbqiPL13Mmjhwmp6iMjyuW2ysQfwwegDHGxkJ85DcnEMYjv3BbJo4Yi54KdqLpPVF5IpGVJXp5YAZOxdQMSe3UWhYT5qhnVowdiKlRlw8iSUx3LNLWmPJaV5sFYHje1txBzbg7Uri7I2Mze0z7dENemGaSrl0EbFCCmTJXKbgVEqUMiLSN4tmlMT4fC8RokE0ax7KWN2DxNftoqf1VMJZt/KGcGdU3R4mhwLnb6yWEVmgv/TB0qnUuNRuhZVsqnRKXOnCIqRvE+bz77grcy+D5aROWDRFpGmLKzRN1R6doVSOzdRRQRlu3bCc2zp/m1RCuZSBMVRmz1kaOpgwRfnU5E+6spsItQotzP6HpT2PvG97XXhgZDdmgvEnhW2qEl0pYuEBsa8vJ8NIpf+SCRljp5MOt1okmfdewgkob0EwUwUufPFOXz+KR8ntVUNuJyDVjqIcPnNgl452Asatkl4QjLTitj875wP3w+j5QPHMZ3aSd2hOXFTHSsic93eK1sN8qqDom0lBEXGctKeAX21NlTEcs3rRvSH7LD+8T0Gd6PVhlJYBnpBq9s1D+XjH8dj0eji8k4yZr3lVGkHD73VxcaArmNFSQjB4uqXWI2huM1MSBFK54qFyTSUsbMshGtnw+yjh4Sq2B4gWbR7Hv0QFTH5xWgKiNStQlnIxSY+CgDvRzTMP6hFDfiVEykBQdUMkRhaLH/lhcy1q5AfLf27Ib5MzJ3boXazUWsZCMqDyTSUoTXGzUkxCPXwR5pc2aKbDShb7f8ASZenLkirWB6Q5SGPPhKdTgfqcTBwBwx2MT/XUkT0nzMZiZTGeQX7JA0aggSenRCytQJyLE9LQak8ir1L1+1IJGWImZFLjTPPZG5ZQMS+3ZHXMdWSFu+EGqPJ/kSrcT9ZnyCvVxnQpLSiCi5AdEsZFpTRV239drwzFTj74uMbRuRNLCPeN+la1ZC9fgRTHJah19ZIJGWErxPjA8w8QrrvCwe3yGU71CZc9UB+qREWkJYScnjo/gsK+UbGvI+Ut6dw1ew8R1KdSHB9L5XEkikpQQvgae8cwvS1cuR2K+HaNLz6U66mOj8uYU0ilt5YU18vl9+1pEDSB4+EIn9eyJ19jQoHK/nj+ATFR4SaSnAs1E+rzDrwF6xFxPfRiSFX0j378CsownaVQFeTk/54C7SVywWW5QkDugtBp5EVqr99a7/RMWj6oiUZXx8eZ6Zj6a+LPgxZnZscSWI7IX41hS5N64hffE80U8mmTgasiMHoY0ILzio8sMH5w2mPKgMZuTq80NbOScoFAm/mYpSibyi/swpYqI+37o59+J5GBMSmGlLqonPTuQ3Off5sdQ4emOqhkjNRhi1uVBnpSJDEoeEmAhEhIchjEWo+BiOsIgYRMYmIV6SifQsJZQ69hz2VEvPKZ5taLyeI3P7ZpGNJg/pD+n6VVA5P6xSRX81TKJ8kMlFosHtBDUeJ2sQrzBWqYuWN+PVz9zFucAn6PMmvnTVMmjcXJDHaysU9x+Dv16eAXl69n2zU5GeGIf46EhEsht4eBg75/l5HxaB8PAoRMYkIiFVBmmOBgqdGex+V+kHAouTqiFSoxYaWTzSwp7C7/F13Lp0GqdPHMbhg/uxb99+7D90HIetL8LG4QFuPA7A87AUJOew57CnWjrN0SSVIuecHVImjhHNudSpEyBnWQkv2MzSgIKjKj8ZGhMuRCkx0yUTw+5KMddNhntJ6sq3RPRlmE0w8Gr6ly4gbf4sUbOUzy2VW58o2NCwmPvK89j5ZVLAnMvO/YineH7/Gm5esIHtiSM4evAg9h84hL0HTuDw8fOwvXQXt54EwjsmA4k5BigNlp/7VYkqIdI8gwZqaSSSA+7h6c2TsNu/GmtmjcEEJrZ+3Xuj75BJGLNwO5btd8DJ655w9k9EfDZ7DnvuW59MvJmkVovVSnw9PR+t5QMNfOqT2t0NZlXlXMH0R8QrDFjtmYVadon4+9E4/HAhGSdCFZV2ZdMfIabAeXvmDzwN7Z+/Dl9slvcYhvQ0sfKt2OAiNebAJGfnftBDPL58Aqe3L8P6maMwaVh/9O8/EN2HTMfwWduxeu9FnL3jCbewVMRk6ZGjJ5G+CVWkaW+AQZWF3PQoJIXdh/v1PTg4uw+GN/gS9T/+GrWbDULvxSex9pIvbvmnIDY9Fzla9hz21Le9zPm2vXy6k9zmJJKGDRC1KfkGaYobV2GQJLMDqpZAYlmWM989E++djMc7e2LwhU0iDgTmVDmR8lZI/hLhR0hbOCd/UUavzsg8sBuaAL9i3mab/W3NOuRp2bkvjUe8/yO42azDkRmdMaptbdSv9z0+aTkBbeecw/ZL3ngenoykTCWyWeuBF9+uYu+MRVSdwSYBu8cak5EZfh13Ng7BrO/fQ52/fYivmo7D0N0PcCJAiQhVMdyJmST58kCl0w2kzpiM+I6t8otWHDsEbViIkGxVo7BoyWcFRUtqVuKiJa+El9qLj0PWyWNIHNwXsc1/FAOQOdccWFaaWnJzS9VpkD05jvvremJ2x69Rq3odvNtmETpv9ceFADVyDaTOt6WKiZSRJ0N2zAO47BqFpT99gO/++RVqtJ6BccdccTZKgziLa0nksSa9CvqIcMh2bhF1Rnk2yqe9KO7eElWBqiJVqfrT6/BLGcVNa0VBE14BLJOdLxqvZ2ICf4mU2tNlQuVtC/cdA7C4Z23Uq10fH3RZg36HYnAt3AxV1emyL3aqnEjzjNmQRTvjyb5xWNX6E/z4QU3UbT8PU6zcYB+rRDwTqSXnE99R0hAfD8XN62IFS0yT75E8eihyztuxbDS0Uq+nfxkk0l/Dm/D65CTk3rwhVrjFt2+BlKnjkXPmFHS81VIS28xopFD52OHZnmFY1vc7/FC/AT7rtRFDTyTCMQJQ6KlX9G2puiLdz0Ta5j8inWrthktxFoqUNen5CiY+cCDdukFU/Inv2BLSjWug8fGCSSZjzbaqebKSSH8Nb77zm6o2NASZO7aINfh840PpqiViOalRlinOp2LlRZH2yxfp572ZSE8mwTESUJJI35oqKtLHBSL9lIm0FhPpfEw9xUQab5lI83gNysgIZNtaI3nSaMTx9fQTRiLn4nkYUlLEpOyqCom0aHgznrdeUudMFyvekseOQNbxQ/l7PGmKeefR34n0RybSTRhqlVwg0qr9XlgCibSYRJpnNsGYmgLlo/uQrl+Zvx0vXwa4dyfLRr0r5WZ2bwKJtGh4E14XFYGsE0fEgg0+ST996XzkXnXIn91RnGPnJNISg0RaTCI1a1TQ+noj6+hBSCaOQkL3DqLaD5/mkj8/sOpmoxwSadHk5ZlhYjdZPrc4fdVSJLHmvWT0EGRs3ShKLubpi3GGB4m0xCCRFpNIjRnpIotInTsjfzO7gb2RzbIMvs5eSLSKzRv9LSTSl2NITkK2zUmkTBgl+kslk8Yix/4CjJkZ7NFi+huRSEsMEmkxiDRPp4XGzxuZOzYjsaB4b/qyhSzLcEVl3TrkTSGRvhzev65+9lSsfOPbNyf07grp2pVQe3rkr8MvDkikJQaJtBhEyidXy8+eRsqMSaLOKP+YY38exhQJ+4Z0cnK4SJcwkX56ion0QCxqnEnCYRLprzCmp0Nx4xrS5s0US4qThg0Ue3vpY6ILjrAQEmmJQSK1UKR8lZLKxRnpyxeJTIKvYOLTWbT+vlV6lP63xDKRLnTPxIdW8XhnXwy+sU3EwSAS6Yvk6Q3QBgZAdmAPJLxubbf2ogA0H8Dku8tavA6fRFpikEgtECk/sXnVnqzjR5A0YpBo1vP104qrl2BKSy04iuAkKAxY75WF+ueT8N6JeDSyl8CqChYteRl8WxJDaorYD1+6bqVo3vNRfNmhvWIxh8X74ZNISwwS6duK1GwWxSeUD+8hbdFccdJLJo5BFi/Y7OeDvOKeA1jBSVebYBehwISHUvS6mYYJjzLgGKeqWmX0XgM+TY7vpiA/dxrJ40civktbpMycLPb24jvQWpSVkkhLDBLp24iUnW95moIBpt3bkci3jujXA9I1K6B6eF/UIK3c+wy/OXzVjI9Uh3ORShxiTXqbMAX8Myr5dsxvAa9kb8zOgvrZE1EAnFeGiu/ZUXyu9nwKM8tK+ZSpt4JEWmKQSN9CpHwSNR8Y4AV6JeMKsoYp4yG3sYI+KrJk1klXcHgTPktrRmyOESEyPcKy9KLYM43F/R4+XY4X/uYDlnw7kti2zZA0crDYH58PPJnetrVDIi0xSKRvKFK+gokv69P6+SJj0zrEd2iJhJ6dxPYRfI29qNxDFAnPPo0smdKz9jwPatb/EexvkyOHNsAPsgP7WEbKstJOrUVWyruSeD8qPw/fGBJpiVEFRSpnInWB+4FxWN32LUTKNzGLDIfc1gZJQwcgpnF9UUtSccsRhqQEUf2JICyFZ6VmuRzKRw8gmTZBFIDmA5qyg3vFOvw8w1useCoQqefe4b8RqYREaiFVTqQw5yA7tkCkv2SkCzDNxh2XEzVIZBb9w9OJtUPF/vQP7iF14VzEtmkqmvWZO7dBFxGOvGKtbk4QLHuPjUbmob1I+Lkn4rq2E8VNFE43xEq6N+4X0WVC43eWiXQYlheKtM9mDLVOgVM0oKa1I29N1RNpngxZMQ/hsns0ljX7GD/8qzrqtJuLKVZPYB+fL9IiYSetSamANjgQWccOizmjvPJ96vyZLBu9CVNGxpuf2ATxCky5cqieuiJ9zTJRCCdpSD/Idm+HxvNp/nSoN0Erg9L7DNx3DsKS3nXxXb0f8EmvDRjE65FGsYT1LXoLiHwqhUh5X5vSYBaDGXK+Xzr7wq9Gg3m/pk4FnSId2am+CH5sBduFPTC61rv4+n8/xGcNhqHfuvPY5RwN98RspOdooDGw5xQ8XWAyiRVMuVccxGZlCV3bI5kPAPAdQaOi8qs7kUiJYoY38Xn2mXP5IlImjxUr5/j2NfLTViJbffk5xx4zszTTwM59VTZk8f4IvbINZ+e2x5gWn+KrL6rhHy2mod3qhzj8IAFRkixkK7XIYddRJgupxiyKPVfRErpvRKUQqcaYh5AsPR4kafBYokEo+1yuM/+niW7UQZeVjMxYT4S4n8cNqxVYM7INun3zPr78+0f4/NuuaDdxE2YfcYLNw2B4RqYjVaGDlj218DX4tBO1+xNkbt3EBDpEzBtNX70cGi9PmBUKdsJTu4goGbhMNb5eyNiyXvST8tVz0jXLoXJ5BDNrJf0hfJqUUYk8RRIyEwLg98geV3fNxvqhTdH7x8/w1ZfV8H8NfkbjsXux+NAtXHcNwtMoKZ6w68gpXoebcRoxw0LLri/i5VQKkeYwad6KV2OjVzbWP88ScxS5WPkIscCghSYjBqkhzvC+aw37wyuxZuoQDOvUFh1bsOg1HINnbsDCPfY4dv05HgUkI0Gevx2zOIX4CqbYWMj5/vRTJ4o5o5IJo9i/bUV1J8pEiZLGkJqK3Mv2ojQjr3MrGT8K2VbHxE61fGlpkfDtmA05MMujkRrxBO6ONrDbsRjrJv+MsX06oHPnrmjZexz6TtuCFXsu4ITjM5x0T8C259lY+ESOlc+ycS9BDS1tivdKKoVIM1kT5ERwLnrfTENLBwmG3U2HQ7QS6sI7qckAvUIKeXIY4oOewMvFEU6X7HDm5AmcPHYcVjbsc4fbuPbAC66+MQhNzEKGSo/C8XexUdmjB5CuX42kgX2QPGwAMnZsgcbPB2Ytz1sJomTh55k2KDB/P3xRALoHUplUc285ih1ri4RnpCY18tTpkKdEIMrfHR73r+OWvS0u2JyEtbU1jtmcx2n723B64IlLTyOx7EESul1LwY8XUtCHXU/8OjLQPLVXUilEKtWYsMNXjm/PJeHPR+JQzTYR29i/c3/ZgyaPnVNG5lMdDDoNtGolVKw5rmDN9Vwe/HOFCkoVy0K1euh4/6iZPUc81QxdWCiyDu9nWeholo12R+q8GWI9NF+BQtkoUVqY5NlQPriL9OULxf5OPPgNXRceyk5TMzsVizoX2TXAz30jSwy0GmhUvzn3c/PPfZVaA68UJaY8Ssen1gn438Nx+OlSMi4ykdIZ/moqjUi3+siFQHllofdOxmMNa+LzgSdLMeu0UNy/g9TZU0W/qJjLt393/nQnkihRivBJ+PrIcGSfOi52HOWzRngXE581wqflWTqHOURuwgTnTPzjWJy4jhpcTII9EynxaiqNSLezDJQXC+ZFgz+1ScRWfwUs3aQhz2iCLjoKmXt3iI3JuEjTCvanN2VnFxxFEKUH72bi25LwUo1iHX6XtpBuWAvN82cwK95wOtRvCGfOnOauwPunU/HO0WQ0upwO+xgqvvM6VCqR1i4U6akEbGIZqsLCgXSDRIIc+3OiqlNC946QTBknBpj0MVE0Sk+UDQWlG3OvXhbr8OPat0DS4P7IPnkU+rhYi3ZkCMwyYMpjGd63Yi27Q3FofElCGelrUqlEWudsshDpvw6HY8y553Bwuod7rNlz+9Zt3L59B3fv3sPDhw/xxN0d/v7+iIuLR05ODsymX89EzlMqRXGInMuXRIk8PriUOnMKso4dEgWbXzrlhCBKmDy1Wgw8ZVuzJj67uYuBp3kzxfmqDQ/9XWbKu6BycnMQHx+PgIBAuLs/xaOHj3D3zl12XdzGHRZ379zG4YuO6LH9Iv5vgR3+e4E9ftr3CBf9k/gr5L8Q8YdUKpHWO58iRPq/O3zRcJkVhk+Yikkjh2HM6DEYM2Ysxo4dh0mTJ2Pu3HlYv34DrK1PwcXFVQhVzoRqMBhgVqmhDw+D/MwppMyaiiQm0bT5s5Bz7oyQKC9Kkvcb8RJEqcLOPzNr4mtDgpBz/kz+zX70UHaezob81EnoAgNgZOezXm+Agt30ExMT4ermBhub09i0aTPmzZsvrgN+TYxm18a4sWMxYdw49B06CnW7DcXf2gzFX7pORvO5O3DBxYd51PKxhspOpRTpf231Qq3Z+9G570D07dIRPXr0QJeuXdGhYyd06NARnTp3Rq9evTGGiXXN2nU4Y3dWnGgx4eGQhYYi9+YNpLOTkm+pnDRqiNhiWRsckJ+JmumkIsoB7Dw0azTQiZu+DSSTxyKJ74k/bxayL5xDpo+POJ+fPH0Ku3PnsHb9OoyfMAF9+/Zj538XtO/QgV0PHdG1azd2LfRCn9690aZTN1Rr0h5/rd8Gf2vSEy3GLsTFe248pS34psQfUalEWvecRIj0L7sD0GazPeatWIsNyxdj+fLlmL9gAaZOm4oRI0aiN5No69Zt0KRpM7Rp2w5D2dfWrlmLy9ZWCLI7g9SdWyEZ2Ed05KfzFSRUHo8op5g1vJkfgMytG5DUrzsSB/dDzIql8D56GA7W1ljNWl6Dhg1j53lbNG/RQpzvPdn5P3z4CEyZOg0LFy7C6lUrsW71akyasxCNB03GP9oNx186jEbzqWtg//AZifQ1qJR9pO8dicQkB3/ccXkKf88ncHd3F32jN25cZ80bG2zfvh1z5sxB/wED0LxlSzRu1hy9u3XHypEj4DR1EqImjIakZ2dIxo1AzhV7GFIkyKOJ90Q5hCvOpFBAdfMaJDMnI5BlpXcG9MHB4UMxY8QIdGLn9Q8NG6FZ8+YYOGgQZrPzftu27Th1ygbXrzvC2fkxnj/zgM/zZzh98yH67bTHv2Ycxf9MPIim68/hkmdE/jciXkqlEmnhqP3HVvFY/TQdKdkK6DQqqFQqMflYJpMhJSUFUVFR8GFNn8tXrmDVqtXo0acvWjVsiBF1a+Pkj/Xh364FUvp2F9NKeKe+2A2U9sQgyjGm0GCk7t2Je8MHY13jH9G3ejV8X60avv2hAbr16IkVK1bC4fJlPPP0RFR0tLgOZLIsKJiENXzwimW2zxJkGH8zGv/e64v/t+U5mpwKgn1YZsF3IF5GpRTpZzYJ2OybA9UrujPT0tJwyd4Bo8ZNwE/166Pne/+H3R+9B68GdZHCd2/cvweG+PiCowmiHJOQgFQbKziMGYnxtWqi7l//ir//+c+oVrsORo8ZiwsXLyIpORmml/TxB8tNmOomx/s2ErxzNAmN+TzSWJpH+jpUGpFu85Gj5hkm0gMsI7VOwEbvl88j5VNCJBIJLl++ginTpqNj48YY/OlHOPT5R/Bp/B1SBveD7NAB6EmkREUgKRGpZ07j8vgxmFy3Dhq8+w98/M9/4vsGP4q+0EssG41nstW9ZD+xQJkBkx7L8N7JRJaQxKOhfQouRqsKHiVeRqUQaToT6WbvbHx1mp0Ae1+9RJRL1Gg0IjMrC89ZE//4oUNYOWwINv74PRzqVEdg2+aQzJ6GrGtXoE9PL3gWQZRjsrORcf8eri9egNmNG6LrRx+i/ddfYdLgwThx/AS8fP2QLpVCp9P94axQvwwdxj2U4m9H4/DOnhhRu8I2XAEzDTa9kkoh0kytCQcDc9DCQSKy0R8uJGNPQA5yDX/cjOEy1ZtMyFYoEOryGA+XLcbdLu3xrHkjRLJsNO3QfuSGBMOooe1DiAoAO5dzo6Pw6MhhbO7TE3Pq1sbyBt/h/OKFCHv+HDlKJbR6Hcwvadrz0pOL3GWodzYJH1sloOO1FFyKUoodYImXUylEyqt4301UY7VnFqY9zsDSpzLcTlBD8xrlv8ysqSP3cEfsyqUI7dMdkX27IWnJfGTfvQMty1jpbkxUFLRyOULu3cXVJQtxunsXXGrdHL4sQ83x8kSeWvXK5aPJKiPORSqFTKc5Z2KTVxY80rQk0tegUojUwN7oFKUR/pk6PE/XIoB9TGMnxR96lMuR3cH5UjtTchKUVy4hbe4MJA35GSm8SX/qJDSREewQdkzBUwiivGM2GpEdFYXYC+cQtGg+gn/ujcRpE6G4cBZGvnRUnp0/A+UPkgON0YwEBbuOWBP/eboOwew6ytCYaMLKa1ApRPqm8JOJ13bUBvMldnaQrlqK1FlTIV22UOyFo/XxEvuKE0SFggkyLzcX+rAQKC5fQub61UidMp4lCdORffQgNJ4eMKalsczjDyrqE29NpRApv2Hy7FPPbp069gn/+LJWPd9jScdONvlpaySPHY6kn3uJPXAU1xygZ5koL1pCS0GJCgk/b7VamFlLS+v6mCUJy8QKPb6zQ9bBvUymz2DOySk4+NeIhhr733+uo/zripplr6ZSiFRtyBNNEavQXOzwy8HhoFx4pOnEyfA72Ili5PvfXONlyCYgplkDJP7cE9k2J8X+NzBQeTyiEsClmCGF3NYaiX27I7ZpA0gmjRHFdwwJ8ezB3ycKfBrhvUS1GLjl15FNuBIBrJmvo83vXkmlEGkmOwEOsTef79f0CR+1P5+Mvf45L2w1UgC7W/PldFpfH0g3rmF36jaI69QKaSuXQPXEhTXni75TE0RFxKxWieZ8xuZ1SOjdRRQmz2DnvdrNFSaZjMn219dH4aj9t3zUnl1HHa6l4lyEgiUqv5cu8WsqhUjT1SZs8c7GN3we6b4YvH8yHuueZ/9uHqlZrYYuMhw59ufFOvq4Nk2RMnkc5JcuQBcbk98RTxCVBF583JieBtX9u0idOwPx3TqIIuVZJ45CG+AvCp68CB+snfBQincLthrh80j5jry0+d2rqRQiFSubfH+9smkDE2vOb0Rqys2B2uMJMvdsR3z3johr3RQZ61dD4+3F7tCZ1C9KVCryzHksOTCKyvl8a5L4bu2R0Kcb0lcuhfLhPZh+U6Ccz3aZ7JyB907Ei+vox4vJuBBFFfJfh0oj0hfX2n9yii8RLUKkUqnYhVG6YTXiOrdBfKfWkO3bBX1EeH5V8T+YFkIQFZKC89mYmSF2d+AS5VvmpM2bgdzrV2DkycMLFIr036xFx6+jRvbJtNXIa1IpRcr3bMoXaYEY2QnFRakLCUHOhbNIW75IbGUrGTMM8rO2MCQmiGY/iZSoVBSczya+7fJle6RMGY+kwf2QMnOy2ImUV9jn/aiFBGTqhUh51xi/jhqTSF+byi3Sgi7PPK0G2sAAyO1skb56GVKmT0La4nmQ25yExtdb7MyYx4s5kEiJykTB+ZzHK+kHBUJ++hTSly0SmzimL5mHbKtjLLkIYgfkb51DIn17Kq1IN3nLfxGpUZKMnPNnkTp7OhKH9INk0mixJ5MhORF5Om3+HkwkUaKyws7tPJ0O+vg45Jw9IxafJA7sk1+43O40kJUhjuErmvJFmkAifUMqr0h9cpCjMwNaFTRPn0C6ZoXY0yaJiVS6fhXUXp4FzyaIqgFPGLR+vpDt342kkYORwLfSWTgH+icuQHYm/NPUmPI4M387ZhLpG1F5RerLRKoxAspsKG9eR+qMyUjo0Qkpk8ciy/oEdLHRBc8miKoBF6me74l/7QpS580Qg62SEYOgPm8LJMbCP1VJIn1LKrFIcyHnIs2VQXHVASlTxzORdhSrmbJtT4lmDkFUJfLMZrH/mMLJEWksE43v3BrJQ3+GytYKiIuCfwqJ9G2ppCJNxCZ/FbLVeiAhCtnHDiF5zDCxVC59yXzkOl4TE5UJoiohCppnZkD1+BGk61YhsU83JPbrjpxdW5AX4A2/JDmmOJNI34bKK1JfBbIyspH38BbS589C0oDekIwZjqxD+6AN8BN7ghNEVYOvZuIFe7JPnRDdXPFd2yJj8hgYr9vDOyQRk+6mMJEWDjZJSKSvSeUS6dl8kX5yMh4bnqRDGhwOw+FdSBrYS1S/SV++GIpbjjBK08UoJUFUOXi9iUwpy0ofInPreiT07AQJk6l6+0Z43PfA+MsR+PfxWLxzKA6NL5FIX5dKJtL8fe0/PhKFtdeCkHz1BlRzJyGhSxvRRypqjYYEiakgBFFVydPzqVCxUFy/Asn4UUhq3gDZE0bA5aA1xhxxw78PhuOdw/Fo7EAifV0qjUj5LqI1zkmYSOPw770hWLrvJqLXrEXOz12Q2LcrMtgdV/3MPX9ZHJX8JqoyrDVmVqmgCwlG5rZNSOnWDtIe7XF/2jyMWXkOH273wX+xhKTRJdpF9HWpNCLdykRa7Vwq3jkQj3e3+WDunH0I6t0LWW0bIWXSaORcvghDSrKoiEMQVR4mU1NmBhSO15AxazLSOrbA/c49MWX8Fnyz6j7+si8MjexTcIFE+lpUCpFmaM3YF6hAiytp+PpoBJptuo8tQ+YgsNEPyOzZDrK9O6Hx9YLpN2XDCKIqw5eO6qMikGtzAmlD+sKjaTPs6j8ZA+adRIO9nuh8jYk0TvvS3SaIfCqFSOUGwCFWi/kPJJhu9RRbVh/Hrb5DENWyCbLmz4DGxRkmPt2JyuQRxH/g14NWA52fNzJXLUFUl3Zw7dUPx6Ysx/y9Tph7PwlOKUYU1v4h/phKIVI9i4BMA656xMDh2CU8nL0IIb16IGVIf6isjiFPkgxQk54giiZLBtXFs5BOGoO4/r3wbNRYXN5+AhecQxEoM9CWTa+BRSI1sTuaVqeDSqWCUqkUoVaroWFNhlILrRYKlQaSpDSE3XdF0KZtCBkyCFG9uyFhwRxk3nKEMi0VavYz8mOLfA0KiqoaWnb9ymSQsVabZP1qxA8bgIgB/RC4bCWCrt5CcrwEKnFc2Vw7WvZ99Xo9y4OMYkFBecUikWbL5QgKDoabmxucnZ3FR8/nz+Hr5yfCx9e3xMM7IAB+3t4IvXsXMQf3I2bKeIR1agOfPt3xZOVyPL18CT6ez+DDf55S+pkoKCpM+AfA28sLHk434bF5I3yHDURotw6IGTMcMds2I/SWE3zFcf5FP7+EI4Bd3+Hh4UhJSRFJWnmVqUUijYyMxPETJ7Bs+XIsXLgQK1aswJatW7F3334Re/buLdHYzWLngQM4uGsXLi9fgqejh8GvU2s8++kHXOnZBQfmzsbOrVuwZ88e7Nm3jz2HR9GvRUFRJYNdp7vZtbFjxw4cmj8PDv16wa1VEwS0awavwf1weeki7GPXz+79JX89vxj82uYfDx46hNOnT8PFxQWpqakwv+U4h8Fg+CW7NZlMxS5ki0T68OFDDB4yBD82bIgGDRqiabPm6NipM3r27IUepRDdWXTu1RsDunfHiratYdPoezjUq4FTdatjadOGGNCtC7r27lPkcykoKPKjO7uG+HUyqEsnLG7aCMe+rQHH2l/h8ne1sKpVc/Tt3gPd2DFFPbekonsP9j3Zdd2zVy8MGjxYJGj+LCvmQnxTeLdAUlKSyG6jo6MhZy3pt3mdl2GRSO3O2qF6jRr405/+hPf+/T4++fQzfFOtOmrXqo1apRA1WXxdszYa1K6D4fXqYxWL1bXrYmqNWuhUsya+rVMX1VkU9VwKCor84NdRDXadfMuuo/bsuplYozq2Va+GPTWrYVzNGvieP/7C8SUZtdnPwD9Wr14DX3z5FT786CO899576NW7N+7cuQOdTltgn9eHZ6KPHj3CPpZ5nz17VghZJpOJzLS4sEikZ+zOokbNWvjHP94Vb0brNm0xcOAgjB0zVsTo0aNLPMaMHsU+jsXwEdPRd/A8tO8/D836zUSnwRMxYtRYjBvDjyn6uRQUFKMxlgW/TvqNGItmAyahcZ9p6N5nJsYOmI5JwyZizKgxRT6vJGLsWOaNUaOZRwaibdt2+Pqbb/DOO/8PTX76CVeuXGFSfPNiQ1ykdnZ24jUHDx6CLVu24PHjxyIzLS4sEun16zfQoWMn1KlbT6TiixYvhq2tLe6yOwePW05OJRq3WTy6cxMXrt/CjFMP8e1OV/xr4xN8sc0FE6wfwOHGLTxmj/Pjino+BQWFE+7dcsLD2zdxyOE2eh95hE+2uOC9Da5osusxltvex1V2Hd0p4nklEdwbTjdv4syZM1i9ejVr5vfEv9//AC1btca1a9eEFN8U3oy3srJCw4aN8NHHn6B9hw7Yy7LThISEgiMsxyKROt26xVLuPviR/YC8H2Pbtm14+OABQkNCRAQFBpZoBLOIDQmAi08Q5t6KwJfWvGpNPN4/GYdZThF46huE+NAAcVxRz6egoAhEeFAgooMD4OARggFXovDP43HiOqptE4tN98Pg58+OYY8X9dziDu6NwIAAMf5y4MABDBk6VHQZ8tbu9evX31KkRhw/fgK1atfBO//vv1G3Xj2sXbdO9JcWF8Ui0oaNGpcvkZ74j0jjSKQUFC+NMCbSqBdFeixfpHVOx2LbwzBx/USWgUj3799fAiL9r/+INCam4AjLsVikPXv1FhnpwEGDsHXrVjy4fx8hwcEi+B+kJCOIRUywPx57B2KuUzi+sooR1Z8+OB6LmTfD4e7DResvjivq+RQUFAEIDQxAZJA/Lj0NxoDLkfi/oywhYddRPZsY7HgQipCCx4t6bnEH90aAvz8esISMDw7xWUHFJdLaderi//3Xf6Pet99i3fr15Vuk9+/dQ3BQkAj+BynJCGQRHeQHZ68AzL0ZxkQaLeqRfnA8BjMdw/DEm4vWTxxX1PMpKCj8ERLgj4hAP9i7B2GAQwQTKU9IYplIo5lIQxBc8HhRzy3u4N7w9/PDfZaQlYRI/+u//wff1q9PIn0xSKQUFJYHidRySKQUFFU8SKSWQyKloKjiQSK1HBIpBUUVDxKp5ZBIKSiqeJBILYdESkFRxYNEajmVSqRfFoj0fSbSGSTSchIBRXwt/+u/zB8s8nGK0ooXRfozE+k/SaRvDImUogSDSbRIWb4gURH57+Wvn0tRWvFbkb5bINK6TKTbSaSvReVr2h9gIj1GTfvyE/kSLYzCr+VLln3O45evU5RF/Kppf+k/GSkX6TYm0iAS6Sup8CKNYiJ9zES67HYoGtlG4YsT0exjJNbcCYWHT4B4nERaWsGzy8D8LNPfB/7Pn+L5Exe4uz2F+zNfeHn7ws/HC97PnuCpyyM4P3iAB49c8Nj9OZ55+8PXj70Gu2jp/Srd4CINY6J09AjEzBthaMCun8/YddTcLhK7mEj5Mfzx3z6vJIJEWkYijQj0F5nnrofBGHstDCOvhGPprVBccAuCD7sww9jjRT2XogSCSZQXnggO8EGQ9xM8u3sJt84ex1k7B5y/+RT3XD3g4fYALo7ncMXqIA7v2oVd+0/i6IU7uPbYG0+8/ODPZMwzIJJp6UUQC958d2fX0RnXQJaUhGD45TCMvhKGI4+C4eOb/3hRzy3uIJGWkUj53dTTN4A1SwJxyDkIJ12CcMMjAM98Co4ppROgSgfLQAP8mQS9nsHL7T5cnC7ghu1+HN0wD6tnTcDspZuwfP9FHLSyw5lje3B00yKsmTUW44cMxKDB4zFqzhasPHQZtk6ueOjpC++C1yWZlm7wv7eXrx9uPQvAicdB2MeSE4cngfBh11JpvRck0jIQKQ/+BvMmoRu7mz7wDBD9pVyifryZ+JtjKUomAlkWGuDnDZ8n9+ByzQoX9y3D1lmDMKpLE7Ru0ggt+o7Fz3M2YsaCFVg2ayrmjR+G0YN7oXeH5mjTuBEa/tQLnUeuxPz99rC664GH7L30Y3IurSyIIj8KZenpE4BH7Dq6x64nNy9/JjYS6auo8CItDP5miyjiMYoSDiFSH/g+vQ/X6ydhv2c+tkzugr6Nv8I3H3+Kz3/sihZD52P41CWYP3chlsyfg3kzJ2L68C4Y1Kouvq9WD7WbDUHfRYew7vxjXH3iL7YJDgksvQuY4tfBr6PCKOrxkgoSaRmLtDD4hVcYRT1OUQJR2LT39oDX4+t4dH477DYMx+TOtVHnww/xQfW2aDxwCcYt349tR2xhfcYOZ08dxtlds7FlQit0+64aan7bAa3HbsbMQ3dgd98Xz30DEMprYBb1/ShKJMR1w1oBhd1hJNLXp1I07XkmyvtJ+aDTUxZevvlfK+p4ihIKIVP2fni7wuf+Kdw7MRsrBjVEo08+wcfVO6H5yK2Yu+cybG8/gfPTZ3judhe+N3fBYWM/jG1VHd/WboomA1ZizNYbOOHojWeseRkWnD916nffi6JEovBv7e2Xfy25FHSTUdP+1VT4waZgFvyNv+sZiEvuQbjsHsg+5ydAgLib0oVYShHAmveB7H33f4ZAt/NwObcEG0c2RYvPP8fX3/VH59nWWHf6MW55sPMiOAThAe6IemqNB8fGYk7XOmhUqxEa91mCYesu48g1T3h4+5NISzEK/848CXnwPAD2TwJx1jUQd54FiPGG0hq0JZGWkUjD2Bv8lEnzpEswFt0KxSzHMDGH9OKTIHizkyKUpj+VTnCR8ulPfk/h73oOj88uwYYRTdHyiy9Rs8kI9F5xCTsueuDRMz5FKgAhfm4Ie3YaD6ynYGHP+mjGRPpT70UYtuYSDl/1IJGWYvxq+pNbENbdCcGMG6GYfzMUNq751xGfklbUc4s7SKRlJFI+4d6FnQDL+YT8M1FiIvEPp6Owgv2bC5Ym5JdSvCDSgEKRsoy0FRNprZ9Gos8KhwKR5s8T5SIN9bTFfZvpWNTrezSv1Rg/9VqIoavtceiKB54ykYaSSEsluETDA/1wnbUWptwIx7c2UfiUXUfN7CKx9X4wnrPmfXAATch/GRVepHyJKJ+qwZeEfng8Bu/si8Nfj8Ri8vUwMSUqlpaIlk68TKQ8I11uj+0XnuKhB5PjiyI9NR0LSaRlGoVLRM+zVlxP+0j8z6FYcR19YxWD9XdD4Msy0jAS6UupFCLlc0fn3AzDFyfz19r/+xgVLSn1IJFW2CgU6UX3IPTnRUuOsISEXUd1+Fr7+yGi6U9r7V9OpREp1SMt4yCRVtj4VdESqkf6VpBIKYonfhGpBwJd+aj9UjFqny/Skeiz/DeDTf5PEPb8DB6enoFFvX7IF+kvg03PRMGZsOBAeu9KIUiklkMipSieKBSpL8tIH5/F4zOLsH54E7T44gvUaDwCvZZexLbz7r9kpMG/ZKTTsLDn92hWsxGa9FyAIasu4OCVp3AXo/Yk0tIIEqnlkEgpiikC81fBPH8M77tWuHNsFpYNbIBG7CL4qsEgdJlng3U2j+Dk4g0f7+fw93wAP5fjuHF4HGZ1qYdG1X5Ag84z0H/xKew89xiPnvqIzJVLl0fR35OiOIJEajkkUgrLg2ej7KP/8yfwvG+PO9brcHRJPwxv+SW+fPef+MeXrfHDgNWYuMEWR87fwq3bTnh00xa3Ti/Dnnmd0e/HT/DV+1/hi+/7ofmwtZi9/QJsrz+G23Nf+JFISzwqukjNZnPBZ0VjNP5epOs3bEBsXFzBEb8mLy9PxJtAIqWwPAKDEOjnA78n9+B65SjOb5+NNeM6omeTavjms8/xQbVmqN9lMgbN3oG1+8/g9BlbXDm9CzabJmLR0Obo+MPX+OaLmviqfic07jkDIxcfxI7TTnByew5vlpUG8Pjt96QotqjIIuXCM5lM0Ol0UGs00LDQ6/Xia4Uy5J+fPHHyF5HW+zY/I42KjhaP8+P489RqdZHPfx1IpBSWB6+I7+cL/2cueHrXAU52B2G1czXWL5mD2bNmYdqcZViwZje2HLCD9fkbuH7jBu5eP4trp3bjyOZlWL1oNubMnodZC1Zjyfp92H7sIs5cf4SHHt7w5Wv4C9bxU5RMVHSR8oiLj8edu3dxw9ER7u7uiIiIQGZmJj9AHGdjY4O69eoJkdat9y1WrFwJP19fyGQyhIaGwunmTVy7dh3e3j5IT08XYiaRkkjLINiFxrNS7+fw8XwKT3dXPHFxxmNnZzg7u8DF1R1PnnrC09Mb3l7e8PHyhPczd3i4ucKNH/f4MR67uMLFzR3uHs/h6eUDX3ZBFf29KIozKkMfqQ+T4sZNmzBr9mysWr0ahw4fxtWrV+Hj7S3q5W7atBnVa9TE//zvn1Cteg2MGz8e1tbW4pi9e/diypQpmDNnLi5etEcca/K/aV8siZSimIMPELFgJ6/YdqQg+OdB/OsFIbLYgMBfjgsKKvjImvH5xxX12hQlEZVBpCEhIdi+fTtGjhqF3n36oG+/fhjBPudyXLBgAfNUL3z8ySf481/+io8+/gRNmzXHoMFDMHIkO753H3Ts2AmTJk+Bg8NlSCQS0a/6JlQakc5mIv28YGXTv47FYPoNEmnZRKEsC8X4W0HmR75IWfzqmBePK+q1KUoiCkXKVzb1uxSBvxesbKp9Khpb74eI94KvxS/qucUdbyvSlJQUnD9/HpOZDBs3aYIvv/wKn33xBarXrIWatWrjs8+/wLv//D/89W9/Fx8//OhjfMGP+fxLfP1NNbRq0wbLlq9grSdnyOXygld9fSqNSOcxkX7DMtL/OhSLj07EiCpQJFIKildHoUh5GcpBLCN9jyUi/8UzUibSLUykfFpbed9FVKVSwdPTE2vXrkMzlm3+61/v4X/+9Gf8+a9/w19YcIH+7e//+CX4v/nX//t//iSk2r//z7CysmKZbagYcHpTKrxIo9gbzKs/rbwTiqZ2kax5H4VGZyKxmrZjpqB4reBN9/BAf9zwCMQ01pLj1dO+ZK271mf5dszBomgJl21Rzy3ueFuR8ilQPCvl/Z68Gc+f879MpIXBm/QvypRL9M9//ovoM/3q628wd+48uLq6Ij1d+sbNek6FFylvcvByeUecg1kWGopJ18Ow5FYozrrxOooB4k5KIqWg+OPgZQ25TF1Zy+6EcxAW3wzFuKvholVn4xIEPyZS/nhRzy3ueFuRcngmeY/5Z9qMGfixUWP8671/C2HyeDEbLYx/vPtPvMcy18aNm7DvtR+JiUlvPFpfSIUWKQ/+BvPCs7efBeLCk0BRIf++ZwCes6/xx0miFBSvH7z26INnAexaCoKdaxDusOuKbzXCK0AVdXxxhyUi5XM/+eKQ3Xv2oh9rqvM+0D+xrJNnoy8KtDAz5aKtUaMmBg4chKtXr0GpVBW80ptT4UXKRcm3QuDi9GAngXfB/jJcsCRRCorXD56ZhrIIKrieeMV8vhcaf6y0riVLRMpJS0vHzZu3MG/efNSrV1803XnT/kWRFvaZ8tH7tu3ai8n5fP6oXm8oeJU3p8KL9MUoi10PKSgqa4jrqZSa9IVhqUh50zwoKBh7WFbahj3n7/94V2SlL/aP8gz17//4hxitHzN2nHjd1LS0t+obLaRSiZTfNSkLpaCwPMrqWrJUpBw+6MQn1g8fMQJfff01k+fffxls4sEz0n+//z4a/PgjVq9ZLeagGgyGt+obLaRSiZSCgqJiR3GIVKFQwMXFBStXrULzFi3xr/feE038woEnPsj0TbVq6NGjB06cPCGWiVoKiZSCgqLcRHGIlDfvw8LCYGtri2HDR+DTzz4Xa+x5Vsrj/Q8+xE9Nm2HmzFm4c+fOa73mqyCRUlBQlJsoDpHyOaVSqVQUL1m+fLmo+sQz0kKR8tH8vv36Y9/+/QgODhaj/ZZCIqWgoCg3URwi5fCsNDExEcePH0eLlq0KBpn+JkTKxTpj5kzcvnsH2dnZFvWNFlIsIm3YqLH4hXfu3Cmq/URGRIgICw2loKCgeO3g3ggNCRHVwA4dOsSa5sNF0/xNRcrhfaVOTk4YMWKkWL3E19jz/tKWrVphy5YtCA4NgbkYJMoptox00ODB2LFjB5wfPUJ4WJiIEJY2U1BQULxucG/wrJQXDzl48CCGDhv2Vhkphx/r6+vLWsrb0KZtOybkz1CjZk0hZ95/ykf3iwuLRHqT2b5L126oVbuO+EEnTZ6MXbt2iR/S9vRp2Jw6RUFBQfHawd1xytqaeWQ3pk+f8UuzvFnzFqJ2qPYNCorwKU1clnfu3BXzRWvVrs2E3AZr1qwVos7JySk40nIsEilf19qnTz9m+VqoU7ce+2Wbi1qAw4ePYDEcw9jdhIKCguJ1YwRzx9ChQ0WN0KZNm+HzL77E//75L2jXvj0cHR3fSKR80IlnpTExMVi7bh3atmuHsePG4ezZc4iIjIROry840nIsEqmHhwdmzJiJ1q3b4scfG7ImfkM0Z3eOdu3as2gnfnAKCgqK14327Tqw1m1bNG/RAj/80AA1WZLGE7XRY8ayLPKxGER6U3Jzc2F39ixmzJyFnazFzMvtybKyimWQqRCLRBoVFYVjx46LElS80vSgQYNYDGZ3lKLvNhQUFBQvjaHDRb8oH7weMGCgcMqYMeOwZ+8+MVWJN9ffFP6cZ0yetmfscP/BA0gkyWKDu+LEIpHyFQHc7pcvX4GVlTUOHz4sRtr4RwoKCgpLg09f4k1xN7cnYlO6V229XBQ885SkpCAwKAgJCQlit9DixiKRctPn5uaIX5DX8ouPjxcbR1FQUFBYGtwnfC5oamqq2P7DkiySP5cLlPeLFmeTvhCLREoQBEGQSAmCICyGREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCQkikBEEQFkIiJQiCsBASKUEQhIWQSAmCICyEREoQBGEhJFKCIAgLIZESBEFYCImUIAjCIoD/D2HUel+ziBKuAAAAAElFTkSuQmCC)
A diverging beam of light from a point source S having divergence angle a , falls symmetrically on a glass slab as shown the angles of incidence of the two extreme rays are equal If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
