Question
Which of the following the correct relationship between two current gains
and β in a transistor?
The correct answer is: ![beta equals fraction numerator beta over denominator 1 plus beta end fraction](data:image/png;base64,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)
Related Questions to study
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
A light ray is incident perpendicular to one face of 90° prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45° We conclude that the refractive index.....
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)
A light ray is incident perpendicular to one face of 90° prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45° We conclude that the refractive index.....
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)
A ray falls on a prism ABC(AB=BC) and travels as shown in the figure. The minimum refractive, index of the prism material should be.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAAE/CAMAAADG/341AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///+/v5qWtrSkpKUpCSgAAAEpSSlpSWvf39zo6Ot7e5pScnN7e1jExMUJCQr29vWNaWqWcnHt7c73FxXNzc+YQtdbW1oRa74RaxZxaUlqM5pxaGRlazhlahHt7hGtrY8XFzoSEjAgQCBnvY4QpjJyUa5xajAje5lrOpRnOY4QIjOYQ5rWttbVa70IZUr3mpebWOuZaOnuca3talOZCteaUtbVaxebWEOZaEOZrtebWY0pazuZaY0pahGsQUmsQGYzOpZSMlL1aUlrv5lqt5r1aGRla7xlapVrO5r3m3rXvY0rvY0qtY0reMbUpjEoZ70oZpSlSUuaUhOYZhBBjGUrOY7UIjAhSUhBCGSEhGeaU5uZC5mtaOuZr5mtaEEIZEITOEBmMEObWhEpa7+ZahEpapWsxUmsxGYzvpebetRAIUhkQECmMpQiMpea9rbXOEEqMEOa974SlOoQp74SlEIQpxYTOMRmMMSmM5pwpUlqMtZwpGZTO74TOcxmMcxnvEBkpzhkphITvEBmtEISEOoQI74SEEIQIxQiM5pwIUlqMlJwIGZTOzoTOUhmMUhnOEBkIzhkIhOb3jCmtpSnvpQjvpQitpSnOpQjOpRApUr2l5kJaKbWlOrUp7+alOuYpOoyl772MnOa9zrWlELUpxealEOYpEIylxbXOMUqMMbXOc0qMc0rvEEopzkophOalY+YpY72MvbXvEEqtEL2E5kJaCLWEOrUI7+aEOuYIOoyE77WEELUIxeaEEOYIEIyExbXOUkqMUkrOEEoIzkoIhOaEY+YIY72la71anCmt5r0pUinv5lqttb0pGYTvMRmtMZTv71rvtYTvcxmtcxnvMRkp7xkppb2Ea71aewit5r0IUinO5lqtlL0IGZTvzlrvlITvUhmtUhnOMRkI7xkIpbXvMUqtMUIQMb3FnOb31ub3Qr3F5ub3EEI6GRAQKXtSc0pjY72tnEpCWkpjSvfe7xApKaWtlFprWggAEN7v7+b3/9739/fv9/fv5v/3/wAAAEj3KpMAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAdxklEQVR4Xu1d7XKyPBNuQIlIEjAw/BTob06Cw8gxeOL3/afTYezH7Uyddzeg9VvU4Ks8XG0R1Na6bnav3Ww2Lz169OjRo0ePHj16/L/A0pDUpz1OI5RTvz7tcRoTmlg/9XmPU2CeENO4vuhxAsSXgifWor7scRxzK0vcgdcb9vP4m4cTKmTaW6uzIPMFkyLwWH3d4xgWMPJIUVKZ1nf0OIb5GERlJSLJ6zt6HAEJgamPvUTQfgSexoJZXu7nWVIK6fdO8BR+YksjCxza84WTIPGcINKC0mk/Ak8gtepRxwqHU6+Pbo6C+FltzMefiQAn2Ec3x7Dw81qrSGhlntdTq+P4YaxWJDJnjPV2vRH6sdejR48e3cKy939NwcJ5fdbjDNLiz7/6tMdp+Mk078dgI+RCTPsJ+Uaw+Mydpr2sGsDiw5mQvV41AIhq+OZM+7TxeeQgqle77GV1HqhVNndp1svqHECrFA2EoL1enYNlD3nxKalLe9t+BqBVwopz6bhlz69Ow1JDyhYkzQQX0p/3WdHjALNOQZlGqRTKTSxTekVI9zQUbBWK6mXEJLfdyDKTZyBx3r3ZxbwW1ctLmrlKJJaRyWbmTS22hJNFh7RrpVUAtFc0MZJnCKdJlo6wOCLvTnz5q1VaVkJEJvQqT0A/4c+mhcw641fBA36t3ssozBxXyPzWXB8Ze+BPs5jFGXWSSVe8au0BK4zSjPLb7RXJpTtTiWdl1C1l2JXKXLRVvx/7KJQC/OCN9mrslep7JpIA/hZwtfrep8emrUKkU1fZSX6TXjEpZsPXN64UT3zSGVaLbH1Lh2JpK9CrG+zVwk/UbIh4c7q0imfLVmmAXiEXvV6vmCfetKSGinZpimODV62QyhLiwavf5NIPaqUazpzMj/91RVr5nlYhv3KQX43rywsxssqPSlLDV9tJsomvefvz41MN33dFBX6wBFldp1cEgslaUsPh9wy4R2bFnVCsQ1qF/GqA/OoavSIWVbWgQK2GIKvI60Zwgx5w350T4Fecy2tyMuPiV6lmH1xQWXQkDNz3gBo/6VQAK7qcX4GQV0r1rfToC7sSMB/wgBVCyZFfXfo246Ks3B9oFCiUhfmFjuCIVqG90vzqUr3yE1