Maths-
General
Easy
Question
- 1
- -1
- 0
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
Hint:
In this question first we will rationalize the equation then we will divide the equation by x and then put the value of x.
The correct answer is: ![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
Related Questions to study
General
Elastic potential and gravitational potential energies are equal all the time.
Elastic potential and gravitational potential energies are equal all the time.
GeneralGeneral
Maths-
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
maths-
Where
and ![n greater than m](data:image/png;base64,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)
Where
and ![n greater than m](data:image/png;base64,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)
maths-General
physics-
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
![](data:image/png;base64,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)
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
![](data:image/png;base64,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)
physics-General
physics-
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,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)
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,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)
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 450 as shown in the figure After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 40 The angle through which the mirror should be rotated if the total deviation of the ray is to be 900 is
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)
A ray of light strikes a plane mirror at an angle of incidence 450 as shown in the figure After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 40 The angle through which the mirror should be rotated if the total deviation of the ray is to be 900 is
![](data:image/png;base64,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)
physics-General
physics-
A given ray of light suffers minimum deviation in an equilateral prism P Additional prisms Q and R of identical shape and of the same material as P are now added as shown in the figure The ray will now suffer
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zxSVPR4KUWoGK1G+SmcMg+n/Y2baSi0klHgzjmKdG9v0LNIUKYBNBPdPihgB4f03aNSztm7HXGamX0iy4Xzw/jza0e3DrXgpvnVlq7cecrCJcaU6gMM7NDWvyumF5p+jBBiQ8dZH6s3+6Phf83WqyxUOa5dBfqqa+Fsz15fMAUaS0s16RBhDDBoZUa2yVeUguKpsFvbvPqyRD0OqwNKL409Z54JIRmaQ5cMaNAj7ah2Te/VlnrwqWCfqJsl+C5+V0qArtK3YudN7h0gQxbKc5cynRJFUzFsqGeYvzoCgcaLbNj2AG/rvYOXcJjjGRDhDCB4Q6SPUq0h+KienK1E2MzgzjiKanVtgWmnDaaI+ilokK6d1AMX9/i1k3LHAsly12oaVifxV499re2XuXAdSkmPWWC/a1sqq9NWCm6zxXD65vdqLfYpqJCNxaeLtIzEKWItGYQIUxgWAjDBdRxvVNFg3YVDbqx1lQMT7R2VxM1mF6nNDHmTDaOabpnIadTBFS0WKIfUoJQk/jUZmxlQRivKbG5Q0WDt82z6HQ9/XZjBrgB+fXxfPBxtYGl5+mHe7x6dJO4MdUMIoQJCDM6vJhi0dMlUq3a+HpqVhDZSmiM0MROY+FjKlr9eJ9fz0LkJHuK4qr8sESFQo1zQq0DTkZ5eIlNzxpkxmTeySLDCA2zOTSn77fDozexHdY5Me14SBfTiBRWPyKECQhLsdn/lJpTpHeT9y60YIDaUe5xRXWVnFHwxMp1xEqz4Z+Nz9Vz38Zk+mEpKlViLctdqBmK1UZrg7lYF6IwNU8nGRZs7TNYwRbXKiuq2ysRZF/jOzu8SDdH4JOosNoRIUxA2Dy/1RbRaR+WhD+12oH5p0JwRjgB2zhw5NMRT0w77t+gRPCXX+ah3VoHVuSF4QiLD6lQM7Ad4eO9PjyYasMNSggZbc07WdlOZDSOe0vwwW4fmi13aC9SGoDz94TqRYQwwWClG1sUeN5G30KWg3+y36ddK2rCPf9i4FfDUTT0IX1hQyH+e0IeLp9egN7bPdjliFTrbERBIEy7p5woQuNldj1rkGPIRh7y6zNrI95uPM9ffDqMrhlunSLtqqJYbhQvpRFGMiBCmEBwaXhj5boknKbWV8wwod0ap549SENho/Yh+WMV2k6qzlwLfj0xX+9+WUhjDZfpMnZBqA6YKWEVdd+dXtww26Jt/p5PL8TqgmLDbRLPwipRTss/O7OQZ5lD9/t1VGuEs/5EQYQwgaD7xGG1QEYd9uszBVZifqoWDZuG1UbYsLBw5mwq97pZZj23sN8uLzZZI/CXiOOMUD2wKZ3N8xQTiiDPz9kuccxz6ZvnLwQ22fNssPc2+gQ78MIGF2arqNZRS73AiYgIYYLAdcwzQA4VfV4tFPYfvZzh1kM/i0qMvXNkcY87Wq7PMZum2XH5jAIVFdoxWj2kstVuWEoDhIvnDHY7Ijq1eN0sE25Xmy1aDm6ycNag8auU6Q418WgQndNdSgwrC2doDScxYfUgQpggsOz7QGFMu1BwjlqL5Q7MULvfAoNHg+eS7S3RDydWj944lzML3VidX6x7qmTFCz8WpkQ5Zol9efcstOJv0wt0NDgtK6izJUY9MjgXTqzfbI3goz0+tFRr++nVTqScCOkNpJweXDwihAkAjzdygqWYc7IIXTcV6r7BnnRqcUd1ujQeFjoJKsGbr76H1qucuEkJYcNldnxWZS9lhCZnIT6hCG6yRPS5+VUzTLqI7MPdPmy3R1AUJ1YtzJrkh0p1r2PnDYVolmZHn21u3WQvY8wuHhHCBMCvdoubbBG8t8unp0uwXYIjl/zqARBPVKhnEkvDB+/z4YFUm+7vovnwXLX4HbVseyXEJ/Tu5D3FiQ63zbfoArKO6136CMFcpKLBqtfFAzwr3OOM4WP1vTyxyoHHVtjx+eFLN1M0kREhjHO4oaWDzNSsENqudenJ7x/s9uJwYbRWTIMvlrDa3dIkvP06l06R3r3QogRefT/uWNUrBOGHwbufvp1r1P3Ucrkdv/gyD3XmmvVGK8tXEneRFDM7NiXey/LCeG2LG/eoyJbRIavEI+VnDNn+ES+IEMY57DNaW1CsHfQpgh2UgKTmhBGK42pLlovzYcWpFNfNNumycbZTuCOy8xV+OOy1o6XgJ/v8erIEDRvYPM+xRp44y5achcJOe7ixR4J4KNWGh5Zwkn0QJ/zSTnExiBDGOUz7jDjoRxslFtz1Dtjj0x6e8UxEPcBYGNB7W5Uh8nwzum8qxCZLsZyHCD8IagKb5GdkBfUQ6J+Oy9XDbmdkhVCgfj9Ojga/AZM8tF5jO0XXjW593tlmjQuLTxvHJzUeESGMUygHQRX18azjxY0uvdhf2ezGivziSz5ZuybgxHr2fNFN46qZBbhngUWfh3jV7wvC98HIiSnD17cU6ukmP5+Qhy4bCnUjenm8VI99BxT5nABFvnKm5/WzzDojxBYLcWP6cYgQxim84Q+4Ytoz8bEVlbMGxx0Jql1wWUJ0GtDpgw31nFN42zwzrp5pwiub3LqCNM6fY0INQ6Fj1Memc/aj/n5yvh68S9vB2p41WB3w9g+VVuCoEnU22V+dYtLtIDwSMYUY7coCuVBECOMUumRwR/jc+kLtNtFLLQimSzh1OxHgWmYPZEp2EZ5Z69RCeN8iq04DcxSNIHwX7kiFLriiU9E1s0y6gZ7jjA6qjSNdjBIBpkj9scpnAH1T66q1wZFrdGgqkhTpBSNCGIeUKpXY64ihz3Yvmqc5dH/UlONBXT3KfqNEgT2QnKbPXkKah/91WoF21WCxg5EtsYTag9FQppstOH7UW2zFn6bm6zYDFpQxy8B2ikSBxTGcZM+6gAZLbHhCRYVTjoeQFyiT9XGBiBDGIZaiMj2ks80ap44G2Ve0zR4x1KzB6qJQ7e61bVy6C/9QUSHH5jAdnB8sQ4mkgIRzoMY5iivPzdlWUDlr0Iz+u7w4rTaJiQa/X1a/rjEV635bjpXqy5mFpgicYeOa7BsREcI4g3ZpGy0RvLHFo88/uqhocMGpIljixCrqQmGV+yG1wx95KKAX+p9VVNhqlUNHhUacHyfUHqwo3u2MYZDaKHHy/E1KCNuvdWJpTli7FiUiXPNmtfaH7PejcZpdzyykR+8hjl2TqPAHI0IYR/C25uR5DudsmkYHGSeGHQhgrzOK4gSdT8aFzvPQDCX+r252636wv6vIkK0VuxxR6Z0S/gWbzadnh/S6oAg+uNimhz7zTDmRC0hoP7iqoBjdNrnRYoUD3dWPS9RG0a42irI6fhgihHEC0yBMfe6wR/GSigLvW2jTUeHKvGJtsZRARx/fgFWA1iK67wdQb5FVO4Rwusb0rKCOCkUMBd4Du9XaeGuHB3fMt2ohfH69C+uUQJTSuy/BodizKrb1KoeuIP3soF+fHyZK8VxNI0IYJ3BHy0b54eoGb7DUjkbq4jDbU/6SpOgd4iT7HfbKmWx/m27Cn6eZ0GOLG9tsEV0lmMAbfuF74GdfECjDxCNB7bV74xyLnr7yxeEg8oPJUWHMtPBWthttduueYkaHs05UTp8Rvh8RwjiAz3hGgzSfbrnCjrsXWtFrmxsbLcVJ4ybBjQCNt5fnhfUE+19NzMf9i2w6TZzlTaxqWeHCYBU1I7/O6YW4Za5Fu6302+nFbkfitEv8EJga5sxC2iw+riLDt1V0TIemEokKvxcRwjiA6Q26RvRVN/blKhpquMyGBaeL1G6PAlD1oiSAYkjbrN7bvPjNpHz8Wonhs+td+vyQTiJCchIqLddpwTuVADJbwL46mtDTnSiZKFFrgNMpPtjt05vF1qudmHQsWDXJXsTwfIgQGhyd9gmVYeGpIu0gc4Va6HSej0f3/OogrBZ76mkVFabZ8Vs6hqiH36hDfm2dJechyQczIltsEd1ec9VMk86WcMPIs/RkbK/xKPFnFflzaoPIDUHPrZ7KjWK8TOeuJUQIDY5e6NYI3lQ3dN1FNn0QTg9O9g8l42OfUSHLxSccDaDuYqsetNpurRPTVQTA3kIhuaDNGB1VmBL952wLXt5U6bfLSuNkXB9spN/viun5i0+vcaLVKqc2pMhJwD7K6kSE0MAw4mMxDNMbjIA4dmWYuqnptpLMlZL81tk60XmDSw9avXO+VVcLSjtFcsFNUVpuGE3V2vjz1ALUV+uD/abZvlKUJ3EARFMBvi99tnt04Uyn9ELdXlEkUeF3IkJoYOzhcqxUN3BvdUPTS5Dpjk2WiLqhaRVV9aIkhdPFmRKljdY/Z5u16fgMFSmbVLQoWpj4sIqYm8QPd3n19IVrUkzotqkQaXlhFCb5hBJaE3I8GwtnnlbrghMq2HB/zBuTtfEdiBAaFC50Tlpgu0TbNbyZ7Toa5INeqCwg2mqLosdWt44I71lo1T9fozYOvgR1EREq4bOchWIzaTi91I6/TCvQUeHkYwEtADKKqHJgN63WtB/xCgeeWefUw60DMRlj9