physics-
A linear object is placed along the axis of a mirror as shown in fig If ‘f’ is the focal length of the mirror then the length of image is
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)
A linear object is placed along the axis of a mirror as shown in fig If ‘f’ is the focal length of the mirror then the length of image is
![](data:image/png;base64,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)
physics-General
physics-
Two plane mirrors A and B are aligned parallel to each other, as shown in the figure A light ray is incident at an angle 30° at a point just inside one end of A The plane of incidence coincides with the plane of the figure The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is
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)
Two plane mirrors A and B are aligned parallel to each other, as shown in the figure A light ray is incident at an angle 30° at a point just inside one end of A The plane of incidence coincides with the plane of the figure The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is
![](data:image/png;base64,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)
physics-General
physics-
A point source of light B, placed at a distance L in front of the centre of a plane mirror of width d, hangs vertically on a wall A man walks in front of the mirror along a line parallel to the mirror at a distance 2 L from it as shown The greatest distance over which he can see the image of the light source in the mirror is
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)
A point source of light B, placed at a distance L in front of the centre of a plane mirror of width d, hangs vertically on a wall A man walks in front of the mirror along a line parallel to the mirror at a distance 2 L from it as shown The greatest distance over which he can see the image of the light source in the mirror is
![](data:image/png;base64,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)
physics-General
Maths-
Maths-General
physics-
Following figure shows the multiple reflections of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another If the angle of incidence at point P is 30°, what are the angles of reflection of the light ray at points Q, R, S and T respectively
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448536/1/928894/Picture39.png)
Following figure shows the multiple reflections of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another If the angle of incidence at point P is 30°, what are the angles of reflection of the light ray at points Q, R, S and T respectively
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448536/1/928894/Picture39.png)
physics-General
physics-
The graph shows variation of v with change in u for a mirror Points plotted above the point P on the curve are for values of v
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448533/1/928892/Picture25.png)
The graph shows variation of v with change in u for a mirror Points plotted above the point P on the curve are for values of v
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448533/1/928892/Picture25.png)
physics-General
physics-
A linear object is placed along the axis of a mirror as shown in figure If ‘f’ is the focal length of the mirror then the length of image is
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4SjI5ibdyEUd+ALBZxL15Ai8UwmprREkmKH54nWlzEbO8gKhYYzs0wPHyO2cQsQdxZ8fukrI8L0x59iyZpvYMwSgBmRZ+vFDApGclO8X9deInehVHccAV3Lbvta1fn+ZOxSRpdQc2xZ0g+9zWixUXcs+/j9d8i83v/HXpVFf7IEEu/+Bmxw08QO/IF9OoaFn/8EsHoMPFjX8bavBl/eJiF//JXpa7koSPY23cy/73/QDg1ibVpM7Enj+Jdv8rSKz/HbG7BOXgIe/M2Fv76LwkmJzGam0m98E0KZ98jf+oEspAn/sxXMVvayL76c/xbvRjNLVR9+4/Jnz5J8cI5vP4+qv7H76A5MQpn3sXtuY6zaw/xp58h+H//PVcnbvKTi6Ocm0ux6Oir9odQ1kYQSeJGE7sy38KP2iknYEKIlXURJZJ5N8vZiWvMuVm8BwhY7dvv0faTX5JqaCa2cQtG/QZy7xzHqN+AvX0HelU1xQvn8AcHSoMXHZ1It0juV79Er63D7OrG3rqd3InjBBPjGPUNxA4dJspmyZ94G4TA3rwFe9ceciffJpycQEskSXz1OcKZaYoXzxNMTuDsP4i1aQvuxVIXVDgOqa+/QDA5gXv9Gt6Vy8S/9GWMpmb8kWHcK5fQ0mkST3+FYGwUr/cm/kA/8a98FWEY+Ddvkj/zLjOdjUx+9SkWd28jTMRX/D4p6+PspMfVWY0kLfxuS4yjdfc3zieEIJ3OkEgksG8XINwPA0AgSFsJnmzciRcFhCvY3GOZ1zCPlzyDbpgE42MEE+MIx0GvrUUYBsWLFwhmZ9BqajCamgimJgiGh5GRRK+vLw0wnP+AcHoKLZHA3rqNYHKSYHiIcH4Oe+cuhOPgXrtCMDqCls5gbdlKOD2Jd/MmwcQ4ZvdGhG3jD/Tj3biOVl2N2d5BuLCAd+M6wfgY1uYtCNsmGB+jeOE8elUVRv0GoqVFvJ4bRNklzO5uCEOCyQm8mz3IXJb6eDUtzTsw2vYjUqkVv0/K+vCiPDOFAtIv1SeWYyUt2J346kIjaT34N3I2nmHOiRNOTuHNToOE1Au/g7Btipc+In/ybZxde7B37SZcXLg9ZzVF/EtfRktn8Af6WfrFy8QOHsLavBVsi/wrLxPOz5WGzBub8AcHyL35K6yujRjbtqNVV7P00/9KtLCA0dSEvXU77pVLFM++D4ZJfMcu9Lp6si//PcHUBEZDI86RJymeex/3ymXCmWnsF7+JcByWfv73hDOzWBs34uzdT+6tXxOMDCOLBaTvY1sxMuk6nHg1WkxNND9qEqaBJgS6VkQXZRbuag8QsNUiLAstFsfvu0U0NwdA9pWXQWhI1yXKZil+9CFeXy9IiBYWkL5P7o3XEWapLArfw730EX5fL8KyCWemkUFAtLiAe+Uy0nWRS0ul1mh0BGF//JhwZppgeJgonyfKLoEQ5F55uXSc+Vmk7xPOzhJMTpRGOfM58