sLSolEWoyR7kjquFYhFxVgky/i7STN+AzkpMCWd2bgrbAbA26Cee+iBN1oTouAkXH1gRaqO1HyGtuZhW2M4iIQTnPerud9wJQXIevgLMRJrUK9os15+yIGhiESz+/o+qbPk6IasYxiXrSJjixxfgzzzd0IY/Zx1APWYJ6weSPenko+AybW3SpctFUnHTrYH1tEZ2s/CErKTvJRZzJ5e8ghsDlNBxjO0Z+1VyBRxd+vztw8A84NQACD2Hkg/VNcVPu+m3PyDw7UqnNvkHmBKEEOx8cW8ilhZrb1cQFatZ4HPAbCsq9T/ArslAO2v+OSaqRVEARrfnUsHozBTs1453umnGLrG4hxLvWwLQKdEupbiWnnRXXerCNGwK+4e3DeOZXuh5q9uf8JrWpkY5BfcbrHGZBPKQViFElY39VVnI4BN8EKiIXpbtyi+VQwlV+CTpr9nafF3uzycYD13h2D2k65Qc5y6TjTDmU8D6GhrdJgHtV6VV+CpOKsBOnli5exRQU1Vkn6mABb9dU0bAN+BZwhsdZ1yNXcqvaLfuIebFq0+beXvxcbp08DtFXNkwGgV64brPSq5ug6hAylEMWef2S+74erCVOShn6qn7IgDE+fTFwX2CpEWsAYrGq20U5hrXv126hg2c4fIuPcyj+9iU6yk7Fv5X+sHAXEUrg/fzbTdomtAgC/cmp7lWZc/cZ9mC+VO1oVF1nO4onUs8ss93wy9wsrRvKfxyw/GYA/IM7mq3aB7EDRSepL/qp++TvJv0QUbw6pBfECpKWhDMCILcNMX2TZn/mLn/lg3T7j58qXolZdVnbGslLZZZLw2WyzfCoFu74V+CxjqXtpwvOx85qV6IvJtIh/YlAwkk+erOqjMVtfYxRLx1bKVvx9kx2kEd92gcSPBEqHFIKyFzIJIrhIPZnBOPyT55YXkufSquZs/Rcgg9n3qyq9zSiHSVtkm3M1yzARCYrKc0WKxEtrlSfBKSzGYe6HzzZfsVm3fgZrk4Zmavit3iebdplJ5Wabd4CHdBOwScTjNAYT94VaxbykWsezBPNVPe9p0NwDkooTAfKIz15narDFo9jU5tv92xcT+p7D703EVwwWi6KKsSJKnrW9ZlNbNSJ+3ZRvhHl0xTnGgxu/ySIYgJuyA8MkEy9mYUHh/jTT7jD2guhZ45+mtmoZShxNAJSUoFHk2PamHY8lmPVtURE/K7xJAQIjMAy1rYq9yNRCurvjcNXePohXChQMrrG0XZmHILE3leQry75AsrCjL0vG0tSfJriCHEiWHoAoqmfVqoa2igE3T4ANsWplCZh4hpmqtXR+LCqS8ICl9qcSlW1Z8arYk0X6hKEyomEMOP5D34Ad+Bbm2KWPznARY337Ks/ACioO9fhlXlagjSO+RFGlRaZ/+RnR0AOOC/H6yhOZOAIkVdN7FM/KtqdTIbLdbPKS+ZZXL54EmcEzw6J42joZzFedFxVwJDUcKi6EoBttx+PiXYhEJ4r9RDi7LICwNF81tgVZWZOUhJ9nqx8eFqBV5dl/fjGvitG/v9V2pQebJEJgpQJQS0G9HddG0pSR32rQue+nMXuyaGYDyKvOmtmfUIpvrIYd8vdtQhCDiAS1UkuWjtxNQJGdnr9/0/iZS4oa8SqSv9d1+yootjItoE6By6lMMLW+Z9Wf1NUdQSO2TjyxWovFg8zaWriNcxPKthVY+/qerqKJByQxlljXsgIulXhh/Ld+TMvKng2VyJATdBlNtApIwe8KIxRWKb3fDOYSZPXxrej+JETH0MRWpdFq/AFeZ0oE0t+cbtFjEKx6fdlVHFoPuI0FxCzrtZC4FisprJ2tuoAquAZ77zwozseAI70YBIFLsajM8r2+/zAGk7Lq19FhnM8skM/KUoGNcqLMB1ZZP7AJ5Ffub56hkzjvAdMIlQos1PvUs9JjwsAxyKl12eTPc+GsB8R69Nc3BSPPi8nxqGQJbpJz+tnhvmpnPCBhmTt7xZUzVnpmhgX8oFLUY53dnPG0VoGkhFJl5DXJB8Qgq72kcYdw0laREDN58O7HDST1skB+xenzJqTOALXqWFqShLJsum5LQ9v2r67qFdqqw25rQbBbKL2o4wmmrdyyo7ICtn4kCwqSEq5z2VaLMAYDAfaqk34Q2frBfBvxIxfi4lUevSmAi3JVfnZRr5CtH1rDB5KCt3z59p3LuKA2cIZLf+8JcMQDoqTe3ORSnUJoftVFe3XQAxKSg07xK7eETWsuWl92BqhVe6oDkrqlO6HmV93Tq0NsfQy+77d2+HKMgLdD7Nw1WR2IAYkvS0Gnt3QmjD9xYwDv2SrTT2O/ag9H36V8ahcLXGvJg24tUNrzgCSMBPCpW7vzss/Atbtlr3ZtFUiK45zezfoAeoX8qkOy2rFVKKkZv9r3bQBiHKFmgw7JakurCErqDSRlpAdHnInZB510xrZvaRVGyLa5fglVDrkzeVHsNFR/7AsGLOEWPrWH2APOEGytBHhibHhA4FPCvTyXcArMkiirbtirX1sFEXLJL8vknQfICujsfjnRM2LdvUN3Tf2t8zQFZiWCd8MPrgYg+j77hn7YRwGy4opaz1vXuEbdv0ozz3a6Ks21rDqgV6BVgi1YLSnDo68CzuPYHbBXwKuEFU9uyk+dw9yDsJJ6jSYTHxjgAfnUA993YV/ZS7BA2y6ednHbCjkfzigV7pGOS4aAnOHpc31gq2aK26b51C7YBLnoVb3uHwagVVjembRdGTUG3v7kegVaNRx+8531oS2AeZWsntdg/UFR3aVR3hw4gxKZ/7SDcOJi8eJH2X7VOfjBgCvxvJsWowcUnEP0t712pg2MsZ4Bg6fnFBbYKi4zLF/Z6ifRDtgkcrnzrGMQRWXF6J5ElrYe0o6Rt19RNPIQALYu0heiUyVF+2lw5FccN1l/woQ7ZhbAohMLxqBzhzGo+dVz2nYYgDpfNQf3xJ2i/SkDnb96SlmtsqAL0Cvwg9kdxqAV8Rnwq6dL9oFW1R0c/06+UFatj0FcP6g+3Mz/+2SyQq2qa0HHk4TzQdZ+rzLgorYtpqcauD8i0Fatqvbmn5pftR/SVmuXsifrS7iesUGMc+AMzh0WIet5HJOTs/fAygNW+Ffzq9bfQmxpLvpUm6L7m1p1R36luehzcQZrZ+0ysyi377CkCNfwuqqUT7Td2/YABGh+5WTtj8Gai4ZP4wd3q/ZqvXLuoleBjbm+Z6kpOlBhzD6BXwEXvQNvp1wNZPgknGHXViHGFe1pPx6Mdb79WWKcg30