m2IEBoQRntskl+SU4RuGYVaBOmqst5E42B5yBN2S3jVYueoncdWOHGDigofWWbDMLVx4IR7ITGhxNE6jFMWXtzgwp+mFOjJJH22ebTDEmd0igzyrBB6kj09ielD+kCqFX23e5CtokK2m8h79FVECA0Ic/k77VEM3e/TjvJM+zHNUeknKrfwuex3leCtbV7cs8CKm+eatfcqo8KwnIckJIz28tU64Ln5XQss+NXEPB0NsoAsEWYNVhd8Svij5djtiOKjvT5dWMZCO1afW9X7JPvpryJCaEBolzT9eFBbqbVcXjlrcLsSxmQuAPgubOFypGSFtLkyKwcbLqtMIWd5S2TTkGDw4+T533pzsfbT/NO0AvwjxYT3d7N5PirFIF+DzwtncRkWni7Sk2oohm+qZwkHXst79VVECA0G0xa0SnpruwctVtjRcb0LU4+HdKpU+CaMEI55YvhURc8sKLomxaz7LbnzTcY+y0SGR39M932iPmtuen46LhdN0mx6DJFXRT+sIhW+CgtnWGswRM9ntOkWrDGHA7AXq/dLNor/QoTwElBRUYGSkhKEw2H4fD643W79YyQSUX/6fzcjf8YeOaZ92APUfLkdA/Z4sd8Z1UNFhW+HNlqr8sN4dp1LVw9eq8Sw3w6v7p0S67XEgBrHaJCfM9fG/07Mw9+mF+D9XR5dOCN8O9w80GEnwxLFM2p9cHILB3nTcICbB6ESEcIahAIYDAZhs9lw8uRJ7N+/H5s2bca6deuxc+dO/ft8zVlCpWf0+dbrW9xKBB3olO7SkY3csOeHR/902hl9KKA3Dxzgy4HFC04WyczCBIFeu9vtEXykNoa3z7fiyhkmdNrgwgZzMYqSxG/3x8I9NHsLPz3gU++dGY8srYwKM90xHTEKIoQXTHFxMRwOB3Jzc5GdnY0jR47gwIED2LV7N7Zs3YoNGzZi1eo1WLYsDfPmz8fUqVPx+edf4OPBg/Huu++hb993MHjwECxYuEj/G2fO/N8iPh0o0ykMOuczpz9svx+H3XLW9X3w3WFZOA2GaTTMopmrVVTYPaMQe1Q0LcQ/lqIy3R7B6RIczlx3sQ0zsiodliQl+v3wyIWbhpcyXLhvkUVnT1JzwvoMUbYRIoQXjNfrxb59+7Bo0SItcB8NGoS3+/bFa6+/js4vdEGbtu3QvEVLPPRwA9xftx7uufde3HHnXbjp5jq45dbb0LhJU/R56y0sS0vTgnqWUGmFtoaiZyJHLPGBvkr9Otmbg38oFWqhc+TOlONBNFVR4R+m5OPu+RZMVb9mxCDPyviFPbU7HVH02ebGLfMs2k3ohY0u7HLEql4hfB88IuBmIiU7pDcTD6Xa9VnrPldUP3uSHRHCC6SoqEhHgOPHT8BLXbuhefMWuO/+urj1tttw/T9vwJVX/R1/vOxP+PX//ga//NX/4Be//CV+/otf4r/VdfnlV+jXDx8xXKdJGV2eJdNTgoF7fWi+wq7PQL48GkS2t0SnNYQfBivhttmi2nuyjooK/6Yih5fUA5NzDJlelrcy/ihR+8BsXwnGHwnodDddhBqn2TFJRYdM9wk/DN77jAqZYWLl6IOpNn1WOEsJI6vUkz1DKkJ4gZSVlaGgoABz5sxFt24vo66K+q648ir89ve//5f4/fy/f4H//K+f4af/+V/4j5/8FP+urv/9zW9x3333o0+ft7Bu3Tp43G51d1befXRJYWP4U6sdulKUs9Q2mPnwlp3ahcDFTOu1ZblhtF/n1Cm02+aZdT8mp1MkxKbiTCnKIgGEPE647DZ9zszLarHCanPAXuiDJxhFMW34qv5KPMM1sER9nl02uNRnWTlrkBudQ+5YUk6XuFj4frLnku1Gj6uNRb8dHmSoZ00gyc9ZRQh/BIwKmR4dNXIUWrVqjauvuRa//J9f479+9nN9/ezn/62vs2LIaPDGm27Gyy93x/z5C5CfX4CK8srdLF0y6KDfd4cXDyy2onO6S4liCKf8pbLQfwTcVNBm6+N9PtRRIvi7yflqg+HEyvxivdjj97xV3S+lIUR8JlizdmN/xmqsWZGmz6LTli3D0tQlSF26AsvXbsPGvSdxzOTTk/vjuVSInxT7QYfu92vD+ZvmmPHEKgfmnSyCXwpkfhQ8Tz1QGMNHe3xaCDusdekqdUbdjBiTFRHCH4nf70f6+nT07NULt99xJ36tIj4KHy9GhGeFkD+//Ior8eSTT2HSpMnIysrWrRSES5kuGbOyi7TrQ/3FNn2D7nfRKkoW+o+BS5kFFKm5Rdqj9beT8nHjHAs+O8BJ9iXx6ThTUYLyYg+C1mM4vXcN0hdOwbSxIzFy5EgMHzlabchGYsSwTzH0k2H4dPh4jJ6Sinnr9mPHSRds6v6Kxenzzac+x+UqGnxhQyFunmvRBuvv7PRgnzMmae6LIFBSru0bOb2FVdZvb/fojWIy1yOIEP5I2AO4c9cu9H//fdSt9wB+/4c/avFjRHhWCJkW/d3vfo+GDRvh00+HYffuPQiFiqr+hcpm8HRzBN0y3LhvoVVXcnGoJidKS1Xzj4cl4Sf8JRiXGcAd8yx6mj2jwrkq0ubMwvhKkZYpEXTAl7MTB1ZMwazhAzHgg8F4f8RUjJu1CAuWpmHp0iVYsnge5k8fh4mffYQh7/fHewNHY/DUdVh2yAFTMVC59YofGJxQ8N5VwkcBrKOEsIsSxCU5YT1rULg4jnpj+HifH61UhM00KTeKh91qg5Gkzx0RwguEAmi1WrFnzx5MmToVL3fvroWQRTK/VaL3i1/+Sosho0GKYZ06t+iWCfYPulwudaNV3mksArAWlWHMoQDumm9FvUU2jDwY0C4Qtdo8r76+M6VRlIR9CHpscFjykJdzCidPnET2ydM4lZuLvDz1e+rH3Bz1Y4ENFpcfnqLKr9so66i0vAKH1XvJggBOsmc7Rc8tbl1MEz9Vcur9jHkQyN2Ow2mj8WW/bujavgueeXMshiw7gm25briCQQTUFQw44c7dhcOrxmP2x93xRseOaP1cf/QYl4EVagNgi1RmIOLlOeePlethy6ygvjrFhIeXVPa+5QVKa6ECWP0Pz5ShorQYkZAXPpcVtvwc5Jw8gRNqXZw4pX6em4fcfLUe8tS6UD/PyTejwFoIpy+sq5aNJt2cTpGWV9mzTBvHlza6dTtFsk6nECG8ACoqypF94oTuDeyuBLBFy5Zo1LgxHmnYEPUeqK/PARkZ/vt//BQ/+el/6iKa5557HqmpqbpVgoU2+t9RlytSoQ+pO6cX6urGtmtc2K4e0rwRa3VXVl6CMq8Jrqwt2LtmBuZNGIJP+r+N3j17o0fvfnjnw0EYNOQTDP5oAAZ8+DE+HjUdE1K3Y90RB3L9ZYaKPJhaG3ckgNvnW/C7KQVottyOOSeLYA5xcGs8SEIEscKDOLZqDKb1fQadHnsSjdp8gJ5fbtNzKX1f1/MzfkQs25RoforRr7XGUw81Rr3WH+K1qQexyRRGWL0kHh5z3KewuOmtHV49VeTmORZd/UuzCZ4BX3rUu1am3lvPKRQc3oDNiydj6tD+GPBmD/Ts8SZ69v0A/T8ago+HDsHgjz/CwIEfY8CQLzBiynIs3JyNo64Y/i8PZAxoup0XLMP4o0Ft6t88zYGBe3w4pDaPsSQ8KxQh/B4YwdEd5vTp00jfsAFDP/0UTz71lO4PfOjhh/F8p066j/DN3m+iVevW+MfVV+P//ftPdPUo+wmnTpumXWXOngsSpkQZ+X2yz48HU+26Eo7N8y7tglLLN2F5DKXuXDiOrMTmuQMxvGcrPFW3Dm66+mZcdVszPNLuFbzW5y30ffNlvPx8e3Ro3xkdXxmIvl8sQ8qWU2rRRxFWzw0jLCVGqDRj7rXNjWtnmXHjHLOeZM/GYkYcxka9gzETCg+kYNnQF/Bqi/p4oNGLaPHuSsxQ9wpF7VupKEQgLx1bJ7yG91vejltuaIw7nv8SwzcV4KS6BcNfF08D4iwux5TjKhpcZsc1M016AsuXRwPaZ7R2CjoohD6E3Vk4vWsplo/thw/b1UPj6y/H5X+9GdfVbY3Hu/ZC97ffwpu9uuPVLh3xbLsOaPNsD7zUfxJGLTuMnZZiBA123sGsFA24e2/z6LPCdmudmKaicL7/yYYI4XlgBGe325GxaRM+GToUT7dpi/vq1sUjjzTEiy+9hC/GjsWatWuxY+dOpC5ZogWR/YQUwZvr1MHAjz7C0WPHUKw9RSvhUuCNpos51I1370Ir3tjiQYba4dfObvdrnKnAmZIQSoInYTo8F8u/6I6eze/C3f+8H1c37ouuI1dh4+69OHZ4I9bP/QxjenbACy2bokXrbni2/3SMSc/BQa8SISN8K+proA/pirwiParnj5Pz8UCqTVchsnDG0LBAxroDWQv6YUy3hmhZrz7ufeoDvDjlGDZYql7zrSixcB9D3opPkNL9ATS4/jpcXvdldPxyN9IKzsBRXJmRMDIcQdZhnROXTc3HTSoifEdFhtzQFKtQsXZuK/V/PVOKcrUugvaTyEqfiUXvPIpnb7sSl/3xAdzaZhAGLN2EpfsOYufudGxa8jmmfdwVrz3dHE0eaYOGzw3H+/MO4YA3BvocGen9zw2W6pmFL2xwaeu1Hlvc2K8i2GRDhPBbiEWjMJvN2LZtKyZPnowePXuh5aOPov6DD+Gxx5/Ae/37a+E7deoUQqGQFrpjx49rYaz/4IO6sb77K69gY0YGQkVfTYqESir0oh68z6eLAFqonRgLZFixZSyrqCCinm04sGQgPn3uETS5twVu7fglBq20IqBXcgliBZuxb0ovfNzufjS8py7ubPEG2n22HnMyg3CXGOd7yQuU4F0VCTLNxsjwufUupOWFK5vsjfSWn0t5CKHMxdg0rAP6PnYX6t7TGPW7foH+a+w4GKx6zbdyBhVBE3y7pmLjx4+h7e1/xR+va4p7+yzFqJ1FyPGWGzY9ygiFhWJjMwPaJu+PU/Lx5CqHbicyimfsmbIi+E9kYP/Yznjr4Ztw5RWP44E35iAlL4Bc9eflSupKXPuRvWoEJrzaDE/eeRuuvflJNOkzDzOO+WFW34aRqnhpQrFLPY+G7PehsYrAaVpAYUy2qFCE8ByYvuRkiP0H9mP27Nl499130b59BzRr3gJt27XHu+/1x9x587QrDAtmOE2Cptm82NTMs8COzz6Ldu3bY9HixSgsdP3rXJBwPtgpfwmmHgvqfkEWALy13a3PQ1hmcraQxhgUIebdiYPLPsbwzo3Q9P6zQmipEkJF6CRcW0ZhXr+WaPvgXbj5vja4v9tUfLIqH/lB4ywknrsuzQmj4zqXtuhqoHa+HFZKH1KmqY3ImVI3bNunYuFbLfBS/Vtx112PofGb0/DZLjeyv2/YQrEd0aMLsHdcR3Stezkuu/w+XNNxEt5bZkGWeugZtSKZm8GV+WEdDV4+vQD3L7Ji2AGfnjxvmLaX8iIET23G4S9fQr+Gt+CqK5+oFMJcP3L4x+o6E3XCdXAp1gx9Dr0b3oRb/nEPbuugosIMJ/apiJxHB0aBjxxrUTkWq/XBwjKmo1/Z7MZ6UySpxpiJEFbh9we0gTbFjOeA3bu/gnZK/Dp0eAavv/4Gxoz5XDvCsGKS1mjnTo0gPEfcu3cvRo4ahTGff66Lar7+GhZvsF2CswZZqcUH85yTIfhjBlnkX4FCuEsJ4WAlhI3RrG5LLYQfrTTDd1bbyxyIHk/B+hHt8VKTO3Hzbc1w49Mj0XfucZz0Gmc0DpvoaVAw/EAAD6nNB6MN2tjRYcMZMUak8XUqYhbkpn+OKS83QIe7bsHtdz6Flu/OxbhMP3K/7/kUK0TZ6TQcmdkNPRtchb/86Vb8ueVn6JFyEkfMYUMOeOYDmUYIH+zy4noVuf9VCeFzarPIAhlHuMw4XrEqIqQQHpnYFe82uhV/pxC+roQwx6eFUN9NFcUInszAjrEvY2DLG3HHFTfi+icGoscaG7aE1MoyWLDFI5n9hTEMP+TXhTNnh1vTm9Q4deA1S1ILYXl5uRaw/Px8ZGzajHHjxmnRa9uuHZ566ml069Ydw4Z9hhUrVuD48eMqwiv8StHLufD3GSVu374du/fs0f/uufCQ/5g3hglHg7pClBMmBu/zq98rMeSDiUIY9TAiPCuEj+LWZymEFvjPLuQzbvXAnYdNYzqie9M7ccutTXHDk8Px1uzjOOEx1ow4LnY+VBmJ19FWXRZtbE7TYSM6+FRE83Fy9QhM6Pwgnr61jhLCNnji/QWYlBVAQdVrvpMSN8oLVuP4/NfwdpOrcfkfb8YfG32MVyYfxeGCkOHuN1bwcpOYlhtGszQ7fvVlHu6cb8Gn6mF8Qm1gDDUqqFQJ4cnNyPyXELZC/TfmYlZeAHnqj/VXWh6A79hqZIx4Af2a3ohb/n4H6rT9FP0yHNgdMV7BEm9/e3EZ1pqK0WurB3cvsOrjgwxrRDv4GPLxVM0kpRAyUotEolq4duzYgWnTp+u0Z6dOndG2bTt06fIi3lO/njFjpp4b6HQ6v5Li/DYq/82I7hVkevXrr2fOnR6YvVU0yDw83TKYruOZoTH5uhAyIpyAgSsKcDbYOxM1wb9/EpZ//CQ6N7wbt933JO7pMhkfLc9HXsBg214F09KcWdhSvf+MCmnXNeV4QA9DNpoUVkQKcGrNKHz5woNocxuF8Gk83n8+vjzuR37Va74TJYRlWghfx9tNr8EVl9XBn5oMwatTjxlSCAOxCuxxRPH+bq+eJXnZlHy8nFGIdaYIvEar7v2GEDIinIUZp704pd7XkjMlKPFkISdjEma98zS6PHQXbrm9FZr0no2JKprPUa8xotMPK6xPB0ox4UhQF5Y1WFIZFR5ylyTFzMKkEkKewUWjUR3ZZWefwOrVa3Q16DMdn0WTps10IQwLYyZNnITNm7foSJHFMD/07I6voyB+PSXKESgHC6N67AnnDDItN1TdZIwGjZt5oBBWpUY7NUKze5ugTpuR6LfgOAp8IfU+BuHN24Wjiwdg/GtN8WSDB3Ffy1fQauAKTNntg8MIZaNfgxWkW9Uul1WIrNa9fZ4VXdUDl+nqmMHOQ85EbcjbMA4zuj+CjnfdjDvubIXmfWfj80NenP4+IYsVojR3BY7O7o5ejf6By/9yO65sNRq95+bgqKXYUGeELBDLCZRh4tGgnirxq4n5+mxwVnZQG04Yzv/yX0L4Et5rXEcJYXPc99KXGLfvNPY4XTCZT+D0niVYN+VdDHrxcTzZ6DE89NSH6Dl5F7YqsQ+pf8J4W8TKxxBtHTdaIuiposK6i2zajYm+rrQsTHQtTCohZMSWk5ODNWvWYsSIkXqMEgthmjRppmcJfvLJUKxYuVJXg7IQpjrg/eOJlOtJ8yxRZlM3+9rWspfNsNEgOUcIn38ETW+vhxuavoUXR67C+t17ceRgBtLnfIZxb7bBiy0aoFGzZ9Gq51gMWnoMO2ylhioIOBd7uAwzOJNNRYXXpJi1td3nhwPwGKxK7kyJF84dM7DknZZ4+aE6uOvO5mjwxhQM3lqIY//XjfPtRJyIZS3GwUmd8HL9K/GXq+rh5i4p+GiN2gC6jDVyh64rbJd4Y4sbV6pokCbp3JzQ7osbSMNxjhD2b3oD/v63erjpsbfRZ9IsTFgwB9MnjcToQW/j3de7ousL3fFiz6F4b+JGpGUWwllVC2BUTeF9URAqxXz1rGLW6qY5Fryz04tMFRVSJI36dVcHSSGEsVhMO7vs27cfM2em6FFIzZu3xP116yohbI5+/d5FWtryf7VD8OywumBV4l5nDB+qKOnRFZw1yObgoLrhjJeO+ypKCFkskzZECWEDNLnlLlz34Eto895UzFi4EGkLxmLcwFfQ89mn0fapF/Hcm19g8JydyMjxw63ePqN+b0wBbbVVNhHzHOrv6uH70sZC7LbHUGIkhSgvRtHx5dg2uhPea30X6t39MO59bjjeTC3AbnfVa76DMyEzgnunY/PQ1mh359X4y82t0WjAOkw+FEN+0DjjmRjtMR3HSfNMx/1paoGewDJJrQ8WyBiSc1Kj7zf9J/7xlztxTYMu6PTeu+jz9ot4qU0TNG/QBA8174J2vcdj2OK92J4fhLcsPs7auD5O+ErRZ7tHz36kF+lcFRXyc0rk6RQJL4QsYjl27DhmpqTgjR499WDcB+o/qF1f3uzdG7NmzcKhQ4f05PmagGccU4+F8PRqpz6bYsUom+eNX5p8zhlhp4Zoeld93NjiHXQdvhRr1q/FtvWLsXjOdMyYMRcpC9OxavsJZBb41fdr7AXPd509aUtzK933r5pZoMf7DNjj0w8Aw8AG7sK9OLX8A4x7tTFa3Hs/bm3+FtqN3oc1OecTiXKUeU/AtGY45r3RAI/ceAeuavA2Xpt9GJs9Z+BW36JR7jx3tBxL1OfA8/LLZ5jUg9ek+2s5KNaw51LnCOF7TW7G3y9/BHd0HIIPUqZi7IhX0LvVnXj4tntw6yPd0HbISqRkBuGMM/1gb+HskyH1vLLjvkVW9NrqxmZrRP9+opKwQsjUZl5ePtauW49Phn6KDs901ALI65mOHTFy5ChtnM10aU3BHdQBV0w7x1ROhHZj1olQZTRo+MVxbrFMIzSr1xy3dhiD/vMOISc/F4W2AuTQcNsThj8aX3Pv+NbTUePzTD/uVQv9V1/m67YKmg4bx9RAPXRKrfAdW4C1n3dHr1YPo/6D7fFQt2kYud4C63cJWlkh/CfWImPsG+jfqj7urfsMGvZehGn7HLCqv0BnEyNAr8sj7hK1AfHijgVW/HZKAR5faddnuIbm3GKZxrfh71e1xsNvLULK8WPYtXsmFnzUDq+0eBgNGnbEE++kYOQmK04UxVcTAj8btrKware+em41WWbTUXpOAkeFCSeErNb0eDzYtm0bhg8fgeeef14XwtAZ5qWuXTF8xAisWrUK2VnZeqZgTVIQLNM3EGcNNl1mx6f7/dq+iMN4jc+5QthYCWEL3NZxPAYsy4EzWISK8hjCEVaU6Ud23MFJ3cvzwioqVNHINJOeTjFIRYWcbmCcJvsSlHqOI2fjRMwf2Bkvt3ocjzzWC11GrsfSU2HYY18Tw7IAii07cWzlSIzv3REdW7bDo6+Mw8CVeeq+U1GWeokRPituAu1hzsQLo1O6CzfMseCO+VYM2O1VD1uDW9+dK4SNlBBe2QoPvbkQc/LsyHZn4tDqEZjYqw06NWmKhk/0QqehK7Eg043CONIPfj4RpYZbrFE8rz6fuouteHObB6vyi2EvLjdOT2c1kjBCeLaPb9u27Zg2bTp69+6tTbCbKhFs3+EZPTdw3vz5yMzM1ALIys6ajMr4LKU7A8+fGi21oav6kQs/fqyLviaEdVsqIWT7hAleQxf5/DAodkc9JeB5bQMVDf5BRSTcrMw7GdLVioahNIgi014cX/MlUgb1QK8XuqFzz0/w/pRVmJ+xH7szT+DYiRM4kZWJo3vSsWXpRMwa2Q/9e/XGK31GY/D8/dhsKYX6Vg1DtLxCT1p5d6cX9RZXTp5nenRtAduJDL4+viKEVe0T7CPM9yK3IojC/AzsmtkPn3VpgccfbomH236AntP2YJNVbYDjTEBsarMy4qBfF/ixgpSV7tzIJ6LjTFwLIdsVWAjD3r3Dhw9jwcKF2ge0TZu2aNKsqbY6Yz/grFmzsW37duTl5+tG9+oshvk2KIK8iT5TNw4fsvRL/Pywv/ZnDV4QYcR8u3Bo+RCMeKExmv/LWcYCfzzlQb8DboLo6EObNZ6BXDHDhD9PLdD9a5xZGFU7YmN8UuV6On3AfBhZmxZgxaSh+Oz9d9D3nQ/Rf/AIDPt8vPa4/Xzkpxg26AMM/OAD9B84DB+PXYCpKw9gR44fhVEVLBrktuOXYSkqVRuQgDaVYEHGQ0us+CIzULUBMfj6KCtG6NQWHJnUDe+dK4QFQeSprz1WXADn/rlY9/mr6PN0EzR+pA0adZ+AIStycNwXX0cINKFIV5v5Hls9aLHCgS5qM7/wdBg2Os4Y/GO6UOJWCBnRMQV69OhR7fwyevRovP7GG7ohvvWTT+KlbpVpUPYKnjx5Cj6fD6WlpVo8axL+6+5IuYoGi3W7BA+be2wpVL8OG8sq6nuhxdoOHEwbhM86NULTe5ujTvvxGLjcBF+C7Aj5WdBRY9rxIBqqqP1/J+ajrvq8Jqtf5wcNlCI9U46KWABhRxYK9q1BxqLJmDpqCD4b0Afv9ngRXTu2Q5vHW+GJ1s/imVc+QJ/RCzFtQxb2FYTgixnrfIrtEiy86Kk2H3fMZ0rUgm6bCrHRUhwf509l4cqIkF6jj9TBVZc/hnqvzcLM3ECVxVoEpa6DyEkfh5nvtseLLRrivsYv4akPlmDGPhfywmy6r/ynjA6/TFOosseT/c884hmyz6/bXYxrBPLjiDshpACyEMZkMmPzli2YOHGiToO279ABj7dqhU6dO+OjQYOwODUVhzMzdbQYi126vBAzO0wfcMglo0FWio4/ohYJraLiREDOlJeiosQJX8EabJn9Nj54qi7q1XkI1zz6CfqkZCLXE9bpLT644v28gGchjArf2+XRk9D/Nt2EVzerjYu5GC61oTHOt6e+EhWNlATscJuOI3vXKmTMGowv+rTB803vx/11bsNtd7dAk84foc/ULVie5Yd6XhmO09rdpzLddvNcC1qvcmDiMbYTGcuS75tU4EyFWsMhJ2z7l2PLsPZ47d6r8effN8DtncZhzD4TDoRKQK/58pgHoZwtODD/Q4x5pQVa3F8fd7bshU5j0jFnrw0n7T54i6IoVg8LFmcZeQmxenerLarbKdh7S2PuqWqjyMreRCKuhJDngE6nA3v37sPs2XMwYOBAbYfWpm1bXQn6Zp+3MGnyFG2b9kNs0aqbUhVtcvL87BNFWgAZDfbd4dHTxINspo0H0ThTgYpiH8LOwzi5cxoWDO+ClxvfjluvuQdX1u+BTkOXY92hfOT7aX9VAW4M41kL+SByFZdjeX5Yf2a/m1zZy/bZQT+OeksM6EPKr6cc5WEbvMfWYvusgfjsjafwTMO6ePD+xmjU/m28PHIFZu+xIidYYSgXk1L1UF2t3ufn1jtxy1yzdvfhOSEjDLr+GBf1nldEURpxw51/EAdWTMCsN5uj/c1/xWW/uRP/fLw/3l60A2knXMjxlaIoVoqyoBmeI0uQ8WUP9H3iftS762Hc3bY/XvpsMVLW7sH2LAtyC8MIRI1ffGIuKsP0LM4sLEQrFRWyBYwONPFzzPP9GF4ImcqkAAaDIT35IT09HcOHD9eRX4uWj+LRxx7Xs/848YEDdBkpFn1tBuClgPs6Tj3nOeB7anH/c7ZFNwkvPF0Es9rtGmvW4HkoL0GZz4TC7A3YtWwEJnzQCZ2b18f9tz+E2xq8hGf6TcLk1XuxM8+jFwjHxMX7cqCDCUvD++3y4qqZJvx1WgGeXe/C6oJi3etmTNTXFfEikL8bB1eOxYyBL6FHh1Z46qkuaNdjJAbN3oZ09WC2BiMoKo4iGivThgGcxFFbONT9wuKLuxdacO0sk061sZmeFaTGvocY5gUR8Z1G/qG1SJ8xBCNebok299yEOv+si3ta9cQrX6RiyuZs7C0IoZCVlUo4yzncekcKUj98Bt0a3Yd767dCw+fexVtjFmDa+kzsPO2FI8hnQ9X/xqDwvJymIIP2+vG42iwyTapNQdTXbpTTg4vF8ELIwhbO+tu4MQOffTYcnV94AU2bNdPWaJ06v4DBg4dg6bJlyMrKqtGewO/j7MOUC5tuDDfOsWjPvixfpWlt3HQSVaibO1QIv/kITu5dg41LUzBzwhcYPXwsRn6RgmmLNyJ9/ykctwf1/Di2TyTCWuC8Owpfu7VOXD6jAHctsOrzEA5RNswsvG8lhlLPCZgOrED6nNEYP+QDvN/vQ/QfMg6jU5ZjcfpObD2Yjcx8D6z+EkRq6XuhneDKvDDarnHgHykm1F/CmZBenZY2vqmzes/Kw4iFbHDmHkTm1hVYPftLTBk1DCOGjcLoyfMwe+1ubDpixikno7yzphLFiLhPoWBHKtZMHo7Rw0Zg2Fi1nlZsxfqDeciyheBTohkPYuJW39Oi02F0UVFh8+V2vLa5ssqXZ76JgGGFkNWgNMc+evQYFi5chDd798GDDz2MW269DQ0bNcY7/d7FkiVL/2WL9nWj60sNvfiYAn11s1unRGmsPfdUkUFnDZ4PtSqZHi1XO9WSGGLRCCLFxSgOq6tY/Tyqfq+kDKXl6jV8adXfincYKVHYp6qNzAOpNu10wg0Nz69YOGNsKnCmvBhRXx4sRzZhZ9oMzBk/GqNGjMOYSXMxe9U2rD1kQrYjgpDaudTGZ5bpKcGb29y4VongdbPNep2woMxr2Ij766itLIuWykpRWqIi7IgSueKwnk1arDbgkZja8JaWo0xH3VV/hXAtlcVQElGvLSpCEdeRWkPRUq6h+Dljp1gfLozpiRSMCDkuiy5AOWpzlQgYUgg5IYIR3vz5C9Dnrb5o+ehjuPe++9GocRNdGTpp0iTsqBqPVNsCSFhdmK0iP5aEs0Cm7mIbxhwOaPeSuEmJChpGKBwI++dpBXpUE8dmcUK6IQ2gv4H6GqMeBG0nkJO5D3t37sauvYdwKDsfJ6w+uILqYV0LeThuMjh5/mG1Nv5nYp6eLjHykF8PS46Lt1XQcNOytqBysDjP0duvdeoz36J4KYM9D4YSQvb4nT6dg3Xr1mPEiBHo3PkF1H/wYdSt94AuiBk5ajR27doFj9utWyGMgiNcjqW5Ye2gzwIAni/tsEdRplZ5TbdrCNULe9m4iaG11DU8x1pl1+0VrGo02hy/b0fdb1X33blXOSN4tSnjf5cSVuXyeKA/z19VlH2luliVu0o9QDmVRYgfeP9zZNYUtR6eWOnQm3569NIqL94xhBDyHNBud2Djxo0YPXoMunV7Ga1atcJjjz2uxLALhg79FMuXL1dRYrbuB7zU1aDngy0RbJdgmoCl4I8ud+jdLgtJhPiDBSX8PDmzkFPsb5tnxosbXHqocvyk8b6DWtiT5asNxNjMgPZ05Yil5ml2zDsRQl6wVKcGhfiCRz0cGsD10WSZHU+sciIlOxT3hty1KoQUNI5H2r17j54G37fvO+jQ4RklgE9ok2z+mmOTOD6JAkjBNFKExXVsUYK34FRYlxazSpSefFtsiVVanGyw1WX+ySK9yOl8Uk89xIeojc4JFdkIPwyeCLDIaIstqjMkv1Ei+PcUE97Z7kFmXDksCefCzctpf6kezUQf0rsWVk6nOOYp0Z+pgR7PF8QlF0IKGdsh3G43jh8/jiVLlmDgwI/w3HOd0Kr1k+jY8Vm8/XZfTJo8GRkZm/QgXXqDGkkAz8ICGYreR3t9OlXQdo0T07JC2k9Ulnn8wjMtlotz18vCmTpzzOisFj1NugMJUiVX09CP8qSvFBOOBnH3AqsWQk6XmKOiQbvaPMrReXzCj41rgG1izILRK7blcjtmqudebqAsbqdTXFIhLFMRHUUtOzsba9aswedffIE3evTQtmhPP90G3bu/gk8/HYZly5bh6LGj8Hor06BGFEHCYZWTjgX1BINWqx3qwenBdntUFnkCwJmFjAoZ6d8616LHaHG4Mivn5OM9P3x/tElBblg7kXDg7j9nmTFkrxeH1PuXKCX3yQoLx1xqfSw6XaSjfWZMXt3kxjpTsc6mGPRxfV4uiRAypVkUDsNisWDX7t2YPn2GnhLfWkWATZo1wzPPdNQuMQsXLsS+fftgt9t15aiRiZSe0e4KrCp8VFsPuXSunKlSIf6ho0yWN6bPe1nteL16kLdQO9/ZKqJJNJ/F6obRIAsoBu31aS/RX0/K1xmTdFNYZ1Gkkjr+4Wd8yB3TBgkPq00iq0hpnZcfLNN/Fm/UuBCWqojO6XJh3/79mL9gAT4ePFjboj3xRCtdEPPKq69i/PjxejoEBZD9g0aHZ4Ms/R53JKgbsCvNaH04oM8+5CGZKFDw1hSE0TXDhVtUVHjjHLMuHedDXj7mb4drwxwq00OO26q1Qe/WOuq9+0StDzqRCIkBP+fCSKWB+vMqKuQoLU5uSTdHtFMQ/zyeqBEhZCqT7Q1sNjWbzdiYkYERI0cqAeyCJk2bolHjxro1ghMjNm3ejIKCAh0xGjUF+nW4q12eV4zum9w6GuyqbgAufG8tNSsLNQPLxbO9Jdo0nZsdNoPTLHqmivytarEL34TnR1vUw/GD3ZVVt9eoSLpbhlv/XrxXFgpfhWLnKC7H8AN+PbWl6TKb9uhl1XW4NL6ehDUWEXLqw6ZNm3U/ICNACmDjJk30lIgBAwZg6dJKVxgWzsQbtFJj/0zDpXZdIDP6UEAPea1NH0eh+uHHyTMPmkKzcOaG2WZcNrUAz6kd8C6HsVP3tYUtXIbJx4K6TeKPU/J12wQLKbzRiriLEoTvh8UxW61RvL7FjfsWWvXzkFX0xveP/SrVKoQ8C+SIpNOnTyM1NRW93uyNhx95BLffcQceadhQ/fpNzJ8/X/85U6DxEgGeCw/6V+XTk9KFeoutOlW2wVwMH003hYSEi3pGVhEaL7PjZxPytaE6ZxZyYoIcd/0ffCjucka1ldr1s0z4y9R8dEp3Yp+KEITEhPc/568uOFWksyUUw4/3+rRDU1EcRYXVJoSRSFRFeEoAlyxB33f64fEnWuGB+g+ixaOP4tXXXsO48eNVhLhJp0opmPEKqwbf3+VFwyU23UDPqlFGiBINJi48/Gc7BRc4Z+ixMZw2bGwspj+pUGlEcNxbglGHAvqByDQyy+pnZYfgiXcjAuG88MnHz77XNo8ODjqtd2k3JlbVx8tz8aKFkLZoTHHSFm3UqNHo1KmzNseu/+BDeKbjsxg5apQej2S1WvV0CCN4g/4Y+HGyQXi6+oCZ9mmqooMPd3uxxRpFMAG89oTvhouZ7QAbzCwMKMQfpuTrMULvq8//qCcmUaGCI8hYTt9+LQsnLHp6x6A9PpzyJc6oHuG7oeMMhww8o0SQz0c22bOdIhAnmbIfJYRMabK9geK2efNmjBs3Hq+++hpatWqN5s1b6EKYTz4ZqqdDHDx4UJtjx+NZ4LmElAiyiZQf8N0LLOicXojU02FdLiwVhIkPrfTYIM7RTHXmmvE/k/Lw6EoHVuSH4S9J7iIpfu80nWflNA3nb5xtQatVTt2HGS8PQuHiYEsM6yQ+UeuDk+zbrHZqa73j6veYLTA6FyyErAalANIWbc7sOfjwwwE6CmQqlI3xPAdknyCnyDscTl05Gs+pUMLonmE+R/K0WGHXzdWD1Ad+2F0iPWXJgroHWPDB8+HOG1z449R8PU5o0F4vDhRGk/o+YHqYZ0TPrFPR4FwLGiy1YaCKBrlxjI+pHUJ1wDWQlhvGSxsKdVq8pwoaluaEdTbF6PxgIaQAMg1KVxhGekOGfIKuL3XV4kd/0F69emPsuHFYn56ui2E4UT5e06DnwmXMUuA1BcXolO7Sh8F0y1isPmBaqUlzcPJArTOFOHw5qCKfShNpts9MPR7S58TJmBlg2ninI6rPh+5Wa+O2eRa8srlQDzn2xmSTmExwz0PPUbZTcEQTK0iZJajcEFW9yKB8rxAymgtUjUfilPgJE75E795vaU/QNm3aomu3bhg06GMsXpyKzCNH4A8EDDUd4mIJq6fbaX8ZRh4KaBF8KNWOsUeCOg0gxsHJByOcQyoC7K4e9mwWv2GOWe18abQeTco0ICdyTD0eRKM0O65XEXKTNBs+5yxOXShR9SIhaWDWZHVBGG/t8OjeWzpuLTxVpCtLjXw7fKsQ8gyQAsjiFqfLiYOHDmHOnLl46+238eSTT6F5i0d1FPjue/0xa/Zs7NmzFzabHdE4cIW5ELiLsYTLsDK/GC+pKPAmtdCfXefSfqJMA8hCT07ckcpeOc4svGKGCS1UVDg9K4RT/hJtzZYscMjvAbZLbHXjprlm3D7fomcNMnsiRwbJCU0oOGKL64NRIY3WB+zxYq8rpgeYG5VvFcKz0yEOH87E4tRUDPr4Yzz3/PNo2qw5Hn3sMV0Y88UXX+jpEPQPTaQI8FyYEmUPFD0TGy2z6Qb6UYf8umlYSF6YCWC6592dHm0fRhF4fUuhLpxxJ1GrgDVUinGZAX1mfk2KCU+uYpo4qDcEMmsweSlW64PWaxxC8Li6JyiIHObrLDbuc/MbQkhRczpdehI8q0FZAXrvfffjnnvvQ3sVBY4cOUoLYF5ePkKhxDgH/DZ49mFVgrc4p0jnuu9bZEXvbV5st0V1G4WQvPAshGJIH9JHl9vx56n5uF/dH+wzTCaHoW22CJ5e7dQjlrgZeG+XR20QooipsEBkMHnh7c/UOK0IWU9B0/oeW91682jUG+MrQsiUKCNBCt0nQ4eiTdu2aNDgET0o9513+mHBgoXIzj6BaCRS9TcSF/qJbrNH8dFer/bRa64eeGyX8GmrKFnmArSJNHtJb1EiwIio4zqXrpLjeUgiZ0hjKtqzF5fjcxUN3jDbgt8qIWyjNovzTxWJwYCgYbBAz9FPD/jRYKldPT8delYrXZqMyDeE0GQyY+HCRejdpw86PPMMevTsiXnz5iMnJ1fbpyVqBHgufIid9FcOFX1mvRMPqR3NOzs9MqFc+ArcLK3OL8YLatdbZ55Fnxl+sNuH3Y6ooc9DLpbCaDmW5RXjaSV+nDXIbMmYwwEcLizRtnOCQNxqs8R2Cs705Np4caMbawsihkybfyM16vF4dA8gvULnzZunosMMJY6muO8FvBDokrDOFFHhvAeN0+x4Xokhp0vIdHLhXLhhMoXKMEqJACfZX1s1s5D2Up4Ejoy4IeTG8G/TC3Q0yOGsnM1JK7UkqhUSvgeaUGS6Y3qT9NhKh86s0ZDCZsAxTd8QQhbK+Hw+OBwOFBYW6oZ4I0+Jr25oHHzEU6JLwHn+0UKF9MMO+PT8QemWEL4OXTNoJdVlg0sXzvDqucWjo8JEa6/h2mBz9NKcIjRcasPPxufpUUscXpwTZB+lLBDh/+DtwPtlkzWqg4pb1dpg4cx6FWSwqMxId8s3hJCpz7KyUi2IiVoNej44X2vh6SI9VoR9MC9vqqwGlFlqwnfBZvovjwbwpNo40ZS7WZpD74LpRpRIsGdwkzWCt7d7cNUMk+6jpOXgVltEe40KwtfheXJesEytj6Cus+AxE12HaGJvpOODbwhhMsPdPdslPtrr0w81WkaNVg+0LJ9M1ha+m0hZBXbYI3hvpxf3LrTi5jkWPbNwXUFxwkRJfGZR8McdCaDhMjv+d1I+Hki1Y+7JIrXrL9PRoiB8G6HSynaKvjs8qLfIqgOMWdlFcITLDXPfiBBWwY+DFU2z1cLuvKFQW2dxGOsGS7EuihCE80HjhZnZQTylNlDXzzLjHiWIIw/61WIvi/tzM375rJbmw+y1LW5cm2LWRgKvbvHgAO2zRASF88ATAnOoVLeiPaFE8PZ5Vv1s3eOI6SyDEU7dRAirYJjOHsH3dnm1cz5L4accC2mXBFnmwvdBK74d9ig+3OPDA4vZYG5WUSHPQ8JxP7SZ8xiPuGM6GmySZseVSgRZDj/7hNrVF0tKVPh+eA9xZiGjwrvUJpHtNtOPh3ThlRGmU4gQVsFD3YlH1Y5+jUMLYX8liNwBS/O88ENgE70zUq6nU3TLqIyabpxjRr+dHhxWIhLPsGeQ0yWeT3dpgb9lrgVD9/thCpbFxYgdwRiw6n6euo/YdsMme3r0bjAXw6eiwtpGhFBBf8hdjihe3ezWh7kvZxTq5mBOGkgWlxDh4uGWiY4anx8OqqjQil9Pytf3EwfWckccj6kFtgUeKizRBQ5M97JlorXaKLJdQhAuBJ6XMwJklfEjal00S7NjwpEAsjwlutWiNhEhVOQGSzFWfSDNljvQeJkdnx3w44gnJn6JwgXD0UOVJu1u/HlaAa6aaVIi4sVpfwkicZZd4N3vDJdrR6Xn0wu1i8zdC6xaFGk4IQgXCotjdtgiupjsfrWx6rHFg2W5YV2fUZtHzSKECrrld1jn1Gc7L2e4sSwvucyTheqD2YWcQBlmnSjS6Z9ffJmn7ys22ZuL4qsdibq9zRZF721u3S/IMUucwpKhokGZLiH8WFhANuJgAE1VRPj4Sqf26KUdW21WkCa1ENIzlDsRnnfcpXa6j61wYOLRgG6oZ0m8IPwYeG6W5S3BWzvcuGxqPn75ZT6eTXdhqxKVSJwYUvNEgGeD444E8dBSK/6uItv6qVbdD0YHGUH4sVROp4iiF527ltn12TOPohzFtVdhnbRCyPebY0FW5BfrfsE751vRc6tbO+pzocvRoHAx0Hh7zokQmi2349cT83HPIismHgvqJns+CIwOI74MSzFe2+zGrfMtevo8TSZYQCYOMsLFwGerU22yOMOz7RqXDkAG7PHpZ2+wlo4PklYIuWvf44zi7e1e1FtsQysVonOYJL0jS0UFhYuEsyyPuEvwyX6/rh79y/QCnVZckRfWDehGr5w57S/V1oKPLLVrt5z2arPIsTpM78rqEC4WZuN2OWJV7WoOPKeiwvFHA9q0oTZISiHkOQ5dDWarHXsTFZrfp3a7A3b79OR5aZ4XqgNO6ua9RF/FJ1c58Ycp+dp1ZvBeLzILY3q6u1FhxLe6IKx9If8526LWR+VUjT2uGKJyZCBUExa1qZpzskjbWD6mxLDnNg/SzcW1kjFJOiHkW8zU504lerTEunWeRbvILNWVS7SKqnydIFwsvNfoszh4nw+3zDPrClKKS+rpIv0QMGJRMgsWaCIxdL9Pp0NZKdphrUtbqfHMUBCqC5qY0NJy6AG/bslpo+6zsZkBnY241Gsj6YSQKdFsX4lunud0CU4Wp90P/UQZKRrw2STEMWG1u82wFuPFjS5cN9usxMWioqtKswYjZh94tknT+dZqh86xUo2W2jH8YAAHC0u0gbIgVCcudb+lqiCk+yY3HlvpxCvqx+V5l97WMqmEkEd/nKDNsTm6eT7Vhk7phViSQxssCQWF6ofSwXtu6vEgHl5qw9WzTHhCiQynVbB/1WjQBafXNjeuUyJ44xwLXtvMdFVlAZkgVDfMQBx2l2DUoYAuWuTYu4/3+S95n2pSCSFzz5nqTR+bGdQ9LOzzYihuLpJZakLNwTuLzkUvqKjwHykm3DLPgjeV2HBiRYyHiQaAtz9bhtjc3ECtC06X4FRxPqA4i5PFDYJQE3ijFVivNlt9d3rxoLrnmIpfmRdGQAUnl+quSyoh5GRkpn1eUdEgK0U7bXDpApnKhKgsdKHm4PnzlGNBbStFH9Jmy2344jB3viWGOCsMlVZgr0tFg1vd+Os0E66aaUbv7cbxghQSF97/PEufmhXSPs/M1PXf6cFBV7TqFTVP0gghQ/B9zpjuV2m+woFHVzrwhYoGreoBJQg1DRc7I6tBe/y4Y74V180yoc1qh96YGWGoLR9Enx7w44bZZvx8Qh5aqjVyttVDkiVCTcO+1S22CN7d5dVC2GiZDdOzgpesSjkphJBpT12qe6IIz653ocFSu97tso9Q3POFSwWNt+nbycGk/5hpUoJowaC9PpwOlFS94tLDu59HBrRSa7fWpUXwr9NN6MsCMm8JKkQFhUsAU+8FoTJdr8HU6A1zzHh9SyGOeWJ6AlBNZ+aTQgiZa2Z/yrs7vXhMPYS44FOyQ3oopCBcKrgho6ciq0a56+Vi76g2Zmzd4T1aG7CEPctXok3nGan+ZnI+WqtIlZZXVjbPiw4Kl4ji0kprwsH7/LrnlrMvJx0LVp5R1/CGLCmEkH0pTINyp/HkaqduDmbxghQACJcaVl+uyGe5eCHqzLXgzgUW9N7m0f1UtQGtrhaqKJVr43eTC3DjbLOerH/KVyqzOIVLCh/HHHawRG0MO6W7cN8iK7psLMTagmKdOq3J5raEF8IitZjXmSJ4Y4sHLZbb9QOI5zIsXhCESw3nW3JmIauVGy+14+oUk07VT88OXfLeKfY4HiiM4X21Mbx1rlUJYT7aqo3iZmuxPjKQfaJwqeGZ4DEVFY47ElDrwoa6i62VlcuBEhTX4HlhQgshj/+Oekr0yA+auz61yoHhard7mIMg5WxQqCWCscpeVpq8MyK8ca5Z20sxKowocboUlCmVywmWaourNmucSpDN2lxi1CE/8g3Y3ygkB0yB+mMV2GGPahOKO+dbtAXb8ryw9rmtqeWR0ELIN5TTwWl2/MRKp4oK3UhTb6gnKikfofbgWSEbhqdlhfCUisCumWXGwyoqnHAkCFPw0mQqGH2yNaLvDo+eNchqUU6X2OGI6iyKINQWPA50FJdjzOHKmYWsYKZN4W5nrMbuzYQVQgZ82b5SfLjbqw9dWS3K2WoMu8U3WKhNuKnlmccetbDpvs8xR3+eatLOGlssEZ0+rWnoJzr+SOWD5srpJjy0xKanS/hUtFrDdQmC8L0wY8ce7z7bPNr4hIPTWcBlCtWMD2nCCqE7UoFUluKqh8sjS226YpSTteliIOtcMAKcgMLUJKNCFqrcPMeim+ytRaW61aKmCFZVUTMC5IilG2fTSs2Nfc5L18AsCOeDm0FaE85T66PVSod+hrPViG0+/ho4S09YIeR5y9s7vNouqt1aJ6YfD+k+FTkaFIwCWxc4kmn0Ib8eDK2LVdS9ykZ2imRN3Kql5cBh9f/8ZJ9PG2r/c7ZZnxHyCMEv7USCgWBm4qhHPce3e/RznJPsOdyabkzVnbVIOCHkG8ShqLTrYUjNyiPmlzkEsiarjgThQuGul/2D220RPL/epSfZXzGjAP12enDcU1IjVZtcG4uV6D212oHrUky6GIHrg5WskioRjAYLy3i/Pr/eqWfHMoux1lT90ykSTgh59nJARYN8wzgZnA3LHDLKWWrVvYsQhIuF9yTtzYbu9+vo7D/H5aL5cjvW5Fe/6TD/LU68GFI1a/BaJYRMO/HshetGEIwGN4M5/lJ8ptYHfXp5v7KIJstbqm0zq4uEE0K+aV+oN6qh2j3UXVwZDXL+INNQgmBEKHibrBE9i+2yKQX4+0wT+u/y6BLy6nScYfP8nJMhbSpxvRLdRkttGKYeMMdU9CmbRMGo8Lx8ZR5nehaieZpDrxPWf3gi1ZfKTxgh5ELmrnZNQTHarXHizgVWPXOQ4zx46CouMoJR4c6WjjNc3A2W2PGbSfm6OOBztaGrtJeqeuFFwNufwvpyhhs3zbHg1nkWPWmCA4LFQUYwMnxyc3A6I0FWVnNCBYcnHHTFqq2vMGGEsEiJIHe2Iw76cbcSQZ4PTj0e0hFiTVbgCUJ1wDs00x3TDkhXqYiQaVJWcm6yROCrhr5X/hvTs0JouNSuJ8/TZYnuHbmXqG9REC4G9oRvsNAv2oNHVzjwfHoh5p4o0v2G1RHjJIQQMtozh8q0dVqXDYW4fb4VL6ofdzuiWgQl7SPEA8xczMouQvPlDvwjxax7/MZlBnDEfXFOSBy4u1NFgxRWRoM8H3xrOyfPFyMgZ4NCHMDCMjoeTcsK6roPDk/ot9Orew2rwyUsIYSQQ0V3O6PaM5GVRXyT6NJB93xBiBdiatPGIgD2SzG1T9Hixm7hKbXzvQhvXDbP01rwPiWAdLFhiwZ30/z96iw4EISaJFR6Rs8s5PQWVj23We3El0eDcBZf/HM+7oWQC5mVcPNOhdB+nQsPLbHr5vm9zpg2FRaEeIK72zUFYTytFvo1M82ot9imz0P2u6IouUDR4i6aGZENlojuFbxsaoEW2AF7vDhUGFP/L4kGhfiBgR+jQjbZs2CmoXrW99ji/lfm72KIeyGkb+gGc0RbqbFStPUqpx7uyGo72ewK8UhOoASDVVRYd5FNR4VMBc07GYLtAqfFs2+WI8h4bs6RT3+aVqCtBtk8Xx27aEG41PCePlxYWQvSNM2BR5c78OWRIPICZRfVahTXQkjz4uPeEt0u0WGtU/eZfLDLqz1GBSFeCcTKsd5UrCs8Wd3JNiCe6W2zRy7oPMQVKccCJXpPrHTgD1MKcM8iq57LeaRq6rcgxCOcWbgirxjdVVTIAdfPry/U7RUX0yIX10LoVw8MtkuwTYIWPC9sKNRv0KWe6yYI1QmjPvb8jcsMot5iK66YYVIL3oqJR4Pw/WAbtDM44StB721ubd328wn52nd3i7VyuoRkS4R4hbMyOTyB54M0n7hNbRbZL+4oLvvRrUZxK4SMBjPdJRh5yK/dBpous+OzA34UBC8sfSQIRoS38GYlWi+rXe/Nc824dpYJr2wqxE4VFX5fNMdzc1u4VFtTPah2zP8xLhe3z7fg80w/TCFJiQrxDdslfLEK7NKV0IW4brYJ7dY6dBbF/SOb7ONWCCtdMsJ61uDjKxx4VT0wVuer8Fj8RIUEwVJUjtknivDMehdummvRo5KG7ffpSO98sDl/nblYz9/823QTrpxp0v1XB1xRsVITEgIGQraiMkw6GtBHYpxk33+XF3tZVPYjUqRxKYQ8J9nrjOK9XT59WPqcelDwwJSFAYKQKDDwo2/ugL0+fb73jxQT2qx2YJ0pUvWKb0KZY1sEzwIZDf5qYp4WUBbIBEvK9QRwQUgEmBlhfyzrQu5daNF9t7NOhHSr0YUegcelEFqKSjE9K4hn17nQUgnh++qN2GoTqygh8bDrmYUhPUqMJtl3zLdg2IEAbGqxfz35wZQRo8GNKhpkGvXaFDOuUX+n9zYPDhbGqhw4RAiFxIBHAMwMLs8N64Kw29Ta0E32tqjuJrgQ4k4IS8or9IDdPts9+myQBTKcrM1Zg7LEhUQjUnYG+1VUyPPvhkttuFqJW+vVTizOCcOlHgLnElbKyP7ZT9VrOX6MIth2jRNp6kFB1xpBSCT4vC8tP4MsXwneU8FQvVSbNotgEU2WtwQlF9BbGHdCaFc74bGZAbRa5dBNwkP2+XR4zEo4QUg0uJRZAJBujujqaE6NuHqWGT0Z5bm+OrOQUeKcEyG0Vw+D62aZcNcCi+634lkKz1QEIRFh4QwN6zulF+pe8tfVOllbUIzCC/AhjSshpLE23fKZ9qF5MIsBlqndLq3UZLqEkKhQxE4HyvBFZlBPpfjdlAJ97sc5gsEq4wgWCOxTkeOHe7y4f5FVC2G7dU6sMxVLFbWQ0DBFmhMo1dNa2E7x2AqH7i3ncUDxDwyQ4koIOVeQO9yW6huln+ioQwEc9VycIbEgxAPeaIUWNVpKcToFK0Hf2eHBYXdM74hpOj9bRYMdlfix3YJC+ekBH075z19hKgiJAMWQMz05s5BRIYMkDmGw/MAjs7gRQu6KOVuQZx6shuu51YOV+ewbkZSokPgw4jOHSrUBd2O10H/5ZT7uVZHf5ONBHPeWaptBLv4751twkxLC19TPOX9QjgyEZMFcVKZnFnJeIYtnPtrr090FP8SjNy6EkBFfQbAMn+yrnDXI88FZJ4r00NJSqQEQkogcFeGxX4puM7+elI/n0guRkl2kvUm5QbxulhlN0uyYkRWSnkEhqaDF2i5HFP12ePUos84bCjH3ZBGsYRUVfo8WxoUQsghg8emwLo6hnU6fbUwJlSBSKilRIbnggNKlOWE8tdqp/UNvmWfVfbRsKuYw37oqSuyrHgR05BeEZIO9snNPsN3IhZYqKmQ1KR2aOMLpfBhaCKnieqioWtSvb6HVVKW7Bmer0WzbEymHN1quf5RLroS/1L3Os0CK3KA9Pi18v55YoIf4/mmaCVfMNKH1KocuHz/qjulq02/9d+SSKwEvbhKpB2vyKw252ULEFOnow0GcDpzfbMXQQsgDULZLzFbhLS10mApi+odNkzOzQliSU4SluUVIVT/KJVeiX7zfF58OYcHJEN5Ta4Bp0H/7PBf/b2wu/u2LXPxmcr5212CadOGpkF4b/Dvf9m/JJVeiXeyX5f0+5rAfHde5dIP9zXPM6JpRiAxr5LzWa4YWQs6eYqXoyEMBbS/1b2Ny9OJnGohjl55f71IXf5RLruS4OqmrywYXWiy369Tov43M+df1k3G5uF4t/Me10YQLndJlfciVPFdnfb+79PT6exZa8aep+bhsSj4eX+XQFaT+ku8uKDG0ENIyjUI46VgIjZX40VXj/kU2vetlC8WjcsmVZBd7pJ5QC5sFMbfPt+IatSa4LvjjDXMsuG+RVa8PiiFbjL7t35BLrkS8Hlth1z+2UD/yCI0V1Oyp7b6pEMvzwvpo4bswtBCyWtReXIZttijGHQlgwB6fto8ariLEyos/l0uuZLoCGKGuzw4GMHifX5eIn70G7fNhqFof/DNZH3Il3XXw7M8DGKbWwSf7fbrvnMYTHNl3vlYiQwthxZnKklgegHKO2qlAqXYQ4MEnfy6XXMl6cQ2c7/q2vyOXXMlwnV0D1Iq8YJk2rmcr0flsBg0thIIgCIJQ04gQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEmNCKEgCIKQ1IgQCoIgCEkM8P8BvNI0TNgBP18AAAAASUVORK5CYII=)
A given ray of light suffers minimum deviation in an equilateral prism P Additional prisms Q and R of identical shape and of the same material as P are now added as shown in the figure The ray will now suffer
![](data:image/png;base64,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)
physics-General
maths-
In
sin ![A over 2 sin invisible function application B over 2 sin invisible function application C over 2 equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAjCAYAAACw76XYAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAs1JREFUeNrtmzFrVEEUhYclBAk2FiIhiBCWEKzsJIiIEEQkSBBEQhCRgIWVRUCsLMQmWIjYiCxiIUIQkRBsRGQREUGCpLAQUvgHgiwSFhHGc81ZfD528zZvn/vOuHPgFJksy8edmTtzZ2ad252uOW014Z/wV3gDXoFHBTnH4SX4E7xF3lvwvrLBLsA/4CHRDq4yaElZ4B6JcS7Cq/BxuMK2g5xApbLaCFuHX8Gzop1sXE9SbefatJWp6/BD1TT4AJ6DL8H3RRlvMohJPYZPi/BNcAmRzIRTTC+mAwRV1DJns6XAI3BNbA9xR3VPY6PuI9eMltbgSUHWL7CnvwvN4JY+c98gmQIXU2234atinBV2rGkYnobfM0Wq8DUVO3iSszatEyxNlHQUfp1qm2eZoiAbeA3FTn6bSH9pq5VSc1yDk7ootpO1TDOi1MFX4Ls7/P8pfEaI9x58OdVWY+erqNZm6StNo6yJ9+7wmYWMQdBvPU9stPbD53kwMizEeAjehG+4Pydbe+AZDoDpfpciMxmfGeNuthf5Apk3E0tJk5lmrIDv9QXHtsravcHv/gY/E8uKhcpHxqgocdktyxu3fcPiO8wI3+FvW083mHbr7u+DmEFjlJadkp3dZSr0DN4SNymOO+b6ADN2YspyX7Tlsu9G2wXwZKqtwpp8UBlLGSHdjh67KHiXUaf6Ljc5vkDWEBj7Oht7ldXZduJkB/MTBQdwkBhl03VSVvyviQcwBEZpdVqzlAIYAqO0FliqKAcwBEbZTZy9nHzp2r+YLDuAITD+cx1z2+eqDaYyO/Cfj5z/F2ed5UXrNupwFyVH5Ayf8/cpz3oAWShy9qimC0ORM6emmGLUFTlzyl4xfOAGQlmRM6fsIP8FfEo8cJEzp8YJVBUPXOTMKXt7bQf4I+KBi5w5Zb97skd9Q+KBi5w9aNVp/uYpchaoUC60I2eGfgEAezIL224S7wAAAOx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1pPkE8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtaT5zaW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1mcmFjPjxtaT5CPC9taT48bW4+MjwvbW4+PC9tZnJhYz48bWk+c2luPC9taT48bW8+JiN4MjA2MTs8L21vPjxtZnJhYz48bWk+QzwvbWk+PG1uPjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjwvbWF0aD7T9TtFAAAAAElFTkSuQmCC)
In
sin ![A over 2 sin invisible function application B over 2 sin invisible function application C over 2 equals](data:image/png;base64,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)
maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
physics-
An isosceles prism of angle 1200 has a refractive index of
Two parallel monochromatic rays enter the prism parallel to each other in air as shown the rays emerging from the opposite face