H1yr7wMmka0sIgMfIrZRfz+W6W6StctVY8EAcK20FIp0NX116PICyVuKKkSpXs6l0MIbf0DZrZ3kPzaN3B27kIW8qt9+HUmsHftxtjQgDBVHeKjyItKAbNNMMoMmKZpaFp5U8er/imxuroxO7tKNX6PWzmREKUaxTLfZOXh4YYSN4hwnNIizPslhHg4uojLJ/PYdqHUMpVHmhtIioEkpkussr8ny//bV66foz6IykMoF0hyfkTKAPs+A1ZqvbQHG0VUlMeZBMKoFK58EFFlwv3WCQgh0HUdTSu/0VAXE8pvhEhC1pfkA4kEqqzyA7aSLqIKmPIbIYgks8WQQiAxBWTMcrqIGrpurGibCNVFfNzIgMAtUsjlKIYaGDZ2IkHc1DA+r4sTFgn8IgsFG8cxiduCyMuRL3gUvJBIs3DicWKOjaV/3ve4JCxmKeRzLOWLuIGObseJpzOkHR2z3EmnVeZHkol8iBtGxHVIGKWlK/dD00otmAqYAv4iSxMD3LhwicGsjaxupXXXPrbV29TE7t0nkoUxctN9nLrZRnt7Pbs6dArjV7h2Y5jesSLFWCOd27exsbuF5ri4xwStBCJyY1e4ee0yZy/3MTSfINGxk+1PHePJzhT1CWMFHazV44WS4WzpVrB1dmkO7H7PRwiBYaiArYmRkRGGhoZIp9M0NDRQW1u73qdUEhXAm+Dyux9w9epNemcWmR4dZc6NUXj9HM/9k2/wxO4utlV9+kMiKU5NMnujhwnRTmLmJgPjl3jlrWsMT88zly8wv+BiNeyka+8TPPfbX2JrrU2d/fFxotw4/sQ53nivyFJQzbYn6omdfIOrV+Z4aTAg8cfH2N9dT+06XpB4kWRoySc3cgsxO8pUVQOxDTUk7qNgW3UR19Dw8DAnT56itbUFTdPuGbDlW92YZmXXGt0t8goEs8OMjU0yNucRJapJOP1MDPZx9vgVzI5tJOub2FoVu+ubW4J0WZxeYKxvGm1vQHZplFs3L3F9zCPULWIxj8LELXrOjHNzaBHZtp34vg3UNtq3jxPhzo0wfe5lTl8/RKprLy8c6WTD4g3y7jQ3J+coeAHeWrwHUUQYhncqLu4OhBfCUDZgbqgXe+QSY/W7qU1Y9xUwTRMYhgrYmpiYmODDDz8kX8jT1t5+z8fkcjl836empqbs0pqVkQQFn8X+RWr2PsuxZ5rYktEge54PXv0Z5r/7a8Z6B+np20G0LYYGd8KBnGd8wadn0qGjbor5OclgYQ/f+ldfpbMhTW0wQXHgVf7zX/yMX5w7y89eu8zuWpNdjY23V1IFLEyNcemtd5hKHySeridlVZP6yj+j7pDPlxctmlqqSKzB2+B5Hvl8Htu2sSzrE19wXigZXAqYHBsh3XeF8c5qutqa7+u4QmgqYGtl+W6HpTsefrysx/M8JicnOX/+PBcvfkQ8Eedf/OmfEo+vxZoxgRFPk+zeTUesGi2WIGEJMFuoqWumrdbBr02QSDp3hQuIfORCD4u+z1RiKwftNPVdNSwlTbpa6qlOWjiRRsJ6mt1bP6R/9DqvzM5SKLjceeWyQLGwxMT4Im5cIjQdIXR0p5oqQxJPCWzbYC3qepaWlrjR08M777xDTU0Nhw4eZMuWLdixOEt+xGA2ZMkNqJHB7Rs5/OOlfHe3hipga0xKSbFYZGpqisHBQa5cvcqJEye5dOkSXZ2d/PPvfGfNzkWzYziNbdy9iYEMAjCSGA272dLdRFdj/BMX9jLwKYz0k/MT+M1byDhJUlVJ3A0JahNaqVZPczCquthQX0tLrYljm2i6BtKHIMv0xAD9twbonSwynxlnZqyf6zc80rWNZFIx0vG1G9ooFouMjo7yyiuvYlkWo6OjHD50iPrWToZENbMFnzAqDdPf71lpmoaul19Fv0wF7AFEYcjs7Cy/euMNXn7555w+fZpcLoemCdra2h5o86DVEM71seRKxlr+Kd/cu5F93Z+IH6HvM3ttCl8kSO/sxEoaZGICEJ+qdIsII4lhxWnp6iCTTmEGWchf4+LxU7z9q9N8MB4wIt+nUFjiv4w1sfUrv8O+7V3srV/bscMoilhaWqKnp4cLFy7Q3t7G7qNfperAs/heK5ZWXpGvrhvo+spjogJWJgn4QcDY2Dg/+tF/pei69PT0MDg4SDabJQxDhBB89NFH/Nmf/TmmVbmBji2bt/Dnf/5npNN37W4VLbIwMUD/+Q84e/o4798scDG/i21j+2hpb2RD9e3Omszj+zNcn7IIGhLsaDWIWdpnS0jDPBSvMTrnsCC288yTrbQ3xhE6EN/MjicFQXGJ/I1TRN372Xj4aX7/S81UNTZQnfr4YK+99hp/84MfVOy9AMjnC0xPTzM6OkoURRSLRYaHR8j++pc4l68RVHVjzvQTagH3u0OvYei3qzhWRgVsBaIoIpfL0ts7wcDAAFNTUwS3t9aGUtdxfHycn/7d31X0PJ588kn+5E+++6mfSmToEuTnmJ1ZYHpiioXFImc/2EFtTRUdh5uICdC9efzsIINeDWmrlo1VGs5nvtkjgsIiSz0fMh1VIzp2c3RbNc0ZE6EJ0Opo7IxY3NhKY0Knv66Vhs5t7NnTzKcLi27c6OGll35U0ffjM2cfRWSzWbLZmxhjo1R1zmNIjyhdxrZrhoFhqICtGXH7P9MwcBwbx3HQdf32TbI//lZc6UVxOe5ZfKqlSNVtYtvRGFrcxLbfYPYnb3PiFy1oTpojB5to1iCWnyKYusFsbBdVyRZatHvVzQUU5mfoffMDsumvUPvEMxyotUmY5b+u5Yr0SrvnLYZu1xJmEjGEJ8ta6WEYqou45gzDoH7DBr74pS9RW1PDe++/z7vvvsuVK1fI5wtomsbOnTv51//qXxJPJCp2HjU1NZ/sHgIg0KwETnUbXQe/jmMlaNFn+X/OZMlNTjAQQI0ZEU7mmLw2i9NaQ6Kl6pOjiwBIiqOXGLt5jXeNp2nZvIsd21M4ulhRRcY3vvF1Ojo7VvpS78vM9DTXrl/nxz/+MSMjoximSX1DI9mmXcS69/JHRzfT8/47DN28fl/HK40g6g/0xaACtgKaphGPx9m6ZQt79+6lubmZluZmznV10dNzk/GJcZqaGvna175GJpNZ47MTCM1Ed0yqnBSxYIaqpa28fDnC9z1cKYlkjrn5Av3DGnVbEtTVO58cXQxdwqURhgZG6Z2ExKZ9bOxuYWOtteLh9u7ubrq7u1fjBX6uoaEhEskk77xzAtt2aOnowmzexGjtDqyWrRzYX09u8BrDt3r4x8YRNU273XqpgK0fIUilUhw5coR9+/YxNDTMa6+9xhtvvEEqlVqHm/RJPvnBEZjJJJnOTurrl/ASCdIiwggnmcq73Fis42CVTUv6rv9HRoSFeZb63+Vin8VQsIkXnuukKWVjhGFp/kjTEZp2V02iXL551tq91HsQQmCaJk1NjRw6dJCjv/UNLsU2Es+baGFAxuG+VzFrmoZlWQ/crVUBWyWGYdDU1MgLL/w2+/btRQhR1h7mDywKIXBxhQXCwL69KbqfzbEwMIro3Ef9pi1s1kOcyRvkXZf5uj1U2wkyd+UrmOth/NYlXn1nEVHfxpYtCcL5KWaWQoLFOWZv9ZJvPUCmrYvdtRoaIVJGhBGl69Bw5duuP6hMJsOePXv4t//m35BIJPCTdfzokk8YhOyvAruM5lcFbJ2kMxk6Otppbm4mlfx4X8TlbmN7ezsNDQ1EUYSxZnfADCnMDTN18S3OT8dY1KtoaakjLjzCuRHmxhpo3bmNzi2tVMuA3OA4RTeJtbGTRMzBFkDoIbOD9HxwnJPHT/Dz8yGplgZaBuo5J0CTPr4nWVq02P61zezrCCHKMTfax3DfAH1zAZMjA4z23+Ran03DhirScQt7DRvxWCxGU2Mjba2t5EK4POsznJ9lYyxiZxocDaqqq2ltbaGuvhbb+fx7C6iArZPmpiYOHT5MY2Mj9fX193xMOVsrr46A3HQfN179C37wockt0cbeI3totvJYRoa8c4Tn929lR3ctepBjYSwA3aZlRz1OojRoIcMi0cxHXHr/FC///CTXliTFK598FpFsQ+94kc6vWzSmA0Q4z+Sta/TfGmIoqCI/PcxM3xXOX0uzJ+ZgxNY2YKUh9dJHeirrcmnaZdGLqMvAllSpe9jW2gpAV1cXqX9gZ2ZN0zDNBw/YndsXKfcnn8+Ty+WwLAvHcdYhTPcS4WdnyA5d5GLvHONLAj1dR/2GGqozGZKxJDW1KRIxE0OGuDMT5IWFl6ilxhal6xIZIItzTE1OMzE5Tz4sLbP/BN1GOHW0ttZSXx3Dlh75xTkWZueYml7ANTPEkhnqatIkUzEc0yh778HV8suBLH97fYGRJY/nGiQvNpc2Gs1msxSLLvF4DNu27zmJrOs6iUSSmpqaB76OVgF7XMgAwgILc0tk8z4eFolMFYmEs6J5q0dVJCHvR/zna4t8/8o8h6sjvlwP+6vv/xiO45BIJEinH3wEWHURHxfCACNFpj7FWk8MPExCKRnN+vQu+EwUIra1Q2uZCxpM01isV8kAAA4QSURBVFy1tXxq0xvlsVIIJMeHc4wuuWxKQncSqsrMimGYmKa1KuejWjDlseFHkrliyLsTHgUv4EgN1Fj3v7nN8vZspmk8UIHv3VQLpjw2Ft2Q3nmPa3MBloh4ohaSZTQhy0PzK91/457HXJWjKMpD4Macx89uLaLJgO4EbEzc/96HUBo9XC7eXi2qi6g88qSEBTfk8qzH6QmPHUnJjjTEyvh0l6r9lwO2eu2OasGUR14gJT3zHldmPSbzIXurJFvKvLvvcnGvaVoIoQKmKHe4QcSr/Vl6ZwvsqSpVbdSWOf9vmia2ba36Oj7VRVQeaTOFgCuzLmenPDQZ8WwD1Nvl3x7Wsixs2171FRCqBVMeWaGUDCz5/Gowx0whoNGRHKmBVJnXXqWheWvV5r7upgKmPLKKQcRH0x4/7MnRGQs5fHveq5xdozRNw7ZtTNOsyJYGqouoPJJCKXlrOM+Z8QImkoNVsC0F5d4jb3mZkVmhm9qrgCmPnEIQMZkP+fVQgf55l71VsCMDDZ+/vOueSktSzFWf+/rEc1TkqIpSQRP5gDeHspwad9FlyLc7oCVWfutVGjm0b1duVCYKqgVTHinzbsi5SY/vX8/RZIUcqS5Vy9/v7WDvVlrTF6vo3imqBVMeCZEsFfOen3J5d6zA4ILHzlTEgepSvWE5w/KlG+oZWFZpcKOSAVMtmPJICKUk50e81JPl/bEce6rgSC1sSv7j/++naZpGLBa7Xdhb2fu+qIApD71Ilgp5f3Bjid55l40Jye+1QmusrE16gY9br3g8sSY3SFRdROWhJoHeBY8TowVeG8iT1krrvPZWQXoF+TAMA9t2VmXHqPuhAqY8tCIJfhjxxlCev7+VYyIfcKxW8mxDaRFluaOGUNrxKx6Po+sru6l5uVQXUXloDWd9Xh3I89pggTDw+bNNsKcKYiu4bFre9Xf59rJrteuyCpjyULq14HNqrMDP+nKI0GdvJuKL9aX9NcophVqm6zqxWPxzt2qrFNVFVB4qy6OFJ0YL/PRWjotTLvvTIb/TDI3Oyua7ltd6JRIJLGtt97FULZjy0IgkDC8F/LQvx5tDBbJFlz/dKDlUXf76rrvZtk0ikcAwVm+vjfulAqasOylLLdflGY+TY0VeH8xjRj6HqiKO1ZXWd5Wzt8ay0pB8qdbQcWJrMmr4aSpgyrqKJBRDyXQh5LXBAq8MZJkvBPx+a8SzG0rhWmmjszyh7DixNZnzuhcVMGVdLXoRV2Y9vn9tiZ45l6QI+KPuiG1pqLZWHi5d1+8MyVvW6i+kvF8qYMq68ELJSC7gzHiptvDWXJE2O2RfplRfmDbvf8PQTystonRuD2qszYTy51EBU9ZUJCEfRIznQ06NFfl5X47L0wUOVsNzDZKD1aVgrXQoYnm+KxaLkUgk1uEuo586H3V3FWWtRLK0WPLEaJGX+/OcHCvSZAccrpIcrZU0xiBhPHi40ukMjuOs23XXJ85JBUxZC7PFkP6lgHfHilycdhlZ8qjWfPZUSfZVQXv8/u+ffC9CiDvXXPH4+gzJ34vqIj4UIkLfxSsUKQYRkTDRLZu4Y2Lo2r2rASKfwCuSyxVwvYAAHc1OkUpYOLbB2tUqfL5QghtIZt2Qa3MeZyZcfjmQIwoCNqckLzZKupKQecCGRggNyzKJxeIkEsk1qzO8Hypg606CLJKdGmD0+hWuT7gU7A1kmjexZ3sTdSkb5x6fFVmYYn60l3NnL9EzOMt8lCG+6SmOHelie3s1yYfg87XkRfQt+PyoN8fp8SJjOZ+DVZInmyT7qyUZ88FaLViu0jBJpdJ39tZ4WMIFKmDrzCfylxh673XOX7zOmZ5Zcrl5llwd39zAqUNf5eiTO3lqdxNJQalVkh4Ek1w/e5HeWxPkOrbRxEcYN2/xzo+HCLU/wHcO8GSDtuJrmQcVSrgy43F6osipsSILRZ9mO+RIRrIrA90JQePnzG/dzxXLcoCWh+JjsTiO4zw03cK7rXrAFhYWmJ2dJRaLkUqlSCQSn3lMFEVIKde06PKh5OcIFwe4efEil6+MM1BMUq2HeDO3GBx4jwuDAQXdoqmzka0JUaoiD/JEc1e49MFlzg8Y7H/mADvaBItikQ/evcLi/BIzhfW9rI6kZDAb8NGMx6VZj4O1OkfrdA7f3hRUFx+fXylPnzzfe/1s2d0BKu0I9dnRwiiK7jz2XoErFouMjY1h2zbJZIpUKlmxYK56wC5duswrr7zCxk0bOXjwIHt27/7MY1zXJQgCEonEus5RrDeZncIf+oCB+FO0P9/Gt59oJkaBuYuvcem1H/J/v3KSq+c7ePPAk7RsM4jFBVFhCe/6u/SMFrnqbuHZuEFN1RHaarbyv26bwmhqJVmtr1vrBaAJQXvK4JtdcV7sjLOlyqTG0XC0Uqv1D5/b/Xw5fHyET4dISkmxWLyzcvlerdrY+Dj/8f/7Hi3NzRw8eIADBw5UbMRx1QO2lF1icGiQZCpJLpu98/MwDFlYWODS5ctcuXIFIQR/9Id/SDqdXu1TeGRILYGwu9i2t4tYzQZa6pMYBKR37oDCQTafeJ2Z3CJTcyF+WGrtI98jNznBfM4ii44hwDBixKosWp00WDb6Onf8NQGtSYMNMR1NQJWtYa5kdeQKhGHI5OQkH354kVt9tzhy+DCbNm2ioaHhzmNc12VoaAhNEywsLN5Xt3SlVv1PEfg++XyeYrGIHwQEQcD8/Dzj4+PcvHmTd945wYUPP6SmpppvffObv9EBw8pgVG9la7oOw3YofYcaxGrqqNu8kabkSQJTQ9clQoQUF+eZH+lnoH+CqdkEWXOG8YF+0m4DfipFfTqxolW+q00A1Supzl0FURSxsLDAmffO8OqrrzE6OsqRw0fYuXMHDQ0NpFIpojAkn89TKBTwfe/RCtgnSEk+n+fMe+/xi1/8guNvHWdqehohBEeOHKnoC3sUaE4czY5RLcQnL/hlBJEkFA1kqmpobzWwzCJTl89y6fhrnHy/n+v9DlOayy//dobL246xa+deXjjYgG2s3+DGwySfy3Pz5k0GBwf59a/f5ODBg/zTP/h9dt/jkqWSKhKwMAyZnZ3ll6+/zquvvcbly1fo7e1lbGwM1/PQdZ2rV6/yv/3v/wfxWKwSp/DQOnBgP9/97ndL/xAChPjMPJc/M8NS/xBzzXtp3rSZQxt04oaD3baDrYfziMUeeotJfHM3T/7W02xs7aC1JoOpi8+E6+zZs3zve3+5Fi/toRBGEQvz89y4cYMwDCkUCgwNDVEoFBgfG2P3nt0kEkkWFxfuDIZUUkUCFkUR8/Pz9Pb20tfXx9jYOJ7n3fl9EASMjo7y0ksvVeLpH2qLS0sfB+wzJERZZsem6b+xRHznV+navpFNKQ1baGj1bZiygHGjivr+DONOJ1v3HWRHbZzqz+mR9fX181ff/37FXs+jIJfLkcvlGBgYYHhkhJaWFrLZHHINArbqHWUJRJGkWCiSXcqSzWbX5JvisSAD8IboG5zlzLUkB47tYv/eVpJC7e2wWnK5HHNzc/ieRxRV/hJl1VswAZimQUtrC0ePPkUqnebM6TN8cO4cPT09hGGIaZps2byZ7/7Jd6nKVK32KTzUWltb7/0L6REU5+k/dY6JgkXq2W+xp72etviDXVM98YUn+E9/+ZvTRQwCn5HRUd566y3efPMtAOLxOE1NTTz11FMcvD0k/8O//Vt0o/LzsBXpImqaRiaTYc+ePezZs4eW5mZaWlo4f/48/f39LC4t0djYyIsvvEBjY2MlTuERE+IuTjE/3MPNsZCgqottu3fTUWs+cJ1ee1sb7W1tq3OajwDP87h69SojIyO89977tLS00N3dza6dOzl27Bg7d+5gbn6el3/+8zWZg63oKKJhGNTW1vL888/z1FNP0dvby0sv/Yh3T59G0/WVL1d9rEiQLotDN+g9eZxbTd9k8+bNPNNhI5B3RlofthKgh51lWjQ0NPDiiy/yteef59Chg3du9DA/P79m57HqAdM0DdMwcWwb467Z8VgsRldXF9/+9n/PsWNHkVKSTqVW++kfMSFRmGfy3K/4qHeGC9FuNmd06sQsYyNzSG+O8bE8c1md7id2siHtYEkIw4goDJFRSIBEXeF+TNM06uvr+d3f/RZf/OIxurq6aGpq+kRFhxAC0zCwrcpvQrrqAWtububo0aN0dnZQX1f38RMZBplMhkwmQ3t7O57n4Thl3pLwsSLxFsZYGPyA46/+gtN9RW5oG5mfvkVvwkDIkMhfZEk2Ydbtoml/gJedJjvWz43BWaanCmTjQ9zsHSQTtWJkkqRt8RvfKdB1naqqKtLp9J1i4E93BdPpDE8dfYrGhkaam5sr2lVc9YDt2rWLLVu2oOs6hnHvwyeTK7jnzGMnIj/Rw8Cbf8VPX7vKmd45stHrvH/n9wLQaXjq2xz51vMkdQ0x08/w9XOcvjbDxJigmEzy/pkL2JGNszlO0tYfinVg60kIQTwe/wcf09jYwD//znfu1CpWsuh81Vc0SymJouhOEaa6dvg8Ej83S35qgL7xLPP5gPAzfwmBXd1MpqGNTRtsjCBLfn6aqfFxZnICz0hQ3biBmkyGdCJGwvrsRLPyWWv5GVVbBihKBan5S0WpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpIBUwRakgFTBFqSAVMEWpoP8GJxRRUK7JML0AAAAASUVORK5CYII=)
A linear object is placed along the axis of a mirror as shown in figure If ‘f’ is the focal length of the mirror then the length of image is
![](data:image/png;base64,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)
physics-General
physics-
A plane mirror of length 8 cm is moving with speed 3 m/s towards a wall in situation as shown in figure.A source of light S gives narrow and parallel light on to the mirror, then the speed of light spot formed on the wall is.