WdE7mLn4wl9R1ps+hV6BVwf5IG4PJvUv+auxLKuhz8Ks9D1hhrvXqDsuQiT+lLgU/WF8/MPY9YAU0uXeZ4vznSweT1Y8vqwMesALSHh7cYYqT+Ni+9gniwWNahVOc1OXJHcqDiS+5KsEP1tePiqNaVfErN/DuYK9CKdTjz3nhyq1jfg74lS6lbp31LPypEMiv6uvHBHrA+TFZkFpW9WV7+AF7JUCvHppfoa06vqIG+JVeAllftgew7Q7o1UNzhhO2CjGfYAuvOywp0rIawBhs/ZWuxundvIH24NZRyaT9LrHgBx2OsqqvHw9H2Pov5sBFxU473lZQb0xlzR9VWNpW1ecHoVstieQu9kpi8dLDFrjXqyFOgXgByuou8SDnPLrDp3IVzg5AAKbBRbDetYaMWUvGF5fZcRE96MLUrXnAYwC9Kt31GMRtWlr64LG5GHdBVvX1QwG0qkEXf7DtAmKcKvIgRbLbhN4Y5r7EDZ4f0l6BVp3v4o95hkjzK+D1CyYH7eVM/gG/ckViPeCCHPCAQZP/CvwgbpkBnzab0DZ78FYLqB9xX6AmZl2DWdU2piSd8g/eYl2Dzl/xgxuH/3+BvKqZvxkDb4fY2fcCNVT1plKt4J8vXQWKa1BWhBgY0I21qtIrXkYJtjQWbXbBnocgK5P8iqSed3skfjwLug8tK26/DYdDt9VkOMkj0CtjfpCkGTVQNnYms7ANllE1G76CqFS7WayqeWtkyA+mWcCd4uaq/P3+VcexwN1xq/1sZrt7ARrGPNeNREzoFUmLQAgDU43NbRVhvqftFOJbRe2m4UCvcJP1/GZZwej7QkndXlXQ1AOSOPdkwNc7jyjqtVv/AX5Q86sb5ya0TlEZ1pe3AG1VA7ZHwiIpORiqFbDJVbvlH3oeh99o20dpARTHzER/Q1s1hsEn1Bta9ArfnFr1Y20B81dv7k1jkKTSsYWhfZua2ioyD6dfgqu1sGaiaNVYvbws9VzqTXqVZg4Qf0NWtTmvArM+AfOhZpW0XnnLhh0wzyPMX10rK7DoDojaN2RT0VY1Xgy/CK1COnymTRbwhbYTowuIB6lbXplnGAHz5HqXbDMAW9Wcgr78kHHoyXfBP1CtcMvblrHATUCv0yv0fa4wNfoAB6v2ToKl6UQO7I/ZbHuj85bAPKBFV9h28H1fwpW+uSoC0Koze24dANMca6bu0j4IM2WgVxduDAA6hczTZALkgszCBgjE6on7ppJ7ZMFxds29MMZBPmUkmtnAJZmFTSxTfyqU+3575HEeYK+wBecF6wfR92F5m7nRB7gos7CFEQNZicC6w0wU8zRnaO4H0wL+tcQUS6jRPAu6jzgT9l3qGVayamivwE4JpUxEyFu4XqsALCuBuHj/TFqEw6iqASx2smagBo4+2343O/oAnxfxql0wMAmgV+2LCitTRdnItmP6BviUcUldwau2wAqtV3fxg5igO+9FUKcEb2Px3FW86hdgFkCvosk/45/hHipZWfPTYxBTN65ZPrXCdbxqA3GBtv1OXBTnnU++0hKLHgzzqRVu8YAVMOF+N1md+VR02qYlSTXNgp4Cy1yF887t86u/Rak3azwmCRh9/I23YNE1QKsaz9gcQzzFBqx34VcFztEfW6EBknJRUi19ZjfxqhXAXnH3/U5jEFdoHNQrkkL4YCetLfA9V2HcDMDb+eBOnAFt+yG9Qt9nMpO3ByNahSMDHM/d/OChlT/Ap0q31SQ2ZkFNjG3gV7YI7rGdtx6DdDf7Q1I5QD7Vom+5mVfVGDEdO9/LXqEf3JJKioWRSb5skQpfm6/aA8gKKc09VjNgngH84ManUtmpll/clFYBUK9EdI9VfcxDfjVZ+0FkCao9llDjkFZtveIFLx9LvVHsPfRK10Cu/CDLI3v2Qdt+YfSAm/OAhPm+vw7LSYoX+orB6bl5P+RXMAbvZK+QX+n/y0vs2bebta3O2zULC5Ja3sSbVB8QmeeWlefa/xLfs7z87+K02Ywzyumd9ArMONh2lmeJAEmpqPVX3bZVP6nn+Sz1qrVm/0A4jP3xUpy6tPLYh8vqeUcRF9Qtp3ewVyNdh0ynWeLw2ffwtfUKil1bxTwJoRzxEl3q6WcFSCmOMoYy9IE7nZ3LGoWZw52WQvst4D68M8W5Uq/fwyFYqnZtOmCLrS/jaeKNXogVoSsmlsTW4nEUWOTF93wcg2fN0CjGaaW2u50tluM/maPr4qqCS/sODeO381W+DCywS3kSFPEilRLtZhqUHlmy3ErzSXo+FB3hCsiWu+iR+E8Rid/CuFdF/7SuVDsxYCoDb4kJMjqNf/JIu5g4cbI53Pj+n2YljejJwQ+2Z6/G2EfmY/ZdKRRgZkftr1bcmbHxI+r9vCx8+Z4xYiV6LXyaiOIvPMbipmUDqeRt8isscUFT/ot7bEIAWrXlAWNJs/RnGcogS5cgKm2rElFRluZvnekx2Bq/Imk+dYAh1IICSxXcY/XS9owNy2XixWwSJQVoFdWru0Gr8OYigG13W+1KBXSK2rWghkPV4kqyX+zEgMTKMisvksj6WaBxr7Xq4s+MZY4AvWrPXv21EtwrpcLHPboJ73hAVO7Q92SUxS8/VqKj9zigHtqqi6AnLrFTeH1tHGBJ+cfsoxLVjAd3yP6gB9zRmdiTyIuWcRZhshG06or1tyMdebRm24HJYNJqgINwpmzdaavtWVvQqt0Zm7iotIHk00pUV1mCnxhXt7ekVz9VJi+TSENVSXfzV61gL7fO/InnV1oU68AmlNPrloikUxd3NmjBXtWNPiBalfbsFaSEpcTtriUDbM/YLAgLLQhhqitmFT4jOYbLVyGVbit5BpCUi2scFhCtlh+42if9BFkl3pl6hhuxrVVzP/fj3zb+zMckzPVt/dkUZDU1zq/STNjV3MzSTzjHD0OvrG55DG7P2PxNt98XpvZuCRmwJNM0v9J5dDENtRVnxSDwMIqoOoy0KqttXrWErx3c9jaRX9GpyW0acY3Dxvo+P8mqBWxzLylxLtXox7KFQ7l1g4A35riOQT9YEbbpOqWdrhNDYwvXWk7aY70GZ2wOAmSFzsrUGBwBS8BGc+tkEPttT6M3l21x1UHLWgVvLpTcLg110QPfR4Ujw8OejuG6ifY6A6IHbHcbUwxB1MBMl+JKRY/WebbbTRhnbFqOCNgE3oBjIIcMOsVtCADqywMAvbJVuTNHbwpt2yoEtkO2nSy/NacEHF3x02bvL9YziHY6eoOtEm1n8BfMC2BgyPCmkQ6+D0K9M