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAAFWCAYAAAAL7VPxAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADWuSURBVHhe7Z13cN3Xdef3z93Zmd2ZndndbLLJxrHjjGOnjJOs10kcJ7HlJhfJlijJlkRS7L2KRexF7F3sTWwgCfYCgOi9ER0EiN7L671XfPee+0CbsigJ7QH3PZzPzM+CgQfw936DD+659557zn8AwzBRgwVjmCjCgjFMFGHBGCaKsGAME0VYMIaJIiwYw0QRFoxhoggLxjBRhAVjmCjCgjFMFGHBGCaKsGAME0VYMIaJIiwYw0QRFoxhoggLxjBRhAVjmCjCgimO0RtGuc6HfI0H9WY/jJ4QguGBwa8yqsOCKU6lwYdVRWa8kabDpscWZHS7YfKGBr/KqA4LpjgF/V78MkWHP/q4G/92tx+Hqm1osgYQ4FEsJmDBFKdY68UbqTr8j7Nd+NqVHizINSKl2wOtOwRWTH1YMMUp0/swM9uAv0zowd9c68WryVrsE6NYqZiXOQPhwVcxqsKCKU6FEGxJvgk/eqDBT8T14/sazMk24nKTAx22AEIDPI6pDAumODSCrSwwYUaWQYr2Troeb6fpsfWxBWndbug9vOChMiyY4jwWoSAJtkzIdVCEhtvKLFiYa8LifKP4/1YRKnrhCfIopiosmOLQXGuFEGy5uK40OXG/3YWjNXYhmVGEigace+pAnzPICx6KwoIpDglGci3KM+JmqxM1Bh9yej3YUW7B1HQD3i80I63LDZufFzxUhAVTHCmYCA9pxLrZ5kSzJYB2W0COZOuKzXgnw4BNpRbUGv2D38GoBAumOM8LlihGsCYhmNUfQovVj6vNTrmE/+s0PS41OmQaFe8/qwULpjjPC3a9xYlGix/eUBgOIVm53ovdlRZMy9BjZaEJjzhUVA4WTHGeF+yaEKxBCOYTw1R4YAA6d1BKtbHUjCmPtPK/lBAcFF/jgUwNWDDFeZFg3lBEH78QrcMewDURKr6dphOhog4J4uNuZxCc5KEGLJjivEiw5/e9XMKkcr0P28ssci62QoSKSZ2RjHtO8ph4WDDFeZFg7ucEo4+0IlRM7XbL/TLKvN9ebsETow9OMR9jxyYWFkxxvkgwwidCxn4RFn7c4JCZ9zOzDHJBhJb0n4WTzMTAginOUAQjQmI+ViZeu/mxGe+kG+QeWbIIFelYCycETxwsmOIMVTDC6gsju9eDJXkmvC5CxX1VVlQZfHCIeRorNjGwYIozHMEIkux0vQNviVCRvoc2oOkENK04MuMPC6Y4wxWMoFHrWa4ife+DDq7jMVGwYIozEsFo6T6jxy2PuPwmTY+9lVYxP/PKzzPjCwumOCMRjOi0B3D2qR0L88QoVmASYaMdDWY/5yqOMyyY4oxUME8wjDK9FweqrZifa5B7ZHfbXSJU5FFsPGHBFGekghFmMe+iXMX1JWbMyjJgZ4UVJVrfkL+fGT0smOKMRjDaG6PN5guNDrxfGDm0ebLOjhZbYPAVTLRhwRRnNIIRDl9Y/AwvjtbaZImBZSJUTKJjLeLzTPRhwRRntILRoobOHUJ6TyRUpOpUu0SoSKuKlGLFRBcWTHFGKxjhFyK1WANy05lGsBmZBhkq9jqD8uusWfSII8HErwnl3D274oSxEIygKsBUMOdIjQ2vJGkxO9uIvH6PTKPigSx6xIdg4TDCLieCZhNCVisGPJ7BL8Q+YyUYQfOurB6PXOx4NVmHbeUWOT/jjPvoEReCDQQCCPT1wVNTDU9lBfwtTUI0ixzUYp2xFIw86nIEcaPViakZenz/Xj8O1lihc4lQkTPuo0J8jGDilyOg0cKZnQXLmRMwHdkP65WLcBfmwd/ZgXAMj2ilhgCWFVqwIM80asEIGq067EHsqrDgH2/1YUaWHjm9bhjcXJEqGsTNHCzkdMKVnQnd6uXo/vkP0f3KT6BZsQiWc6fhLi5CoL8PIbtNyjYQjJ2/2KXa50cw16gFI6jkQHq3GwtFqEgHNCkxuFDjFfMxNmysGTPBBmge5PUgZLMhaDEjJC/LuFxhhx0hMf9ypadCu3geOv7x79D6119Fx799G71vvw7t6hUwHjkA283rcBUWwN/agoBOF5mzmcV9KnaFxTUgnh+sZjxu1GBtShuWp/cgsck+JoLR3xYqt32z1YWZYgR7O12Ps/V2udLoHeXPZj7JmAkWdrngbWqAQ/yS224nwn7rBux3bo3L5XhwF/b7d2A+tB99v5mCtn/4K7R89U/Q+rUvoe1vv4b2b38TnT/4LnrffQu6DWthPn0Ctjvi/pIfwJGaLC+nQpdLXO60ZHjSU1CZcAeHDyVi1+Vc3K3sRaPBPWrBiGAY6LAFsafSKkexNUV0rMWFHiEeh4pjx5gJFjQa4EhLgWHHVmgWzYF20Vxoly4Yn2v5ImhXLEb/e2+j8/vfQetf/TlavvxHaPmzP4z89y/+BG00ov3Lt9D92s/RP38mtB+shG7rBnG/W2DYuVW5y7RrK8y7tuHJmnVIXPQBzu27iJT8ejRprGN27MQtQkIKFdcUmzAnh3IVLcjv98LCWR5jxpgK5kwVgn24BZqFs4Vg4loyf3yuZQuFZAvRN/036PzeP6P1619B85f+EM1/+gdSstZvfBkd//T36P7Fj9E34x1oli0QI9lq6LdujAgmfpFVu0y7t8G8ezuerCXB1uHc3gtIyatDU78QbAyr99Jmc0KTU87xFgjJzj91yOKlVD2YGT1jJlhIhIg+ESK6MtPgEOGXvO6J8G08LhEeOu7fhvHAXvS++Su0f/PraP7z/yPE+grav/U36PrpS2LUmgXjvl2wJlwU4eTtSFgowllXZjpc2RnKXe6cDHjEVXXzIQ5/dAc7L+fjXkUPGvWuMT04Sc3Uawx+7K2wYW62EZtKLLjT5hLiBXjlfgwYM8Fos5f2o2iTl+Zj43q5XXKD2ZmRLsPFru99Bx3fEeHgqz+FZt5MGEXYarueAE9lOYJaDUIOO8Ied2RFcfCij1W6BryR63GXFasy+7A0U4PrtMhhHvvjJmZvWB5roS4ti8RIRquKeX2RLA9mdIydYBPMgM8LZ06WXMToffdNaBbMhunIQRm2+uqeINjfJ35x3YOvjh1KrMDiUifmFdhwtc2NBmtgzAWjRY1eRxBXmhxy6Z5GsjODq4oBzvIYFfEhmBg9gzodXAV5sFy+APPZU3Jl0fe0DmGnc/BFsclYZnJ8HnR2rFLvxZ4qq8xTpBPQt1pd0Lu5WM5oiAvBaOM4ZDIh0N0Fv7gCWq0MAylkjXXGSzCCKk+l93iwpcwim0msKTLjsdY3+FVmJMSHYDT/k/OW+PtlGE/BKFTsEaEild2mw5nvpOtxss4h8xeZkRE3czC55BWHy17jKRhBaVRVRh+O1NowN8eA+eLfvSFCRTruwgyf+BEsThlvwQiDJ4TcXo/s0vJaihZri814YvLDJ/7d+PsTFl1YMMWZCMGCIlakVcWbrU7MzjKI+RiFinbZH5oXFYcHC6Y4EyEYQZvZ1QYfjtfaMVXMxaZn6GUnTSoFxxvQQ4cFU5yJEowWPIwiVCzq92F1kRk/ua/FhhIzKvQ+eTJ6gC0bEiyY4kyUYASlUVFFqstNDrw7OIrRBrTMVaR0fOYLYcEUZyIFI6jtUY3Rh8M1VikZ3QeV4O53caP1ocCCKc5EC0bQfKxc78XyAqOsSLWrkkpwe2UOI4WSzGfDgimOCoIRlPhLoeL0TD1mZxtwok6EioNL98xnw4IpjiqCUTRINe0/qrXj1yJUXCDu554IFbVUkYr5TFgwxVFFMIIWPag4zvJCE34jJKMS3HSsxTaGB0DjDRZMcVQSjKAR62qzE0vFPVEaFVUKrjX6eAP6M2DBFEc1wWgUazAHcFSEijQXoza1N8R99bu4ruKLYMEURzXBCKoJQiW4N5aaMVdItqXUggzx/zlU/DQsmOKoKFh4YED2gE4U97OumCQzYn+1DXVmP4eKvwcLpjgqCkZQD+hqMfc6VWfHvByjnJPdanVCI0JF5newYIqjqmAEnYDO6vViW5lVSrZJhIzZvR55poyJwIIpjsqC0bEWaiRxu9WFD0SoSLmKB0Wo2GYLUJkURsCCKY7KghE0WjWIuRedF/tNml6egqYS3DoRKnLGPQumPKoLRtj9IeT2ebHpsQVvPNJheYEJOSJUpCX9yQ4LpjixIFhIjFR9riBSutyYlWXA9+7240C1FX3O0KSXjAVTnFgQjCCRqPrUATEH+/EDDWYK0ShXkTagJ3MhDxZMcWJFMMIl7qtAEwkVf5mslaEidWuhjenJ6hgLpjixJBhtMlPNjrRujzzW8kqyDqfqqZ6+f0wbVsQSLJjixJJgz6CWSBQqvpmql7mKVMiUMj8mY5YHC6Y4sSgY3V+xxoetZRZMzTDIYjm0AU0b05PNMRZMcWJRMLo7sycs+4wtzDXJvbHTdTZUGnyTrkIwC6Y4sSgYQXvMDZYADtfYMV8IRj2gE5odaLdNrlCRBVOcWBWMoOMreX1efChCxXlCMgoZM3rcIlScPKuKLJjixLJgNIpRfzE6kLk0zyjfw7EndlSJUNE9SUJFFkxxYlkwgiSj6lNHa21YLCRbkm/ExUYHehyx37ttKLBgihPrghEOESpSsZyd5Ra8m0GN/UzI6Zscx1pYMMWJB8EIrTsoW9IuFSPYjEwD9ldZUSdGtniHBVOceBGMSnA/NQdwtt4u38t0IdnHDQ5YffF9ApoFU5x4EYyw+wdQqvVid4VVHmtZWWhCkQgdHf74lYwFU5x4EozuWusO4X67CysKTLKx304hW52JemvH5nv6IlgwxYknwYjICegArjQ68Z4IE98SkiU0OWSSMJ0rizdYMMWJN8Fo98viC6NCvK8tj6kHtE7W88jt88iGf/EGC6Y48SYYQalSendQ5iouzROhYroeuyutsg+Zl74YRwMZC6Y48SgY4QuFZbeWCw0O/CZNh2kZetxodaLbEYirlkgsmOLEq2CET4xWlDa1qtCMXyVrZa5iVq9Htq2Nl4RgFkxx4lkwwuIL4W67G4vE+6MWtfuqKFQU7zEQH++RBVOceBcsFB6QhXHOi1CRTkDPyTLgpggVO0T4SIVNYx0WTHHiXTCCVucr9H65mvhOml6W4H7U5YYpDlYVWTDFmQyCEbR0n9Thlu91qggV91RahXQ+OU+LZVgwxZksgtE76nUEZbeW9zL1WJxvxOVGh6xzH8vFS1kwxZksghEkEuUmflhuxTzxftcWm2SdeyqWE6uwYIozmQSjd0VL9EmdbqwX8zCqDry70hLToSILpjiTSTCCKgnQezzX4JAnoKk6MG1Gt9mCg6+ILVgwxZlsghFWfxgF/V55KJP2x1YVmuSo5ojBOh4smOJMRsGCA7Q3FkRyl0s2WqesewoVa02xFyqyYIozGQUjaMGj2SpCxaeRHtDzxfu/3ORAtyO2QkUWTHEmq2AEnXQu1nplnXvqnkmSZfV4EKRRLEYeAQumOJNZsLAIFamuIiUAL8wz4acPtdhXaUOzJQBPjOQqsmCKM5kFI2g+1inCQuoBTSUG6OzY2acO9DhjY2+MBVOcyS4YQY39agw+7K+04qV7GkxNNyCnzwunGMVUT/JgwRSHBaNQEfL4Sq4IFelIy4+FZIfFvKza4Fd+6Z4FUxwW7HdQY7/T9XYp2cxMA86JULHdrvaxFhZMcViw3+EJhdEo3j8dynz9kU6WfkvvccuqwbQgoiIsmOKwYJ+Eyr6ldrmxVDyTWVkGHK6xyQRhq6LFS1kwxWHBPk2nPYjzIjykZ7IkzyhLcNPI5lcwy4MFUxwW7NPQKFZt9GNPpU1m3G8stSCpw4V+MUdTzTEWTHFYsBdjEyHh/XY33i80yYTg/VUiVOz3wu5Xa1WRBVMcFuyzabNGQsUleSbMzzHKzi10Alqlp8OCKQ4L9tlQgdJyvU92a5meoZeN/ZI61ToBzYIpDgv2+Rg8ITxod2FtsRlzsiON1ku0XmUyPFgwxWHBPh/aZKaw8EqzEwvzjDJX8eQTO7SuoCwHN9GwYIrDgn0x1DCCSnDvq7LJLA9qKJHc6YbVN/ELHiyY4rBgQ0MvQkUqVrq51IJfp+rxQZEZtYaJ7wHNgikOCzY0aJOZ8hKp0fqsLCOmpOhksRyNK4TQBA5kLJjisGBDhzLrq8SoRaHi1Aw9luQbcbfdCYN74lYVWTDFYcGGDq0c6kSomNHjwYYSM15N1mJNsQkVei/cQr6JWFlkwRSHBRseVHWqzxlEYosLb6TqMEVcFxvtaJmg58aCKQ4LNnyCYs5FPcaoB/QbqXqZTkVpVVQKbrzPjrFgisOCjQxaoqfG6u8XmWT3zG1lkW4tdn9oXFOpWDDFYcFGBh3AtPlCuNrswFsiTJyRaZDdWhrN/kij9XGCBVMcFmx01Jl82FlhlauKNJrda3fJpfvxggVTHBZsdDgDkTr3NA97K8OI3TVOlBhCcI7T3hgLpjgs2Oix+AdwscmJWVk6LMrsw+kqHer0TvjHYQeaBVMcFmz00NMq17qxPbMJ75zPxvwLmbhe0git3R15QRRhwRSHBRs9Hq8XJTX12HjqKn68aj9eWncC627kI7/LAleUe0mwYIrDgo0On8+Hp/X1OH32HN5bvBI/nLMKL31wHDMuF+FYpQH11ugu27NgisOCjZxgMIimpiacP38eK1eswNwFi7Bo827MO3EPM249wfI8HW53eGD0RE8yFkxxWLCRQSNXd3c3rlxJwKJFi7Fw4UJ8dOQI7qSkI6G4CRvz+jA724Dt5VYUajxytTEasGCKw4INn4GBAfT29uL27TtYsfJ9zJw5C7t370FRQQF6+zVoMriR0OTE+0VmzM0x4KNaK1qs0Tk7xoIpDgs2PMLhMFwuF/Lz87Fk6TL86vUp2Lb9Q2RmZsNoMMive8VgVW0M4GSdQ56AppEsZbAH9FiXGWDBFIcFGx4kV2NjI06eOolfvPIqpk1/D6mpaTAIuWhO9gyzsCy314vVRSZMeaSTxXJKdV54KFN4DGHBFIcFGzqhUEiGhjdv3cLy5csxdeo0fPTRUXR1dYmR65PPjDzqtAdkriI929dStNhfbUW3IyC+OnbPlwVTHBZs6Hg8HlRXV2Pd+vV47fXX5byrvv4pfL4Xz6+oBHeLNYBjtTb8+51+mRRM3VrMvtCYHc5kwRSHBRsaNLfSaDR4lJKCGTNnYsobbyI5OeVTI9fvQwc08/s8mJttxMsPNdgiQsVCTaR75ljAgikOCzY0HA4HKisrcfbsWcyZNw+r16xFTU3N4Fc/n35nCHfaXLKRBJUZ+KjWjg57UMg3+IJRwIIpjpqChTEQCsDn9cHr9SMQfMFG7YAPIZcRFr0GWp0JBpsXLv/AZ8xuvAiK15p0WmgNVphdQXhfmMIkvt/ngs/lhNPzSQG0Wg0ePHiArVu3YuWqVbh48RL6+voGv/r5BMTPoTID1GvsZ2IUW5hLJbjd6HWMPlRkwRRHLcHEL3jIg6BTA11PGxobO9DcoRfyiM8NvkLKF/TAZ2xDT00OitOTRKiWhbTCOlS06KCx+0D1QCPvQPxv0I2AqR2ahlJUFheioLQWVc1adBs8UsjImp54XcgPv5DQ3NOMjqZGNLX3i9c44BYhXkBY0NrahrPnzmHxkiXYIiQrLCyE0+mU3z0UfKEwckSoSEVy3ss0YLsIFXN6PbCImx3N02bBFEcpwcSoFDS3QVObiuwHibiUmIZbWU9R32uHL/ICIYIFfmMDWoqSkHLpOM4f2o3d23di+97TOHo1E0mVPWgx+cUIRZbZ4TW2oLkoE7kP7yMtLRVJqRlIzShGUVUbWnRuiLeLgN8rfmaHkLAE5UXZyMjMQGZ2HgrKG9DQ50CvyYvHlbXYu28f3psxAwcOHhxcORzekrtGjJw3W53yWc/KNsh+0HXiXl2jeN4smOIoJVjYA393CRoe7sfJHeuwbONJbDtfiNxGMzzyBWIcc7bB1pCMzOuncXzffhzcuRlbVi7A4jnzMH/VXmy6kI97tSboHG7A1QhtzV3cOP0xjp++j6TcAuSki/8mXMatu2lIruxGncELq1WEj3V5qEy+hnsPHuJmshgV71/HnYfpSCrsQNETLZIzCuTINX36dJwR8zCakw0XKojTbA3I5fr3xHzsgxKzLGRK87GRbo+xYIqj2ggW6C1By72tOLJuAaYt3oNlhzOQUmuES77Aj5CuDrqy20i9fRUXrt3BjRsJuHp0A3Yvn455c5fjvc3XcCCpGU97NfB2JqP61nZs23IU60+VILNGjGZlSci7fAAfnzqHo7dLkPREg+6eDrTnP0DqxfO4lSxGsLJCFOXewJ07d3HxThlupz7BlcQkbNy4CfPnz8P1xMRPbCoPB5cwiZbqN5RasEA8cwoVs3o8MFH6xwhgwRRHrTlYGGFrI8wFR3B17/uYv+IAVhxKR3KNXghG9xSAT8yRNBU5qKisQmlHH1p7OtEthMs9uwY7Vy/HtJUnsOFCMQrrn6Iv/yge7piGhetOYNUNDUo7rWIAzMLTO7tx9sAerD94C+dSqvC0sQ5PMu7j9tkrSM6vxlNNC9qa0pCW8gBnL2fj44QcnDxzFZs2b8bq1auQlJQk8xFHSp8IFa+1uGRlYGqJdLJOhIpmv1zSHy4smOKoJZjA14/g08t4dHYr1mw4hnVHM/GoRjcoWBg+oxHWnh4YbA7Y5GcE1mpo847iysGtWPLBSWw6k4lsMQpVXVuHE3N+jpkbL2JzblCEg2LUMZSiJ/MQLuzZgvfXHsfRC5moq61GY8593Dt7HncyS/G47Qnqq+8j+eE9nLiYhaPn03Dw6MfYum0rtm/fhuzs7GHPv56HPKoVcy8KFedkG2U6VaKYm/U4hz8qsmCKo55gfQiQYOe2Ye3GQcGqdXAO3tJAKIRQICiXt397l9Ya6IrO4NaZA9iw9wr2X89GQVkqco4twZbXfoYZm65hfyXQbBPf4ahBf8FxXN65HmsW7cKJYw/RUlcHQ1UqCq6ewMUbd3E56SEe3jmHxJv3cOpWKY4mZGP/0fPYJuTau3ePXEEczQhGmH1hZIhQcZsIEWkUWy/mY1m9nmGXfGPBFEc5wby98NdfQgqNYC8Q7EWEe8vQlXYcdy4cx94rqTifV4HK6odI2TUXK370KmZuuY3jT4E2msh56tFffBoJH67FuhkbcfrAXXS3diFg7EBvdRqyHiTiasJVJN56gJSCWmRUduB2egmOniLBtuPQwYMoffx41IKRRzp3ELfETVGT9XfS9HKfrNUakJ1chgoLpjixLZj4ZFiEivViTpZ4EjcvX8WlnEpktDejufEhHmyZjUXffx0zt93D6WagnWrQeJ+iv+Q0rm5bhfVTP8CZfbfR122QPy3k0UJbX4TK3FwUVrajWetGj9GKkvJyuQe2bZsQ7NBhPC4rG7VgREj8jLx+D5YXGPFqklY2lKjQeYc1F2PBFCe2BXMJvxrQVpqE5IQbuHUnD3kNXei0d0LTmYz7W+Zg8UuvY/b2ezjTMiiYW4xgRSeRsPV9rJu2Dqf330Vfjyny4yBGD7sBFp0ORotHPAfA5nChorIS586dx9at23Dg4KExGcEImwgTH3a4MC/HgNeSddhXZZXtaoeT3cGCKU7sChZGyNsPQ2MWStLu497DQmQ87kS72QlvWAtbbyZSPpyHVS+/KgS7jRONIkSkxAtHLfrzjuHy1lVYNWMzjh9KQk+PJfIjX4DL5UZVVTU+/viCFGzP3n0oKi4etWCUaV8hnv2haitmZRmwOM+EO+0uKd1wYMEURz3Bnlvk2HQc649lIVUu0/8eYTvsfXWoz8tAXkY+Cqo70ahzwREKYSBsgq2vGLmHlmLHm7/A7G3XcaAaaKFlR3MFejMP4uPtH2D5wn346FQuevrtkZ/5ArxerzySQrU3Nm/eIsPEXBFCjkYw+tZ2MVKdf+rAMvHslxeYcKrOgTpzYNjdWVgwxVFOMFpFrKdl+m2REYwEq/2kYAMhF5yaBrSW5aAwuwgF5a1oFJKYXF4EAm543Xpou2tQdnETzi56DXO3XMKWnADq9SLm6ytAR9JunN21Gcs3fIzj12vRo4/kibyIQCCAtvZ2echy06bNWLtmLR49Sh2VYGZvCKndbqwvNstjLBQaFvZ7hz16ESyY4ignmLMNjrJTuH1oNRYt342lex/i9uNemGQ9CzE6+cTo1F2ByocXkXjiGM5fuY/E9DLkldejprYODXX1aGhuxdO2ZjRknkbq/nlYuekkVl9tR359H7RVD1GW8CFOHtiPjcce4XJuHzS2z95/ov0urZiTpTx6hA0bNmLBgoVCttvydPNIoAz9MvHMSSrK5FgjJKOGEf0u8d5G8NhZMMVRS7AQwkYxR8o6iAtbF2LW3PWYvfkazme1oMMmRqegC0FdFdoyTuDjjfOxbMZsLFy5Cat3HMSOfR/hwMFTOH76FhLTylHc2oPetmzUPdyPgzsOY+PhZNxJz0deUgLunj6A06cv43RSNbJbnbBGMok/E8qazy8okJkc06e/h/NiPka1OUZCnzOEcyI0nJdjlKHhuaeRhN+RZHEQLJjiKCUY5SJqK9GWfhSXdq7E8uVbsXTndZzLbESDwQm3xwJPazqqr6zF7gVT8Oarv8Jrb7yNt96dhrffnYV3Z7yP+WtO4mBiMQq6DbB5e2BoTkPSudM4cfAMrty4gasJCbh4PgHX7+chq74fbY4wfF/wdinvsLKqCjt27sS7U6fh8JGP5Onm4Y44dj8VwvHITixvp+uxt8qGIs3IQsNnsGCKo5pgQWsXtPW5KEm9gzu3k3FbjEaFDRr0ihHM63PA11+NjrwEPLh4VBb6PHToEA4dPIADB45g/5GLOHElA0klbWi1uiHGBfic3eioyENxygNkZqQjJT0PGfnVKG/oQY/FA5d4q1/0bmm+1dTcjOMnTmDevPn48MMd8nSz1/sFQ9/vUWv0Y89gLzEavUYTGj6DBVMctULEAQyEgwj6hUxul1wid3l88PojvY8HBuiwpRjlPA64HDZYrdbIZbHAQpfVDqtdfI83IA9JRggi5LfBYexDf7eQqlcPvdUFh0/8TPGbPdR3SqeXb92+jQ0bN2L1mjVITEyETszNhgIJSi1nLzU68FaaTp4Fo4+fmv3wjDA0fAYLpjjKLXJEjQGZwxga4cErErm4pARHjx3DnLlzsXHTJlmXfihYfSEUab0yY+OH96nwjVmMZj5ZTnu0T5oFU5zJI9jo8Pv96Ozqwt27d2Wp7HfefReZmVlyGf/zluypB1+1kIkKj76SrMX8HCMedLikdGMBC6Y4LNjQIIkcTgfKysqwZu1aTJnyBo4ePYaWlla5Gf0iKEzVuSON0n/6QINXkrS41uxEtyP4XAg7OlgwxWHBhk4oHJIdVaii1Ny58+RIduHCRei02sFXfBKDJ4TMHjfWFJnxw3saee6rYTBbY6yeMAumOCzY8LDZbKiqqsLBAwfxyiuvYsGCBSgoKPhUjQ6XmF9V6n3YVWHFO+l6LBPzr6RO14hLA3wWLJjisGDDg+ZcJpMJKSmPMGfOXLzxxps4fOQIysvL4ZSSDcAvHl+LLYBE8TxpQ3l6ph4XGh3odTy/ujk2sGCKw4INH9p4prnXmTNnZag4b/58nDhxEnW1tTBbbeh1hZDU5cHWMqusgUjlsqsMvmEn8g4FFkxxWLCR4XA4UVv7BMeOHZfL9suWLcelixeR/7gCaU1a7K80Y36uCauLzXjY6YZZzMeiAQumOCzYyKBVReq2Qocvd+7ahXliJFu1ajX2HT+LnXfysfhRK+Zm63GmwYkuB9UQic4zZcEUhwUbHVabDfkF+di3by9mzZ2PN2cvxmvrDmD6hRxsL9agxDD8M17DgQVTHBZs9FC2fUZeAZZu2YN/n7oY3527AUvPPsT9Bj300WnN/FtYMMVhwcaG6l4LNt8txs92J+KX+xLxUVo52owORGfm9TtYMMVhwUaPKwgk9fhlhvzsR134MK8T+Z0meALDLyQ6XFgwxWHBRgdNryg7Y3uFDW+lUwFRE1I7HdC7qRdz9GHBFIcFGx3UWI9OJc/I1GN2jgEXmpxoswdlYdHxgAVTHBZsZNATojLXj7rcsvQ1ZWscrbXL52nzj2061OfBgikOCzYy6CzXE5MfuyosmPJIJxN6qQ2RxhUat9GLYMEUhwUbPjTvogq8J+rsmJahlyPYxQYHOsXn/NFeNvw9WDDFYcGGB20aU13DFBEaUp7hr5J1smlDpcEHxziGhs9gwRSHBRs69FRofkXHUKiu4csPtbLsdXavR9bciGLCxmfCgikOCzZ0qK0QhYZU13CmEIvOeVF3ypE0zhsrWDDFYcGGBi1caF0hpHe7sVQ8r9cf6XBAjGJUNHQinxcLpjgs2NCg4qDFGi8OifnWr9N0mJttQG5fpCPlRD4tFkxxWLAvJiQmV82WAE7V2WRNw5lZelxosEPvHuclwxfAgikOC/bF6N1BJHe6sLLAKENDqrPRYvUjSke8hgULpjgs2OdDxWsK+j1yQ5lWDJfmG5Hc5YaPCh4qAAumOCzYZ0N7Xk1mP04+sck2r9Qsj0pet9up2OjgiyYYFkxxWLDPQDwCSnu61+bCumKTbJRHq4bUpJwWNlSBBVMcFuzFUA/l/H4vPiyzYJF4NhtLzWIe5oYxSsVrRgoLpjgs2Kf5ba7hE7tcjl9VaEJCsxOt4nNjXddwtLBgisOCfRoqef2gnVYNTZiVpcfBahvK9D4lnwsLpjgs2CehxQvqobyxxIz3MgzYJEJDSuzVKRYaPoMFUxwW7HfQqqHGFcS5Bgd+k6aXrYZutLhEaBgccQ/laMOCKQ4L9jsMnqBs0LAk34g3hWC7K62y7SsteKgKC6Y4LFiEcBjyTNfiPCN+dF+DDSJEpGMollE0KB8PWDDFYcEix1B6nUG5ifz9uxq8/EAr97+MnvC4Hv8fCSyY4rBgkVXDux0uLBSj1y+StNj62IJGs39CDlAOFxZMcSazYPQu6Zh/uXgG60RISHKtL7GgSOMVoaGaq4a/DwumOJNZMFcwjDoxUl1ocGBGpgFTMwy4IZ6BSYSGQVWSDb8AFkxxJqtgJBAd9b/V5sT7hSa557W30op6k0+ZRN6hwIIpzmQUjN4dVYYqEKHgzgqLGLn0+KDYhLw+D+wxEho+gwVTnMkomDsQRq3Rh7NP7ViSZ8TcHINcQaQTyrE0ehEsmOJMRsFoSf5Wq0uGhnTOa3+VFdUGX0ysGv4+LJjiTDbB7P6wPIays8KKGVkGuaGc1eOWdQ1jERZMcSaTYPS2qJ78iSc2GRouzjPJFcQeRzDmQsNnsGCKM5kEo1HqarNT1pKfI0avj2ptci6maiLvUGDBFGeyCEYS0YbyehESTknV4YNis6xrSAsesQwLpjiTRTA6oUwHJ6mPF1XmvSJGsi4RGsY6LJjixLtg9E6oYcPdNqfshkIX1ZavMfrhCsT++2TBFCfeBXOIEDC/34PNpWZMTddj82MLCvq8keI1cfA2WTDFiVfB6B2EBgZkoRpKgaITylRj42arC932IIIxvLDxPCyY4sSrYMEwoHUH8aDDhWkZBtnm9Uy9HU/N8REaPoMFU5y4FEzcPi3JU24hne0iuWj0yhehIW00x/a64SdhwRQnHgXziuGrxRrA4Wob3hRyUToUHUPpjeEN5c+CBVOceBOMCoN2OwJIFqHhghwjXknW4WiNDR32gNLFa0YKC6Y48SQYtcIze8PIEaHhjnIr3k7Xy4YNub0e5SryjhUsmOLEk2BUvKbRHMCxJ3a8kaqX7YbutbtkzY14hQVTnHgRjOZWNMe62+7G8gKTDA1peV7riv1sjc+DBVOceBGMVgezRCi4qdQiszXWFEfqGirSJy9qsGCKEw+CUb8uOoZytNaG9zL08ijK7TgPDZ/BgilOrAtGd9phC+Jqk1OMWibMzzHgiBCtPkbqGo4WFkxxYl0wqmuY1u3BhhKLeA8G7Ci3yNCQEnwnAyyY4sSyYH4xRD0x+nG4xoY52UasLjLhdptL1tyYDKMXwYIpTiwL1usMyHNdtGpIx/+PP7HJYyixfEJ5uLBgihOrgnnFPVKu4eoisyxes6fSKkNDkzf+FzaehwVTnFgUjE75N1kCctVwWgZlaxhxv92FHjGiURO9yQQLpjixKJjBHUJCkxNzxbxrTo5BZm7UmfxyuX6ywYIpTiwJRtkalA5VqfdhgbjfH9/XYleFBaVab8zWNRwtLJjixJJgkVxDqmtox8+TtHg7TS9bvlIXysmpFwumPLEj2ABMnhAuNTjwRqoOb4rrVL0dzVaadw2+ZBLCgilOLAhGd0OjFIWCKwqM+Nc7/dhYapa9vaioTbwdohwOLJjixIJgVEODGpQffWKTrYZmZhlwp80Fmz+E8GS2S8CCKY7qglG2RpcjIO9tXo4R04Vcp0VoSCUBJnFk+FtYMMVRWTC6C507hMweN7aVWfBrMe+i0LDa6I/L4/8jgQVTHJUFc4r5VZm4vyM1Nnl/dAzlZqtz0i7JvwgWTHFUFYwyMqhQzbVmJ5bmGzEv24iTdTY0i/ub5NOuT8CCKY6qgtFhybQeDz4st8jaGptLLSjWeEVoyKPX87BgiqOiYJQNX6b34UC1DYtFWLiq0CTrGsZ7fY2RwIIpjmqCUfjX7wrhcpMDc3KMmJ0dWTVstfonXSLvUGDBFEc1wah4TVq3G2uLTZieEemGUiRCQ0qTYj4NC6Y4qgn21OTH1sdmvJOmx7piM+62u8SIxqHhZ8GCKY5KgtGeV4IIDWnkoupQFxsdMteQNpuZF8OCKY4qgtHG8aMuD1YWmuSq4e4KC4q1Xth4z+tzYcEUZ6IFo3+JTihTozyqJ//GI51sVJ7c6UKfMxj3hUNHCwumOBMtGK1ddDuC8t+mirzvpOtwQYSG1LTcy3Z9ISyY4kykYPSv0KphcqcbS/JM8gDljsHQkOodUrcU5vNhwRRnogQjeZzBMBrFv7dLhIY/eaDFojyjXKLXuCZPXcPRwoIpzkQJRiuDFAbeaHVidpYBryZrceyJTc67JlNdw9HCginORAhGoxPlGqaL0WpNkQgNxbxr82MzbyiPABZMcSZCMEdgQFbg/ajWhl+KkWtujgG5fW4+hjICWDDFGW/B6Ee3iNCQcg1pzkXFa6jktWWSVeQdK1gwxRlvwah4TaoIDZcXGPHrNJ3shlJt8Mnlemb4sGCKM56CUfGacr0Ph2qseCddjwW5BqR0ufn4/yhgwRRnvASjhY0mawBnnzrk6EXhYeQYSmDwFcxIYMEUZ7wEo64nSZ10DMUsa8rvq7Lisc4rRjVe2BgNLJjijIdg9PNKtF7ZYohKr60pMuOhkM3ICxujJj4EGxjAQCiEAb8fA8GgiHfEX904qbwSbcHoJ9GGMoWDi3JNMlv+vAgTKYMjwOkaoyYuBBsQQoWcDgQ0/fB3dyHQ14uQxSKFi3WiLRjtbdExlPeFWFSR92CNDUVan8xBZEZPnAg2gIBBB3dZKewP78EhLk9pMQI93Qi7XHJ0i9URrVTvx7ICsxDMNOaC0dJ7hd6H3RVWmQ5FZQAoNNS4qeT14IuYURE3c7CgEMyRlgLj7g+hW7MCxj07YLuVCPfjEvg72sSIZo6EjzFGqSEgBLNgQd7YC0YnlM+K0HBGpgHLxCh5qTESGnKu4dgxdoLRPEiEavRLPBAIRC76ONpXSFzhEEJ2G5wZqdAuX4zOH/wrOr/3z+h9ewp061fDeuljIVopQgZD5L5ojkajGs3bxPeqduHZNRBGqcaNFXkGMT/SC8EcaDCTYKML3+i7bSIELOr3yrJrv0zWYV+VDVUGn6zWy4wdYyZYyOmEt+6JDM+sly/Iy3b10jhcl2FLTIDt2hUYdm5Fz6svo/Uvv4zmP/7vaPmLP0XHP/19RLRN62A9fwb2B3fhzEyHuyAPHiGdp6pCucsrLn+1uGoqUZFRhF0Xs7HpViVu12rRaHCPgWCRDWUqFvrLFB2WitHrUZcbFp+QmhlTxkywQH8fLBfOoUf8Mrf/49/Jq+O73xqH6/8NXt9G+7e/ida//ipavvLHaP7S/0Lzn/2h/Lj1619G2ze/jo7v/F90/fyH6JvxNrSrl0O/YwuMB/bAeHgfjIfUukziniziqt26HQkrt+PU4WtILmxEk8YGV2DkIlA7IasQiZrj/dudftksj+rJUxlsrms49oyZYH5NP6wJl9A3a5oI0b4rr66Xvx/96yffQ9dPXxLXD9D50r+g/Vt/i9ZvfAUtX/0TtAjBaCRr+p//BY3/7T+h8Q/+K1r/6s/l9/TNngrNGiHZlvXQb98I/TZ1Lp24DOKejOJ68v4q3FywGuf3XkBKfj2a+q2jEszoCSGnz4NFIuz8l9v92FBqRrPVD+8Yrkwyv2PsQkSHHd7qKthv34Tl/ClxnYbl4tlxuM7BcuWCvGSIOOUVtP7t1+QIRoK1fu1LkdHrn/9BStg3ayr0mz6A6dghWC6dj4SXN6/CdkOtyyHuyXnzGqpPnsOpHWdw4Owj3H/ciSadE+4RzpMoK+OxzoetZRaZJU8pUSmdbq4MFUXGTDDacwoajfC3t8HX+DRyNTdE/2pphK+tBd6mRthv3UDfnOlo+7tviNDwf0uxul5+CZqFc2Dcu0POCx1JDyLzr0ox16mvjdxnk1qXX1zB5qcIifdXkV+J7VeLsP5eHW49MaDB4BWCDX+0oYRdyiu81OTE2+l62YmSTiv3OoOTuodytBkzweQqIq3q+X0Y8HnH7xL/XnhQbkfaI2hXLUP3z34gxeqfPR2GXdvkqEqja7C/X25Ah51OhN1uDHjcCHs9yl0D4gJd4v097rLi/cw+LMnS4HqTPbKKOEzBaN5FR/0fdLjwQYlZjF562TCvyRJAiOddUWXsBJtABsQvUECnhTMrHabD+2EQ8yrToX2w37kFz+MSBDrbEbbbRRwbe3+qaaN5+Sg3mikEpNZCuyosMltjdZFZrhpSZSgmusSHYOEwgnod3OWP4XiUDGdaCrxV5XLEkpkcwdg9cjHajWZavGg0R04oL8w1YE62QZa8ptBQ/F1iokycCBYSYZ8DQa1GpkcFxWgWdjkHvxrbjCYXkV7V5wzhfrsLm0vNUi46oVxp8MnSAEz0iQvBJPTn+NkVR4xGMKeYqxWK0HB3pRXzc4yDJa/5GMp4Ej+CxSkjFYyOmlDxmvMNdvm9dIiSjqH0OIJcX2McYcEUZ6SC0QllytBYVmCUoSFlzJdpfdysYZxhwRRnJIJRlEzzrHVySV6HDSUWWfLa7GW7xhsWTHFGIhjlFdIJZTqGQue8aNWQPserhuMPC6Y4wxWMvna71YX5Ys41L8eAIzU2WbyGj6FMDCyY4gxHME8wjFpj5BjKm4902PLYjKxeD3SekDwDxow/LJjiDEewFqsfJ57YMD1Tj/li9Lra7ESXIyg7VDITAwumOEMRjNIJKR3qXrsL74k51zsZkXrytNBBe2HMxMGCKc5QBKPj/yTTh+UW/CJZK0uv5fV5oHdzo7yJhgVTnC8SjMI/KnlNq4bUQ/k9ER5+PJhryHUNJx4WTHFeJNizZgy0aUyVoZK73JiXa5B7Xkdqbagx+uSCBzPxsGCK8yLBqKwa7WlRbY1SrQ/7q6x4RYSGtCxfrPGIEY7K2jAqwIIpzosEo9AvGAKaxccn6iKh4TQRGl4QoSGlSDHqwIIpzvOCXReCNQ2GiHoRGlLvroWDdQ0PVdvQbgvwMRTFYMEU53nBKHmXMuS17iAKNF7sFaHhu+l6LMozIafXw1nyCsKCKc4zwaghHglWZ/KjTO/FsSc2uZlMlXkTmpzoc8VeWfDJAAumOFKwAhOW5guRmh3I6PbI4/+rikwykfdgtRX1Jh8vySsKC6Y4JNgKIdiKAiNO1dlxtNYmu6AsECHjxhKzbFju8PPChqqwYIpTpvfJzAwKB+nIPy3Fv5uhl10oE1siJa+pLBujJiyY4lQYIiPYL5O1eC1Fi5cfamXRUBrJqsXXeENZbVgwxaEGeXNyjPhGQg/+8ko3/v1uvwwRIyeUOTRUHRZMcYo0XvwqRYf/fKIDf3CuE1PEx1eaHGjnbigxAQumOLl9Hvz4gRb/8XgHvi5GMZqHUaM8L1eviQlYMMWhRnmL8o340X0Nlom52IMOrmsYS7BgitPrCspseeqEUqjxoNsZ5B7KMQQLpjgkE7V2tfjCMkueFg1Zr9iBBWOYKMKCMUwUYcEYJoqwYAwTRVgwhokiLBjDRBEWjGGiCAvGMFGEBWOYKMKCMUwUYcEYJoqwYAwTRVgwhokiLBjDRBEWjGGiCAvGMFGEBWOYKMKCMUwUYcEYJoqwYAwTRVgwhokiLBjDRBEWjGGiCAvGMFGEBWOYKMKCMUwUYcEYJoqwYAwTRVgwhokiLBjDRBEWjGGiCAvGMFED+P/ZKuM0Dyv0ZQAAAABJRU5ErkJggg==)
An isosceles prism of angle 1200 has a refractive index of
Two parallel monochromatic rays enter the prism parallel to each other in air as shown the rays emerging from the opposite face
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)
physics-General
physics-
A light beam is travelling from Region I to Region IV (refer figure) The refractive index in Region I, II, III and IV are
, respectively The angle of incidence q for which the beam just misses entering Region IV is
![](data:image/png;base64,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)
A light beam is travelling from Region I to Region IV (refer figure) The refractive index in Region I, II, III and IV are
, respectively The angle of incidence q for which the beam just misses entering Region IV is
![](data:image/png;base64,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)
physics-General
physics-
A ray of light, travelling in a medium of refractive index 2, is incident onto the flat surface of a slab, the angle of incidence being 37° The refractive index m of the material of the slab varies with depth (x) from the top surface as
, where x is in ‘m’ and R is 1 m–1 The maximum depth reached by the ray is ![text (take end text open sin invisible function application 37 to the power of ring operator end exponent almost equal to 0.6 close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
A ray of light, travelling in a medium of refractive index 2, is incident onto the flat surface of a slab, the angle of incidence being 37° The refractive index m of the material of the slab varies with depth (x) from the top surface as
, where x is in ‘m’ and R is 1 m–1 The maximum depth reached by the ray is ![text (take end text open sin invisible function application 37 to the power of ring operator end exponent almost equal to 0.6 close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General