![](data:image/png;base64,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)
A plane mirror of length 8 cm is moving with speed 3 m/s towards a wall in situation as shown in figure.A source of light S gives narrow and parallel light on to the mirror, then the speed of light spot formed on the wall is.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANkAAADGCAMAAABo4NUKAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAO/v7yEhIb29vcXOzikhKQAICEJKQmNjY87O3pSMjN7W1kJS70JSnEIZ70IZnBBS7xBSnBAZ7xAZnHNS73MZ73OcY6VSvaUZvUJSxUJSc0IZxUIZcxBSxRBScxAZxRAZc4RSQpxSc5yEY4QZQoRSEIQZEFIQQkIxOt7m5qWlpUKl3kKlWkLvnELvGUKlnEKlGRDv3hDvWhCl3hClWhDvnBDvGRClnBClGXPvWnOM73PvGXMZlCkpOnuEhKVS76UZ787FEM5SEM6MEM4ZEKVSQpxSlBkIOpylY6UZQhlaEHOcnFJSKaVSEKUZEFIpEBk6EFJSCFIIEHNzc6XvWqWM76XvGaUZlM5rpc4ppc7vvc5Kpc4IpRAZEFJKSnOEEFpaUmtSjAhSQnNCvXMIvRAIEM7FMc5SMc6MMc4ZMc7Fc85r5s5Sc84p5s6t5s6ctc6Mc84Zc+/FEO9SEO+MEO8ZEM7FUs5K5s5SUs4I5s6M5s6clM6MUs4ZUpyclMXFve9rpe8ppe/vve9Kpe8IpaWEEObOtaXmrXPvrXPv73PFrXPF73OEMULO70LOa0KE70KEa0LOrULOKUKErUKEKRDO7xDOaxCE7xCEaxDOrRDOKRCErRCEKXPOa3OcznPOKXMpc3N7pQgpQnOlEObOlKXmjHPvjHPvznPFjHPFzkLOzkLOSkKEzkKESkLOjELOCEKEjEKECBDOzhDOShCEzhCEShDOjBDOCBCEjBCECHPOSnN7znPOCHMIc6W1te/Fc+9r5u9Sc+/FMe9SMe8p5u+MMe8ZMe+t5u+cte+Mc+8Zc+/FUu9K5u9SUu8I5u+M5u+clO+MUu8ZUilSQnNjvXMpvaXv76WEpaXF76WEMaXOa6WczqXOKaUpc6W9lM7vjKWlEM7vOs7vY87vEKXvzqXFzqXOSqV7zqXOCKUIc0Lv70Lva3OlMULvzkLvSsXOnO/O7+/vjKWlMe/vOu/vY+/vEHN7WmtKa9bv/ykhEAghIRkIAP/v/wAIAAAAAK4tcc4AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAMj0lEQVR4Xu2dW3LjoBKGDQhZGHZwVmCzB7wJvZ0qXHrJNqSdZU15ist2UufvBjnKjJPJjH0SyaXPNwTo0mporsKLmZmZmZmZmZmZmZmZmZmZmZmZn0AWkn4Kx1uTgy5e5u9+O9OGFt++qtPmxPCNMaYB+KmdrvFTpBBplQhe+kpMVLIghFAhLIWItWuxEbJkjkKMq4WwyWNiSK9w6dpVJMXCClF1OT2uytdJS7aQO1y/XmyF2HkJnTXZf7GBsMJsINk2+0wM0pYwEgKI4B7hXEjt8MoBE9bZhrJT84R0CMk8ydKGCi9PykwiT9OCLGQL3YQtKUjVJja2JlGRNmtkwEnrDMXWScBWJFRRVKfkZD/jkAEnms9g+GHxe5SWj+vsJtiCTFdnWQqmkAUlzJ4p20ZIdiQZYqTvoAvKXmemnc9gDIXYe9+gmC4kzOMAto1/JZkufIG3zps/DOw76r6QAfb9XdoUDels9zioJv8B2Sh1OKpDNQ7RzKvwC6paQTLUtpAuYR/ZYtYOvrH58mXqPSdquidd9vpRtPfQivMeLTHph6wWK+9bCv0Yp7Xu8vs5ywVM18Hjp190cYB+qGa16t/JY+U+k8wZVeZXUL3GwDKc/X/sVYZyXYJ1KLEV1qEqqX5F3/CtQkAr4GPcO2M6NnId5FwVOfOavHKT7SIbo0BJX2qos0jb8P629wXefC+Hq88tyGqQoUwWCzTfns84rw8/8DyHXnLh9WWrr5uHLNhUWwgfstlzLXQZ42RrLh+RDH9TPE60L+8TVqbZNcXiJW/eE1LKp+ycmRk5yIHpfS3nowy/z9zgBL/gaqL9qAiU9rmu8f4wwheh0zzX1uGAdY2ahH+uhzUlnGZ7Y+tMzR5wpHbDBZ5SCx6Nvuskc5arBEfNPb5oXe7RushhwOE08bM64d8jTb5yReM4vyHtMXeN7TbZ65/oT6M0jz+gddm8q/VYBN9WMr09oJi21Fc5uIMDULGsthYXc6XOdjgCkiGlxkqcIJm2dlC7LXaRpCZ0PQz4ZygpLu1mYRXXrl7QxOtJkuDWmidquJNkKSD9yhfnNtiB3QvJv1Br8uhTdr8lC9wbnIZwlVhCso1b4YhpPxyhC+LgyaVJmTfIcZzJgsWpeaRU1mjmJXJ7AToLz3JRhLBBm5VCDU6Onw5bcFLUsJWeQnAcVLHJx+S7vmrIv0Y0NJfUlm/WUyUiJGubHb4L2h2fwq1xojVca8SM/f5X8NhQhTjm27mQ1C2WWKZU76k3s/Z+6xe5ybOs+dfro3h4prEEIQ7cGU89Z0WKE1OnSpf32NqKmruKVQEL8gCZEFRDMI4Ak7Ia9pqK0w2ynEvNGCtT4nNt3xal+0p0dMqoWicNbsIDgh+4deDJEhyTXYg4BoXU1HNGKJbMGbSDKfKp1jCFDxVLRmNGSTLrkPJoPyRP0ll/aupGpZhXkjShOG3AFJ51pvrbVrBeKtPgxMY/4mKIpdflSdW4YBG325NQ1tto6FIJ3rmg9FC3pK2tRIvCaC6MIRndNZy2XQUkF7sUod3ogEPUfM+oEZzu85U409DYMNvGjT13klCKAZ1+SzJcDuX+zUg6C64gHRbkhBWx7QbXG8yu4UKX+nij39CwQ+0QkBMB8hkdG9pt3U4crY2ikgtXCrXqstZu0lQk+8QjxKl02bTH03KJ90OywdKsVwt9Fg2nTAU7Ls6Vr5XzKO1ioRWExM5yA/1a/HDbge7BwyMPWG43UG6WjEpqqJR0RmERCRqS6fK1dEVu4N9CssIYnJC7s1K5KX3btvzhTPFiRNVBremMdMqss9cClwWdQdsHJEwRd3rhPemsgq2xK+xLOjt5Sem7ptSYJXtLjV7mxIsMmI6WdXaLIZctUk+hkSB6yX4F5266DkknBspnmowfOU9bZCDVUs5YFh2Ke2HaY8P5LPgdVyeK9RJmkaxt2NJwpkndM6QoFFg4pOkt8U5KXMLB1lmyHPMqKG3lvrnLkuEClipApw2Z8Mhx9x0EOJBZ5D2jR/ZHtIOoSWfwfWULIleIFiF06T3P8mh6q08TPuhm9Zm6oWoj9kuWFmn4BqMMur9Nyw8Kx0eyfqApUAhnJ4xK78RVqu0TTbKhrUImQxpywyBFCx4VfZxmnXyptKi8xD0IJosWjKXCpyHLX1va6QaDDLIuqc85pPt5AdeUQYU1KWG1g/YC38+OuqODcaib1HS9LQ5RUeYqKkQ/V641tkrawmnCY/KTdaDJObYMnhKmWlMyb50JldN8NFcFZNrryeMXHwkGed6CEdV1ybLAqcnZpSD5Ls45l1C0VDbhNNlX4hBwwoONSes0GVRsn4+24giTBjb5ATW3sERavy8c11pF3F/V9hsjL6lqd4Oa/fjQ+8Z8OiY2XSTIzpmZmZmZmZmZmZmZmZmZP3K3jcjiJiPM40M6E28xwjw+NvtIHfZ5657Q1Etf5Y27QlYkWXqm+76g8QcReWzjvtB5jPsmg8yjIg9g0yj9ndFLloej7wZJj8Mx5s5siKt4wAgsd/dVpHFhlgh3pTOeeFGmSRCxvafaI039LIs0CyZent46UYraWi+LKEJtt++mPt8H0Flzn000SFbdftr9GLhfnXkh+sKMpj4n12/0k6+nBHTWT373VfVB1diZNFN6UpDOeNIKLxOhLpdrspxgUY5KcdKZDidUto6XKseyKK98qOEn8MusMx1Du77coCmqOEHJzjpztefptOwLaZAspfecOGvYT/acFOd8tpCSpp56nqIjuwplgVexIqMI6Y2UFMARJ8LANupGidg9PRtj9pWIe4Pa8gNN9rPRtPA0xk6psfOmM25hL63foQmQpgvHcBDCylUTijTF+ybPUXwX53zGk8ph980jclvNjzLsaIZ165plqQsK4xn+k+FsG5Eaeer1jtaHa3lavpGQm2bvR00T+VHDnFJGG+SzxQs12ZoNdGcdTQhPqzr5cKjSM1tCfb4+y7gY5DOYRwsNrqAoS8+UpFWdVBkbLV/656NyzAnwls+8ta15qDwt5dRuKDXWKevRAw+OF6GEsBx1EvT5bJMW4VpCKWxBSJAqPXRHD13SY0LZORX6fMbPnIH0YM8xkCQxfdOzQFQiCHFoJ2Qc+3zmd01jGkNzur1pmoq26LvZ8wMZGmHNtNoyfT7jOhWgnoPslPJJLjZZmOSR3NNgUJ7dGW+28d54V57dFcM6yH0x57Ppcdf5zNyvzqYnmW7tH2jtf9BSxg+9fyF50nt8fQT+KJbLT96AK7rJ+Ssch19mdL36uelxNX+xiOs38cgdTtdzNKNYanaAz+tAXIsZ2xp2L/06ENdyeXmEn8TPkv2BWbLv41b5bHxdcbeyjSNMjfnKrmV8OiuCUnifGbr/hvF1eTvddU7rQhcdfWjV5/PGnz7pza68PsrYGP7/mPu3SlJBS9qMDh/O2V8+NeGrs2pfBv2mLjTjm8EjbXk2bLaqoii/OBfa74g0POFUNOPTWpMneGjPK3BFXmPvC6QBitB6zevW9YsMjgcak7VSvrgq/6FLgY38+v3BM/akj6QZIESMe93Sgl6jm9eZ1t4ypl+3/sBzHxLN/v2Su9LmACINA4K4I+d5+cTRQJJ9jBrmHscL1X3A5CQb9gHQGrwfosaXzz6XbJga+4U5LzJOncWSFoFLxLIKtCJder1fl86ZQdBbylS0GuI4LUjt3v7TI6Cu5LT7L/9jjfulQ8qxZwo771E9kpkcoc7I6uOa67o2pAb1/MUqYCrPoqk9O/MCrCNC1rF/ak7WtIjk8YvVdloIWCnu8Lcoz6qx9cqRtpZ948p1Phy++hius4fgU2WanGN8iMttBwmptekKi5Z66z8XcnvW7mZ4iBHx7m6njdXuFI8xfj65YxD4abwx8bh7FcLUQtX3NiJIs8SiplmL47ML10FmPNJ6xDzDlBqY3MocviaKs0Gcql1saBpmy3+bTZ8Bt/7fjW+DH+nnWXGyjUtukeaJcplyfIOcXyMv3Y0ivFViT/8zYHl99DPTlYwXjRZVvQ3iebXotnbjlIg1CXwyqIalvwuYHpKW/FZJSce8JjavSU9dyktann6qOmvRRonWc0vzFFJVo1BQFA3+Rg31TWpa/gC2+lSeKVrcfL8o7Na5kpbK578UgGST1RmpxnsqzyBk0+2E8rAgquD2SuvjZHX2RF2Pa3wqylkxiGBhSmAROX0qOMvJVk64V3XX2E3Bs6D9wldwpCnSFb4n+FBnj4+nakX99lSvevs9k6NNkP5hwJm7Y8KpcmZmZub/xGwZZ2Zm/pF7Mh+zKZyZuUMWi/8Bs/Co6Ze4DbAAAAAASUVORK5CYII=)
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