+tmcEMvm+uUpHHkfGh7jPybH/5G3D4+l3o3pNtiHKQdosH0BvvETvFtdPQGrVKRN7E8a/Lp4RF+No6T3DJRLL/EDfv1LhD1HRcD7FSAvu/854adl1ux7aBVM0EpDWjwToOA0q/f4xfcX5rJxeKO+i6GI1f+Mc3RG6ol8Ha0V8ZlBWZ9xh2KXwN9FNSBm1KfOhCWCs+EqDBhCG/gWt6+4lPNbAHEg1xdPiFwDqBVHzSJZBTBDxwlHPFbHxLKlWuoBSHYq3fgV1dxUbRTl1D+uUXfVGnaD36CWc98QIgHfVufhWHoY5cQz1ATULBXIPlrdtkCnRLqBPPcA7hcoRTY9vraDICtu/7oZfECsQKIZLGE76U+gSPxI2GwxIR94hZVl+dFK0ldVGWt60VLs7v3gQccHBc+/JOOuR6gy1gXvF5orwiuMDrDPPehZWXWD55m62BNB5nBEFGTnsv4FVp0zKNfagXGn4Hrgl6Zi3FOZhZGqXQcQx5QA/QKZXWBXqFOuY193yaY9WWWX+3N2GwhlaUugzEG3EER57yaDidcN4OdJa75uJgVAJUz5wdPrrEZhZIa1SpwFzFuWew0bACp8+gQPF43ipBf2eb06qRW6bhLVwwZREUQG+nVEjwwltRcuxYLbbsamOoUv10JswPQqgE1XY+KflCpJnlR4ieqmu+7FiAreClDMc5JDziKpSPMbyWFiRLkV2dkRcJIvQFLuGV9H74UxGZG+BV6wKOfGtoqUzHgBnAX0/Px4MKPOEjqxsphg/zqjAecOmY9YA2c4OSndwUEPuXiSshbdAqBqTK3NCGr07wKSI1hD1jhPL/CuA9nRm/PKzIL/pIJvTprqwZFGxM6SzYBWR3PM/xUfKop/ToJYknHxBg8rVU+8Kp2VmSc5lfIp1xjW33r3UZvl9VpWxXLgZO1IirN27lysoN1NiHwqYG5Tl3/cgwRbpXV5ylehcVxgzZsFWKB/Ao/7D2BAJ+yzfbgwOk1nB+sL6/D6U5DGC4XLXhAjWoiKtgjPSRFlmCs86nGHHe+H9xWJwNs/cC+yyv404FjOrD5BfhB3KJqMt76BxbY18W9Ppo5CJwGEfix1NfXAD3gcbXB7L95tr4G2ivXjbb0Cga94KBT5kZfhbkV3egHwQMe7wnTQmZhG2CvEoGbbNXXaz5ldPRVYFY0uIlfnctXOVcshbgAMAYjITaaFKeydMt2enDg+ip+g23HWtD/n1ZhebsXuG5SN2ckfqVT7bwkQ85wvV6dza2LVtj6L7Rt54lFwIwvdUWszE3xqV2AXmFe9Mo8w7kYcGB6Nm0Py7igtp1Y8QJ7mtlG+dQuxsAZ7DJLr6pvB15VHs8SxlNHFG19xmtgMw47KHwr4oonuXmL/gvQK2C3V01xo61yLfJy6OsHabOLG9Ys4NT0zxJfAg4gGGJR9QYEq+SzN70qZwn4wQfxSUv97BsP8L1cvCxxGRNXIKtrokusWZDexLLge+/Hk6VStIBTvEKYvcXjBL4yoYbfSuHOSzzIvMknPrL+NnSAH/jDMNhfh7OrRjmY9aErSoHfg9X3+pyr2Uy5eDoY4E99c/sPoD7gDe768vpdbaPA9X8DWB31U246wBFP4LQUrpp9D2eqzC5nbr6AT9NW9hYU2Az9BQ+sH8QbvAvPbr+FG9v+fZkPNfuAA/4r9X36C56hn3g19J9Zn+ArwQuoj6tqIP0koIiqxAq/9c8v3vFQP1Y9Wj1+462+qe7RSCgdwIvpf6Z+QvWkW75q1Kf19Tu+yldwwQx3DZbjWAZ81iefq2N18ovVEzRWD157u8bGHXC6+RI18K7q7kvOVkf4m/Ur4E11mlePpRcXuRJCfvBroY8EvBMcyEJ/w0N4CV9wrJ+gr/FZV9/iCXzV1/pV8LQC3rG+qO7XP/q08dn6Gv4cvCSe4r9f//H6uxZAjx49HhhL3OidkbGJnWOfGbh17hkJkBS8gB9iK732kpwPjwVhaYp5BgyyjoHkMpGF7+deNrlHG8FHxCKG9w+SWizHG0vb90DySCRWzOI/GU0ecJPxO4DEE2wsiDIivnWiBiuVpWTLxZJ5nN+j98zDYeFn0vM1DV0u0lPLeJksq2ljX8wSw8sGngE/cRbI9Up9wk4MrHjqaGUiluCtrJ57cJBJsB0xH080MEl1z9+0cCKTbRCeBfFU0IYTLPDUxPNTv5CR1e48w2MipDxpqCJMilLmuZUl0T2arz0cfNq4KgJsVeDFjPnT5PLMTQeQO7xpSWCcCV27C1y0lP9BDwha9d5wAKaybuX3T/I79P99OIRfNm24Ax3LRF2O5wnza1cfH2zqNl3eDGShEhXIrLzHBn8PBqwPbbh2B8iCRKFiQUVioOT56UCsKPJ0fv3Mmx+DUCMrjmMf26X+95QKwPIs+0xjRhanKxiYL2lU5KlveV7eekfNx8QoBV6ZxvNzioKTWn7KUnhqq20PHxkjQoBZnt+0FjOlOBv0nxWUxpIsDPS86dGjR48ePXr06NGjR48ez42Xl/8B3gpMeM2cWAgAAAAASUVORK5CYII=)
A ray falls on a prism ABC(AB=BC) and travels as shown in the figure. The minimum refractive, index of the prism material should be.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAAE/CAMAAADG/341AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///+/v5qWtrSkpKUpCSgAAAEpSSlpSWvf39zo6Ot7e5pScnN7e1jExMUJCQr29vWNaWqWcnHt7c73FxXNzc+YQtdbW1oRa74RaxZxaUlqM5pxaGRlazhlahHt7hGtrY8XFzoSEjAgQCBnvY4QpjJyUa5xajAje5lrOpRnOY4QIjOYQ5rWttbVa70IZUr3mpebWOuZaOnuca3talOZCteaUtbVaxebWEOZaEOZrtebWY0pazuZaY0pahGsQUmsQGYzOpZSMlL1aUlrv5lqt5r1aGRla7xlapVrO5r3m3rXvY0rvY0qtY0reMbUpjEoZ70oZpSlSUuaUhOYZhBBjGUrOY7UIjAhSUhBCGSEhGeaU5uZC5mtaOuZr5mtaEEIZEITOEBmMEObWhEpa7+ZahEpapWsxUmsxGYzvpebetRAIUhkQECmMpQiMpea9rbXOEEqMEOa974SlOoQp74SlEIQpxYTOMRmMMSmM5pwpUlqMtZwpGZTO74TOcxmMcxnvEBkpzhkphITvEBmtEISEOoQI74SEEIQIxQiM5pwIUlqMlJwIGZTOzoTOUhmMUhnOEBkIzhkIhOb3jCmtpSnvpQjvpQitpSnOpQjOpRApUr2l5kJaKbWlOrUp7+alOuYpOoyl772MnOa9zrWlELUpxealEOYpEIylxbXOMUqMMbXOc0qMc0rvEEopzkophOalY+YpY72MvbXvEEqtEL2E5kJaCLWEOrUI7+aEOuYIOoyE77WEELUIxeaEEOYIEIyExbXOUkqMUkrOEEoIzkoIhOaEY+YIY72la71anCmt5r0pUinv5lqttb0pGYTvMRmtMZTv71rvtYTvcxmtcxnvMRkp7xkppb2Ea71aewit5r0IUinO5lqtlL0IGZTvzlrvlITvUhmtUhnOMRkI7xkIpbXvMUqtMUIQMb3FnOb31ub3Qr3F5ub3EEI6GRAQKXtSc0pjY72tnEpCWkpjSvfe7xApKaWtlFprWggAEN7v7+b3/9739/fv9/fv5v/3/wAAAEj3KpMAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAdxklEQVR4Xu1d7XKyPBNuQIlIEjAw/BTob06Cw8gxeOL3/afTYezH7Uyddzeg9VvU4Ks8XG0R1Na6bnav3Ww2Lz169OjRo0ePHj16/L/A0pDUpz1OI5RTvz7tcRoTmlg/9XmPU2CeENO4vuhxAsSXgifWor7scRxzK0vcgdcb9vP4m4cTKmTaW6uzIPMFkyLwWH3d4xgWMPJIUVKZ1nf0OIb5GERlJSLJ6zt6HAEJgamPvUTQfgSexoJZXu7nWVIK6fdO8BR+YksjCxza84WTIPGcINKC0mk/Ak8gtepRxwqHU6+Pbo6C+FltzMefiQAn2Ec3x7Dw81qrSGhlntdTq+P4YaxWJDJnjPV2vRH6sdejR48e3cKy939NwcJ5fdbjDNLiz7/6tMdp+Mk078dgI+RCTPsJ+Uaw+Mydpr2sGsDiw5mQvV41AIhq+OZM+7TxeeQgqle77GV1HqhVNndp1svqHECrFA2EoL1enYNlD3nxKalLe9t+BqBVwopz6bhlz69Ow1JDyhYkzQQX0p/3WdHjALNOQZlGqRTKTSxTekVI9zQUbBWK6mXEJLfdyDKTZyBx3r3ZxbwW1ctLmrlKJJaRyWbmTS22hJNFh7RrpVUAtFc0MZJnCKdJlo6wOCLvTnz5q1VaVkJEJvQqT0A/4c+mhcw641fBA36t3ssozBxXyPzWXB8Ze+BPs5jFGXWSSVe8au0BK4zSjPLb7RXJpTtTiWdl1C1l2JXKXLRVvx/7KJQC/OCN9mrslep7JpIA/hZwtfrep8emrUKkU1fZSX6TXjEpZsPXN64UT3zSGVaLbH1Lh2JpK9CrG+zVwk/UbIh4c7q0imfLVmmAXiEXvV6vmCfetKSGinZpimODV62QyhLiwavf5NIPaqUazpzMj/91RVr5nlYhv3KQX43rywsxssqPSlLDV9tJsomvefvz41MN33dFBX6wBFldp1cEgslaUsPh9wy4R2bFnVCsQ1qF/GqA/OoavSIWVbWgQK2GIKvI60Zwgx5w350T4Fecy2tyMuPiV6lmH1xQWXQkDNz3gBo/6VQAK7qcX4GQV0r1rfToC7sSMB/wgBVCyZFfXfo246Ks3B9oFCiUhfmFjuCIVqG90vzqUr3yE1sLSolEWoyR7kjquFYhFxVgky/i7STN+AzkpMCWd2bgrbAbA26Cee+iBN1oTouAkXH1gRaqO1HyGtuZhW2M4iIQTnPerud9wJQXIevgLMRJrUK9os15+yIGhiESz+/o+qbPk6IasYxiXrSJjixxfgzzzd0IY/Zx1APWYJ6weSPenko+AybW3SpctFUnHTrYH1tEZ2s/CErKTvJRZzJ5e8ghsDlNBxjO0Z+1VyBRxd+vztw8A84NQACD2Hkg/VNcVPu+m3PyDw7UqnNvkHmBKEEOx8cW8ilhZrb1cQFatZ4HPAbCsq9T/ArslAO2v+OSaqRVEARrfnUsHozBTs1453umnGLrG4hxLvWwLQKdEupbiWnnRXXerCNGwK+4e3DeOZXuh5q9uf8JrWpkY5BfcbrHGZBPKQViFElY39VVnI4BN8EKiIXpbtyi+VQwlV+CTpr9nafF3uzycYD13h2D2k65Qc5y6TjTDmU8D6GhrdJgHtV6VV+CpOKsBOnli5exRQU1Vkn6mABb9dU0bAN+BZwhsdZ1yNXcqvaLfuIebFq0+beXvxcbp08DtFXNkwGgV64brPSq5ug6hAylEMWef2S+74erCVOShn6qn7IgDE+fTFwX2CpEWsAYrGq20U5hrXv126hg2c4fIuPcyj+9iU6yk7Fv5X+sHAXEUrg/fzbTdomtAgC/cmp7lWZc/cZ9mC+VO1oVF1nO4onUs8ss93wy9wsrRvKfxyw/GYA/IM7mq3aB7EDRSepL/qp++TvJv0QUbw6pBfECpKWhDMCILcNMX2TZn/mLn/lg3T7j58qXolZdVnbGslLZZZLw2WyzfCoFu74V+CxjqXtpwvOx85qV6IvJtIh/YlAwkk+erOqjMVtfYxRLx1bKVvx9kx2kEd92gcSPBEqHFIKyFzIJIrhIPZnBOPyT55YXkufSquZs/Rcgg9n3qyq9zSiHSVtkm3M1yzARCYrKc0WKxEtrlSfBKSzGYe6HzzZfsVm3fgZrk4Zmavit3iebdplJ5Wabd4CHdBOwScTjNAYT94VaxbykWsezBPNVPe9p0NwDkooTAfKIz15narDFo9jU5tv92xcT+p7D703EVwwWi6KKsSJKnrW9ZlNbNSJ+3ZRvhHl0xTnGgxu/ySIYgJuyA8MkEy9mYUHh/jTT7jD2guhZ45+mtmoZShxNAJSUoFHk2PamHY8lmPVtURE/K7xJAQIjMAy1rYq9yNRCurvjcNXePohXChQMrrG0XZmHILE3leQry75AsrCjL0vG0tSfJriCHEiWHoAoqmfVqoa2igE3T4ANsWplCZh4hpmqtXR+LCqS8ICl9qcSlW1Z8arYk0X6hKEyomEMOP5D34Ad+Bbm2KWPznARY337Ks/ACioO9fhlXlagjSO+RFGlRaZ/+RnR0AOOC/H6yhOZOAIkVdN7FM/KtqdTIbLdbPKS+ZZXL54EmcEzw6J42joZzFedFxVwJDUcKi6EoBttx+PiXYhEJ4r9RDi7LICwNF81tgVZWZOUhJ9nqx8eFqBV5dl/fjGvitG/v9V2pQebJEJgpQJQS0G9HddG0pSR32rQue+nMXuyaGYDyKvOmtmfUIpvrIYd8vdtQhCDiAS1UkuWjtxNQJGdnr9/0/iZS4oa8SqSv9d1+yootjItoE6By6lMMLW+Z9Wf1NUdQSO2TjyxWovFg8zaWriNcxPKthVY+/qerqKJByQxlljXsgIulXhh/Ld+TMvKng2VyJATdBlNtApIwe8KIxRWKb3fDOYSZPXxrej+JETH0MRWpdFq/AFeZ0oE0t+cbtFjEKx6fdlVHFoPuI0FxCzrtZC4FisprJ2tuoAquAZ77zwozseAI70YBIFLsajM8r2+/zAGk7Lq19FhnM8skM/KUoGNcqLMB1ZZP7AJ5Ffub56hkzjvAdMIlQos1PvUs9JjwsAxyKl12eTPc+GsB8R69Nc3BSPPi8nxqGQJbpJz+tnhvmpnPCBhmTt7xZUzVnpmhgX8oFLUY53dnPG0VoGkhFJl5DXJB8Qgq72kcYdw0laREDN58O7HDST1skB+xenzJqTOALXqWFqShLJsum5LQ9v2r67qFdqqw25rQbBbKL2o4wmmrdyyo7ICtn4kCwqSEq5z2VaLMAYDAfaqk34Q2frBfBvxIxfi4lUevSmAi3JVfnZRr5CtH1rDB5KCt3z59p3LuKA2cIZLf+8JcMQDoqTe3ORSnUJoftVFe3XQAxKSg07xK7eETWsuWl92BqhVe6oDkrqlO6HmV93Tq0NsfQy+77d2+HKMgLdD7Nw1WR2IAYkvS0Gnt3QmjD9xYwDv2SrTT2O/ag9H36V8ahcLXGvJg24tUNrzgCSMBPCpW7vzss/Atbtlr3ZtFUiK45zezfoAeoX8qkOy2rFVKKkZv9r3bQBiHKFmgw7JakurCErqDSRlpAdHnInZB510xrZvaRVGyLa5fglVDrkzeVHsNFR/7AsGLOEWPrWH2APOEGytBHhibHhA4FPCvTyXcArMkiirbtirX1sFEXLJL8vknQfICujsfjnRM2LdvUN3Tf2t8zQFZiWCd8MPrgYg+j77hn7YRwGy4opaz1vXuEbdv0ozz3a6Ks21rDqgV6BVgi1YLSnDo68CzuPYHbBXwKuEFU9uyk+dw9yDsJJ6jSYTHxjgAfnUA993YV/ZS7BA2y6ednHbCjkfzigV7pGOS4aAnOHpc31gq2aK26b51C7YBLnoVb3uHwagVVjembRdGTUG3v7kegVaNRx+8531oS2AeZWsntdg/UFR3aVR3hw4gxKZ/7SDcOJi8eJH2X7VOfjBgCvxvJsWowcUnEP0t712pg2MsZ4Bg6fnFBbYKi4zLF/Z6ifRDtgkcrnzrGMQRWXF6J5ElrYe0o6Rt19RNPIQALYu0heiUyVF+2lw5FccN1l/woQ7ZhbAohMLxqBzhzGo+dVz2nYYgDpfNQf3xJ2i/SkDnb96SlmtsqAL0Cvwg9kdxqAV8Rnwq6dL9oFW1R0c/06+UFatj0FcP6g+3Mz/+2SyQq2qa0HHk4TzQdZ+rzLgorYtpqcauD8i0Fatqvbmn5pftR/SVmuXsifrS7iesUGMc+AMzh0WIet5HJOTs/fAygNW+Ffzq9bfQmxpLvpUm6L7m1p1R36luehzcQZrZ+0ysyi377CkCNfwuqqUT7Td2/YABGh+5WTtj8Gai4ZP4wd3q/ZqvXLuoleBjbm+Z6kpOlBhzD6BXwEXvQNvp1wNZPgknGHXViHGFe1pPx6Mdb79WWKcg30WdE7mLn4wl9R1ps+hV6BVwf5IG4PJvUv+auxLKuhz8Ks9D1hhrvXqDsuQiT+lLgU/WF8/MPY9YAU0uXeZ4vznSweT1Y8vqwMesALSHh7cYYqT+Ni+9gniwWNahVOc1OXJHcqDiS+5KsEP1tePiqNaVfErN/DuYK9CKdTjz3nhyq1jfg74lS6lbp31LPypEMiv6uvHBHrA+TFZkFpW9WV7+AF7JUCvHppfoa06vqIG+JVeAllftgew7Q7o1UNzhhO2CjGfYAuvOywp0rIawBhs/ZWuxundvIH24NZRyaT9LrHgBx2OsqqvHw9H2Pov5sBFxU473lZQb0xlzR9VWNpW1ecHoVstieQu9kpi8dLDFrjXqyFOgXgByuou8SDnPLrDp3IVzg5AAKbBRbDetYaMWUvGF5fZcRE96MLUrXnAYwC9Kt31GMRtWlr64LG5GHdBVvX1QwG0qkEXf7DtAmKcKvIgRbLbhN4Y5r7EDZ4f0l6BVp3v4o95hkjzK+D1CyYH7eVM/gG/ckViPeCCHPCAQZP/CvwgbpkBnzab0DZ78FYLqB9xX6AmZl2DWdU2piSd8g/eYl2Dzl/xgxuH/3+BvKqZvxkDb4fY2fcCNVT1plKt4J8vXQWKa1BWhBgY0I21qtIrXkYJtjQWbXbBnocgK5P8iqSed3skfjwLug8tK26/DYdDt9VkOMkj0CtjfpCkGTVQNnYms7ANllE1G76CqFS7WayqeWtkyA+mWcCd4uaq/P3+VcexwN1xq/1sZrt7ARrGPNeNREzoFUmLQAgDU43NbRVhvqftFOJbRe2m4UCvcJP1/GZZwej7QkndXlXQ1AOSOPdkwNc7jyjqtVv/AX5Q86sb5ya0TlEZ1pe3AG1VA7ZHwiIpORiqFbDJVbvlH3oeh99o20dpARTHzER/Q1s1hsEn1Bta9ArfnFr1Y20B81dv7k1jkKTSsYWhfZua2ioyD6dfgqu1sGaiaNVYvbws9VzqTXqVZg4Qf0NWtTmvArM+AfOhZpW0XnnLhh0wzyPMX10rK7DoDojaN2RT0VY1Xgy/CK1COnymTRbwhbYTowuIB6lbXplnGAHz5HqXbDMAW9Wcgr78kHHoyXfBP1CtcMvblrHATUCv0yv0fa4wNfoAB6v2ToKl6UQO7I/ZbHuj85bAPKBFV9h28H1fwpW+uSoC0Koze24dANMca6bu0j4IM2WgVxduDAA6hczTZALkgszCBgjE6on7ppJ7ZMFxds29MMZBPmUkmtnAJZmFTSxTfyqU+3575HEeYK+wBecF6wfR92F5m7nRB7gos7CFEQNZicC6w0wU8zRnaO4H0wL+tcQUS6jRPAu6jzgT9l3qGVayamivwE4JpUxEyFu4XqsALCuBuHj/TFqEw6iqASx2smagBo4+2343O/oAnxfxql0wMAmgV+2LCitTRdnItmP6BviUcUldwau2wAqtV3fxg5igO+9FUKcEb2Px3FW86hdgFkCvosk/45/hHipZWfPTYxBTN65ZPrXCdbxqA3GBtv1OXBTnnU++0hKLHgzzqRVu8YAVMOF+N1md+VR02qYlSTXNgp4Cy1yF887t86u/Rak3azwmCRh9/I23YNE1QKsaz9gcQzzFBqx34VcFztEfW6EBknJRUi19ZjfxqhXAXnH3/U5jEFdoHNQrkkL4YCetLfA9V2HcDMDb+eBOnAFt+yG9Qt9nMpO3ByNahSMDHM/d/OChlT/Ap0q31SQ2ZkFNjG3gV7YI7rGdtx6DdDf7Q1I5QD7Vom+5mVfVGDEdO9/LXqEf3JJKioWRSb5skQpfm6/aA8gKKc09VjNgngH84ManUtmpll/clFYBUK9EdI9VfcxDfjVZ+0FkCao9llDjkFZtveIFLx9LvVHsPfRK10Cu/CDLI3v2Qdt+YfSAm/OAhPm+vw7LSYoX+orB6bl5P+RXMAbvZK+QX+n/y0vs2bebta3O2zULC5Ja3sSbVB8QmeeWlefa/xLfs7z87+K02Ywzyumd9ArMONh2lmeJAEmpqPVX3bZVP6nn+Sz1qrVm/0A4jP3xUpy6tPLYh8vqeUcRF9Qtp3ewVyNdh0ynWeLw2ffwtfUKil1bxTwJoRzxEl3q6WcFSCmOMoYy9IE7nZ3LGoWZw52WQvst4D68M8W5Uq/fwyFYqnZtOmCLrS/jaeKNXogVoSsmlsTW4nEUWOTF93wcg2fN0CjGaaW2u50tluM/maPr4qqCS/sODeO381W+DCywS3kSFPEilRLtZhqUHlmy3ErzSXo+FB3hCsiWu+iR+E8Rid/CuFdF/7SuVDsxYCoDb4kJMjqNf/JIu5g4cbI53Pj+n2YljejJwQ+2Z6/G2EfmY/ZdKRRgZkftr1bcmbHxI+r9vCx8+Z4xYiV6LXyaiOIvPMbipmUDqeRt8isscUFT/ot7bEIAWrXlAWNJs/RnGcogS5cgKm2rElFRluZvnekx2Bq/Imk+dYAh1IICSxXcY/XS9owNy2XixWwSJQVoFdWru0Gr8OYigG13W+1KBXSK2rWghkPV4kqyX+zEgMTKMisvksj6WaBxr7Xq4s+MZY4AvWrPXv21EtwrpcLHPboJ73hAVO7Q92SUxS8/VqKj9zigHtqqi6AnLrFTeH1tHGBJ+cfsoxLVjAd3yP6gB9zRmdiTyIuWcRZhshG06or1tyMdebRm24HJYNJqgINwpmzdaavtWVvQqt0Zm7iotIHk00pUV1mCnxhXt7ekVz9VJi+TSENVSXfzV61gL7fO/InnV1oU68AmlNPrloikUxd3NmjBXtWNPiBalfbsFaSEpcTtriUDbM/YLAgLLQhhqitmFT4jOYbLVyGVbit5BpCUi2scFhCtlh+42if9BFkl3pl6hhuxrVVzP/fj3zb+zMckzPVt/dkUZDU1zq/STNjV3MzSTzjHD0OvrG55DG7P2PxNt98XpvZuCRmwJNM0v9J5dDENtRVnxSDwMIqoOoy0KqttXrWErx3c9jaRX9GpyW0acY3Dxvo+P8mqBWxzLylxLtXox7KFQ7l1g4A35riOQT9YEbbpOqWdrhNDYwvXWk7aY70GZ2wOAmSFzsrUGBwBS8BGc+tkEPttT6M3l21x1UHLWgVvLpTcLg110QPfR4Ujw8OejuG6ifY6A6IHbHcbUwxB1MBMl+JKRY/WebbbTRhnbFqOCNgE3oBjIIcMOsVtCADqywMAvbJVuTNHbwpt2yoEtkO2nSy/NacEHF3x02bvL9YziHY6eoOtEm1n8BfMC2BgyPCmkQ6+D0K9M+tmcEMvm+uUpHHkfGh7jPybH/5G3D4+l3o3pNtiHKQdosH0BvvETvFtdPQGrVKRN7E8a/Lp4RF+No6T3DJRLL/EDfv1LhD1HRcD7FSAvu/854adl1ux7aBVM0EpDWjwToOA0q/f4xfcX5rJxeKO+i6GI1f+Mc3RG6ol8Ha0V8ZlBWZ9xh2KXwN9FNSBm1KfOhCWCs+EqDBhCG/gWt6+4lPNbAHEg1xdPiFwDqBVHzSJZBTBDxwlHPFbHxLKlWuoBSHYq3fgV1dxUbRTl1D+uUXfVGnaD36CWc98QIgHfVufhWHoY5cQz1ATULBXIPlrdtkCnRLqBPPcA7hcoRTY9vraDICtu/7oZfECsQKIZLGE76U+gSPxI2GwxIR94hZVl+dFK0ldVGWt60VLs7v3gQccHBc+/JOOuR6gy1gXvF5orwiuMDrDPPehZWXWD55m62BNB5nBEFGTnsv4FVp0zKNfagXGn4Hrgl6Zi3FOZhZGqXQcQx5QA/QKZXWBXqFOuY193yaY9WWWX+3N2GwhlaUugzEG3EER57yaDidcN4OdJa75uJgVAJUz5wdPrrEZhZIa1SpwFzFuWew0bACp8+gQPF43ipBf2eb06qRW6bhLVwwZREUQG+nVEjwwltRcuxYLbbsamOoUv10JswPQqgE1XY+KflCpJnlR4ieqmu+7FiAreClDMc5JDziKpSPMbyWFiRLkV2dkRcJIvQFLuGV9H74UxGZG+BV6wKOfGtoqUzHgBnAX0/Px4MKPOEjqxsphg/zqjAecOmY9YA2c4OSndwUEPuXiSshbdAqBqTK3NCGr07wKSI1hD1jhPL/CuA9nRm/PKzIL/pIJvTprqwZFGxM6SzYBWR3PM/xUfKop/ToJYknHxBg8rVU+8Kp2VmSc5lfIp1xjW33r3UZvl9VpWxXLgZO1IirN27lysoN1NiHwqYG5Tl3/cgwRbpXV5ylehcVxgzZsFWKB/Ao/7D2BAJ+yzfbgwOk1nB+sL6/D6U5DGC4XLXhAjWoiKtgjPSRFlmCs86nGHHe+H9xWJwNs/cC+yyv404FjOrD5BfhB3KJqMt76BxbY18W9Ppo5CJwGEfix1NfXAD3gcbXB7L95tr4G2ivXjbb0Cga94KBT5kZfhbkV3egHwQMe7wnTQmZhG2CvEoGbbNXXaz5ldPRVYFY0uIlfnctXOVcshbgAMAYjITaaFKeydMt2enDg+ip+g23HWtD/n1ZhebsXuG5SN2ckfqVT7bwkQ85wvV6dza2LVtj6L7Rt54lFwIwvdUWszE3xqV2AXmFe9Mo8w7kYcGB6Nm0Py7igtp1Y8QJ7mtlG+dQuxsAZ7DJLr6pvB15VHs8SxlNHFG19xmtgMw47KHwr4oonuXmL/gvQK2C3V01xo61yLfJy6OsHabOLG9Ys4NT0zxJfAg4gGGJR9QYEq+SzN70qZwn4wQfxSUv97BsP8L1cvCxxGRNXIKtrokusWZDexLLge+/Hk6VStIBTvEKYvcXjBL4yoYbfSuHOSzzIvMknPrL+NnSAH/jDMNhfh7OrRjmY9aErSoHfg9X3+pyr2Uy5eDoY4E99c/sPoD7gDe768vpdbaPA9X8DWB31U246wBFP4LQUrpp9D2eqzC5nbr6AT9NW9hYU2Az9BQ+sH8QbvAvPbr+FG9v+fZkPNfuAA/4r9X36C56hn3g19J9Zn+ArwQuoj6tqIP0koIiqxAq/9c8v3vFQP1Y9Wj1+462+qe7RSCgdwIvpf6Z+QvWkW75q1Kf19Tu+yldwwQx3DZbjWAZ81iefq2N18ovVEzRWD157u8bGHXC6+RI18K7q7kvOVkf4m/Ur4E11mlePpRcXuRJCfvBroY8EvBMcyEJ/w0N4CV9wrJ+gr/FZV9/iCXzV1/pV8LQC3rG+qO7XP/q08dn6Gv4cvCSe4r9f//H6uxZAjx49HhhL3OidkbGJnWOfGbh17hkJkBS8gB9iK732kpwPjwVhaYp5BgyyjoHkMpGF7+deNrlHG8FHxCKG9w+SWizHG0vb90DySCRWzOI/GU0ecJPxO4DEE2wsiDIivnWiBiuVpWTLxZJ5nN+j98zDYeFn0vM1DV0u0lPLeJksq2ljX8wSw8sGngE/cRbI9Up9wk4MrHjqaGUiluCtrJ57cJBJsB0xH080MEl1z9+0cCKTbRCeBfFU0IYTLPDUxPNTv5CR1e48w2MipDxpqCJMilLmuZUl0T2arz0cfNq4KgJsVeDFjPnT5PLMTQeQO7xpSWCcCV27C1y0lP9BDwha9d5wAKaybuX3T/I79P99OIRfNm24Ax3LRF2O5wnza1cfH2zqNl3eDGShEhXIrLzHBn8PBqwPbbh2B8iCRKFiQUVioOT56UCsKPJ0fv3Mmx+DUCMrjmMf26X+95QKwPIs+0xjRhanKxiYL2lU5KlveV7eekfNx8QoBV6ZxvNzioKTWn7KUnhqq20PHxkjQoBZnt+0FjOlOBv0nxWUxpIsDPS86dGjR48ePXr06NGjR48ez42Xl/8B3gpMeM2cWAgAAAAASUVORK5CYII=)
Two parallel light rays are incident at one surface of a prism of refractive index 1.5 as shown in figure. What is the angle between the rays as they emerge ?
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)
Two parallel light rays are incident at one surface of a prism of refractive index 1.5 as shown in figure. What is the angle between the rays as they emerge ?
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)
is decreasing in
We should know the formulas of differentiation. And, we should know the condition for increasing and decreasing function.
is decreasing in
We should know the formulas of differentiation. And, we should know the condition for increasing and decreasing function.
The interval of increase of the function
is
For such questions, we should know different formulas of differentiation.
The interval of increase of the function
is
For such questions, we should know different formulas of differentiation.
In experiment of the potentiometer wire
of length 100 cm has a resistance of 10
, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance. A Source of emf 10mV is balanced against a length of 40 cm of the potentiometer wire. What is the value of the external resistance?
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)
In experiment of the potentiometer wire
of length 100 cm has a resistance of 10
, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance. A Source of emf 10mV is balanced against a length of 40 cm of the potentiometer wire. What is the value of the external resistance?
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)
The function
is
For such questions, we should check the rules of increasing and decreasing function.
The function
is
For such questions, we should check the rules of increasing and decreasing function.
If the function
is decreasing in its domain then ![K E](data:image/png;base64,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)
If the function
is decreasing in its domain then ![K E](data:image/png;base64,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)
The function
is
We have to see the rules for a increasing and decreasing function.
The function
is
We have to see the rules for a increasing and decreasing function.