Physics-
General
Easy
Question
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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)
The correct answer is: ![mu subscript 4 end subscript equals mu subscript 1 end subscript](data:image/png;base64,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)
Related Questions to study
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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)
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,iVBORw0KGgoAAAANSUhEUgAAANgAAAC+CAYAAABXjcGqAAAgAElEQVR4nO3dWZRcx33n+W/cPfdaUfuKfd9BkYBEUaJJSSYtuW332KPp8ahHdp85dne/dJ9ZXuel3+aceegz0+6R22r3WDLVkmxRIimKIkECIECCAAhiLxRq3/eq3O4a/ZAoECRBG1morAKg+JzDB1Qlb97Myl9G3Ih/xBVSSomiKBWhrfcJKMrjTAVMUSpIBUxRKkgFTFEqSAVMUSpIBUxRKkgFTFEqSAVMUSpIBUxRKkgFTFEqSAVMUSpIBUxRKkgFTFEqyFjvE1AeP2Ek6VnwEUBTXCduauiiMs8lRIUOvEpUwJRVF0rJR9Me825Ic0KnM6lT70DSgNWOg6Zp6LqOrusPZdhUwJRVF0q4Pu/x+lCB8VzAcw3wdD0cqAZdwGrmwLIs4vE48XgCw3j4Ps4P3xkpjzxTEzzfHqfO0Tk35dK7UGS8EHJ2RvJELXTEodpanefyPI/SmmFBLBbDNM3VOfAqEWpFs1IJUkrG8iEXpz1eGchzY87F9QN2pyN2pyVbU1DvgKU9eLdRCIHjxEgkSi2ZpmkPTXdRBUypmEhCICVZL+LkaJGf3srxxnCBZjvk2Qb4emMpZKsxAFIKmUMymSIWi6Hr+oMfdBWogCkVF0aSiUJI74LPexMuFyYLjCwU6YxLvlAL+6tLXcYHDZqu61iWRSqVxnFsdH39r4DW/wyUx56uCZoTBvUxndakQY2t8QaCW0se4WxILpTsq4INDsQfoOEJwxDXdTGMPEKA42ho2vpO9aoWTFlzbigZWPT5j5cXeGO4wJIb8Med8GQtdCUe/PhCCJLJJJlMBsMw1/V6TAVMWXORhHwQcWvB59RYkXfHCvTOFtidkRytg4PVYOsPNvhhWRaO45BOp9c1ZKqLqKw5TUDS1NhTZ5MwNdKWxk9DGCx6eJMBoaQ0ymiXHrsSvu8jpcQ0TRynFLj1oFowZd1l/Yjrcx7/4dIibw7laItJ/rAdjtU9WEsmhMA0TdLpNMlkal1aMRUwZd0FkSTnSy7PepwYyfOT3iUarYgjNZJvNEHCWPkIo6ZpxONxEokEjhNb80EP1UVU1p2hCTK2YG+dRdwQLHiSj6YLnJn1iemlEcaWGBgryEYURbiuixAahmFiGMaahky1YMpDxY8ki27Ev/9ogV/0ZSn6Af+so1TLWG2vvLtoGAaZTNWal1Op9WDKQ8UQgrSt8QebknxnR4aEZfDGlOBnY1AMS4XEKxFFEblcFtd1Wcs2RXURlYeKEGAKwcYqEwQseCEnRvOcm/epsSQHqqHJKX90MYoiPM/DdYsYhoFt22sy6KECpjyUTE2wKWPyL3ZnKISSXw1G/M1ggK1ByoD0Cnp5URRRLBbRNA3TNNekXlF1EZWHlq4JEqbG729K8nubUiwEGq9PCI5PwUp7eUEQUCwW8TyXMAxX94TvQbVgykNLALoQdGcsjjVLJgsR5ybyvDfr0xaD7mT5LVkURfi+Tz6fRwit4q2YasGUh56jC3bU2PwvuzO0ZxwGCzq/nIDhAvhR+ceLooh8Po/neUTRCg5QBhUw5ZFg64INcZ0/2Jhgf0Ocl0fh7CyMFMo/lpTyduV9kWKxWNFRRdVFVB4JmgBLCHbX2cy4EdfnfS4uethaRL0Njl5etYeUEtd10XUd27YrtgpatWDKI6UhrnN4g83vbUwwG5q8Pye4lYPCCsYrfN+nWHTvFAZXggqY8shpTRp8szvB/nqbpUjnh0MwtoKuIkAYBuRyOXzfX92TvE0FTHnkWLqg1tF5vj3OtlqHSwtwYR6G8uUfqzQ3VsD3/YoMeKiAKY8kTRM82ehwpCGGbZpcWBBcWSyNKpbT2Vuu8PA8jyAIVv88V/2IirIGBJC0NA5ssPmjrSlu5Q3em4UFH4IVNESVGlFUAVMeWZqAlqTB080xOjMWs77OW5OC+RVcTvm+j+uWqjtWM2QqYMojLWNpbK02eaLRxjJN3pqC0UKp8r4cYRji+x6+v7qTzypgyiPP0QW/3ZFgU7XN+TnJtUWYdss/ThiGFAoFwnD1rsVUwJRHnqYJmpM6e+ps9tY7fLiocWWp/ILgKIooFAoEQbBq3UQVMOWRJyjtUrWjxuLplhjDRZ3ri6VrsaCMnCwXAvt+sGqV9ipgymNjY8bk+Y44kdC4lYOeLLhl5kRKeedabDWogCmPDccQNMYNnmpy0A2T41OCxRWMKLquh+t6q9JNVAFTHhu6KI0qfrHZoSZu8eE8jBUhX+aYRRAEdyo7HjRkKmDKY8UxBF9sitGWMhkuSHqyMFNmby+KQsIwWJXBDhUw5bEiBCQtweYqk121DjdyOgP58pehLK8Xe9DBDhUw5bEiKG2YszFjcmCDQ19eMJAvTTyXW6NYLBYfeNJZBUx5LHWmDI40OEwUBf1Zybxf3p6Ky/cae9DSKRUw5bFUZWtszBh0ZwzyUuejRVFW+dTytgJBEDxQK6YCpjyWlteM7a6xkJrB5UWBW2ZOpJQEQfBAy1hUwJTHlmMIDtTb2KbB9cXStgLl9vaCwFcBU5R7cXTB3jqbtK0znJeM5iG7gjmxByn+VQFTHlvm7SLgxriBbWgMFDRm/fKG7Je7iCsd6FABUx5by7eqbUsaNCdNbuU1pspcxnL3QMdKQqYCpjz2mhI63RmTkaJgxit/0nl5RFEFTFHuoTGu05k2GS3AtCsJVrAxzkr3TlQBUx57G2I6HSmDeU8y40pyZY4mRlFEEPhIWf58mAqY8tirskvXYUlTY94XDBfKW4i5PB+mWjBFuQdTF6QtndakQSR0xl2trLKpUgsWEEUqYIryGYLSpHNHykDoOhOuKCtgqgVTlH+EpQnakgagMVksr/D341HE8ofqVcCU3wiWDq1JHSkE40VZdsCklESRVAFTlHsxNUFr0gChMVWUZe9hXwqZasEU5Z4sTdCc0DE0wbwnKUbldROB29Uc5Q3Vq4ApvxEMDepiOjFD4IWw4JW/pVsUybJHElXAlN8IuhCkLI2EKRBCMOeVv3+96iIqyucQotRNTJgatiGY88u/7ezyYEc5Vv0m6FEuRzg/jyzkkVIitI8zLGWE9DwQGkLXEbqO9H1kFIGuITS99DjfByE+fkwYIMMIkAjDLD0mDCGKELqGMExkFCGDAKIQYduAgDBE+j7CNEqPQSJdD6REc2wkAoIA6RYRtoMwSm9HVCwghHb7OKXzkb6PiMfRa2rQq6orcsNspfKShkbK1MgGErfM7t5K5sFWPWD+4AD506eI8jkAhFkKBBJkFCKLBdB0hGGWwuO5pbAYRukDLiXSdW8/pvQ46XnIqFRAJmy7dKzAhzBCGAbCMpFBUPpZFCGceOkJgwDpeQjLLj0mipDFYuk48QQgS2Eu5BHxROlcpSTK50HT0GLx0vl4LtJ1EYkE9vadOHv3o6fTdwKpPDpihiBuauSjCF9COWOJUpYfslX/hBQ+eI/pf/d/AiAsC2HZt88uQoZh6YOqG2AYpXbb95BRhLCs0r+j0gdaGAboBmgaeG7phWl66edRVAqGJkr/1nSk70EUlVpHyyq1XkFp32Rhmrcf40MYlhYKWTaEQenfQYBwHNB0CINSa6VppcdEpd/L28vGk89/Az2RRNu5E2EkV/vtUyrM0gW2IfCkICgzLKVwrXPA9Kpq7B27MFpacLbvxOzqxh8aonDqBO6NazhfOIrR1ob0fHK/ehWjoRtry1aszi5yJ94mGBnB6uzC3rWbKJsl+8tX0JtbsLZswd69j9zrrxJOTaHX1hD/0pcJJicpnDmNDHycPXuxNm0hf/IdwqlJtHSG5PNfJxgaonjlEsHwELGnjmG2tOLeuI7f24OWTpN87hsEk+N4N25QvHiB5HNfx9iwgXBhnsJ7Z9Bra7F37aFw6gToOpHvlr+5g/JQMDWwNA03LK/gd1m5f/ZVD5hwYhj1G7C6N2Ft34HZ2k4wNopWU4O9YyfO/oMgBMHUBGZnN/bWbZjtnUjPxaipRU+liR06DJaNDEOMhkbsnbsx29oQpoFeVYVeU4u9bTvGhgaibA6jthajvQOroxMRj6MlEug127E6uzCbmglnZ9GrazBb27C3bi+1rLqOtXU7ZksLVlc30dIienU1scNPYG/fAZpGuLCAtWUrRnMLVkcnxQ/OIgMfWSyWrhuVR46lCSy9tMPUSu7lXK7KjSJKSTA2Rv7UCRZ++P8TFfIkvvpbmB3tuFcukX/nOLHDT+AcOAQC5v/6PyHDkPiTR3EOP0Hx3FkKp05gb9lG/NiXEKbFwvf+Aum6xA4eIv6VZ8mfOkHhvdNomQyp334RdJ2lv/sJ0fw8sYOHiT/9DLl33qbw/hmEEGT+hz9GaBr5E8dxr17GOXSE2BeOUvzwPPmTbxO5RTL/0/+McByKFy+QP/k2sSNP4uzcQzAyQrQwj8zliAr5UndUeeSUWjBwVzDRDJQ9uCXk7as2iSSMQsIVDEXerfDr18n+4G8wamuJslmixQWsjZsx29oRukHuxHH0RBKzswureyPFDy/gDw6g19fj7NwNQO6d4whdx2xrwzl0hMLpUwQjI2AYxL/4NNLzKF48Tzgzg7VxM86uPRQvXSQYGUIKQfK3nifKZvF6buBdv4a9dz9W90aC0VG8G1dB04g/8yyyWMDv76Nw9n1iT3wBo6kZXI/CB++jOQ72vv0Qhvh9tyh+9CHh7Cz2kSPEv/lPsPcfQEulV/w+Kevj7/pyvD6Qx3UDvtEY8YWa+/usCyFIJlMkEglisdh9P58BpXBNFxZ4c/g8826WUK58w/vGgYtsmh0nMT+LacfQa2qwOruICgX84V4EYDS3YGxowOu5QTgzjZZM4ezZh8zn8UeGiRYXcHbvRd/QiNd7k2B8DBGL4ew7gPQ9/MF+gtFR7O07MOrrCSYn8Pv70NJp7C1bQUr8gX784SGsrdsw6uuJlpZwL19ES2cw2zvQYnGK164SjI5ibdyEUd+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=)
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,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)
physics-General
Maths-
Maths-General
physics-
A projectile
is thrown at an angle of
to the horizontal from point
. At the same time, another projectile
is thrown with velocity
upwards from the point
vertically below the highest point. For
to collide with
should be
![](data:image/png;base64,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)
A projectile
is thrown at an angle of
to the horizontal from point
. At the same time, another projectile
is thrown with velocity
upwards from the point
vertically below the highest point. For
to collide with
should be
![](data:image/png;base64,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)
physics-General
Maths-
Maths-General
physics-
A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448515/1/928852/Picture14.png)
A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448515/1/928852/Picture14.png)
physics-General
physics-
A particle of charge +q and mass m moving under the influnce of a uniform electric field
and a uniform magnetic field
follows trajectory from P to Q as shown in figure The velocities at P and Q
and
respectively Which of the following statement(s) is/are correct
![](data:image/png;base64,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)
A particle of charge +q and mass m moving under the influnce of a uniform electric field
and a uniform magnetic field
follows trajectory from P to Q as shown in figure The velocities at P and Q
and
respectively Which of the following statement(s) is/are correct
![](data:image/png;base64,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)
physics-General
chemistry-
The products formed in the following reaction,
are:
The products formed in the following reaction,
are:
chemistry-General
physics-
A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions
and
is
![](data:image/png;base64,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)
A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions
and
is
![](data:image/png;base64,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)
physics-General