Physics-
General
Easy
Question
The time required for the light to go from A to B, when a ray of light goes from point A in a medium where the speed of light is
to a point
in a medium where the speed of light is
as shown in figure, is:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/887025/1/1047186/Picture125.png)
![](data:image/png;base64,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)
The correct answer is: ![t equals fraction numerator text a sec end text i over denominator v subscript 1 end subscript end fraction plus fraction numerator b s e c invisible function application r over denominator v subscript 2 end subscript end fraction](data:image/png;base64,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)
Related Questions to study
physics-
It is found that electromagnetic signals sent inside glass sphere from A towards B reach point C. The speed of electromagnetic signals in glass cannot be:
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)
It is found that electromagnetic signals sent inside glass sphere from A towards B reach point C. The speed of electromagnetic signals in glass cannot be:
![](data:image/png;base64,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)
physics-General
physics-
In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of
so that light incident normally on the face AB does not cross the face BC is (given ![open s i n to the power of negative 1 end exponent invisible function application left parenthesis 3 divided by 5 right parenthesis equals 37 to the power of ring operator end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of
so that light incident normally on the face AB does not cross the face BC is (given ![open s i n to the power of negative 1 end exponent invisible function application left parenthesis 3 divided by 5 right parenthesis equals 37 to the power of ring operator end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
physics-General
physics-
A long rectangular slab of transparent medium of thickness 'd' placed such a table with its length parallel to the x-axis and width parallel to the y-axis. A ray of light travelling in air makes a near normal
incidence on the slab as shown. Taking the point of incidence as origin (0,0,0). The refraction index
of the medium varies as
, where
and r(>d) are constants. The refractive index of air is 1
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556725/1/1047168/Picture119.png)
The
-coordinate of the point A where the ray intersects the upper surface of the slab air boundary is
A long rectangular slab of transparent medium of thickness 'd' placed such a table with its length parallel to the x-axis and width parallel to the y-axis. A ray of light travelling in air makes a near normal
incidence on the slab as shown. Taking the point of incidence as origin (0,0,0). The refraction index
of the medium varies as
, where
and r(>d) are constants. The refractive index of air is 1
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556725/1/1047168/Picture119.png)
The
-coordinate of the point A where the ray intersects the upper surface of the slab air boundary is
physics-General
physics-
A point source S is placed midway between two converging mirrors having equal focal length as shown in figure. Find the values of d for which only one image is formed.
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)
A point source S is placed midway between two converging mirrors having equal focal length as shown in figure. Find the values of d for which only one image is formed.
![](data:image/png;base64,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)
physics-General
physics-
A U-shaped wire is placed before a concave mirror having radius of curvature 20 cm as shown in figure. Find the total length of the image.
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)
A U-shaped wire is placed before a concave mirror having radius of curvature 20 cm as shown in figure. Find the total length of the image.
![](data:image/png;base64,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)
physics-General
physics-
A convex mirror of focal length 10an is shown in the figure. A linear object AB=5 cm is placed along the optic axis. Point
is at a distance of 25 cm from the pole of mirror. The length of image of AB is
![](data:image/png;base64,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)
A convex mirror of focal length 10an is shown in the figure. A linear object AB=5 cm is placed along the optic axis. Point
is at a distance of 25 cm from the pole of mirror. The length of image of AB is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYUAAAChCAYAAAAoaaPcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADN7SURBVHhe7Z0FeFTnEoZxiheHBilQ3N2KU6BYobjLLdZSrKVIcQnuXqxQ3Io7FC+SIsEhQIAEt+DEvpvvz9lwdnN2iWyShcz7PPPcm93z79LsZub8/8x8EwOCIAiCoCFBQRAEQQhCgoIgCIIQhAQFQRAEIQgJCoIgCEIQEhQEQfgk8fT0xKJFizBr1izcvXtXe1T4EBIUBEH4ZPD19cWxY8fw66+/IlOmTIgTJw5ixYqFatWq4cWLF9pVgi0kKAiC8Emwa9cutGnTBgkTJkSMGDHMLHHixDh69Kh2pWALCQqCIHy0+Pv7Y/fu3WjSpAmSJUsWLBiYrHTp0nj8+LG2SrCFBAVBED46eEy0Z88eNGjQAEmSJDEMBLQMGTKgVatWOHv2rLZS+BASFARB+Kg4deoU2rZti7hx4xoGAlqhQoUwZMgQnD9/XlslhBQJCoIgfBQ8efIEw4YNUwlko0BAy58/P6ZOnQp3d3dtlRBaJCgIguDQvH37FsuXL0fRokUNAwGtYMGCmDZtGh48eKCtEsKKBAVBEByWc+fOoWnTpoaBgMZgMGPGDHh5eWkrzPHx8VG7hiNHjmDVqlWYOHEi/v33X+1ZwQgJCoIgOCRsPMuWLVuwQBAzZkw4OTmpoyQ2qJl4+vQpTpw4oXYVfK5du3aoUaOGChypU6cOWt+vXz9thWCEBAVBEByKW7duoUOHDoaJZPYglClTBvPmzcOWLVswefJk5fxZcpolSxakSpUK8ePHD7ZOb7xesI4EBUEQHIaNGzeqO3sjZ84dAktMs2bNikSJEhleExIrVqyY9m6CERIUBEGIct69e6eOfMLj7G1ZihQpUKJECZWfmDRpkvaughESFARBiFLu3LmjGsyMnHlIjfpG7GhmriFfvnyoX7++yh0sXLgQhw8fhpubm6pMYiWTYBsJCoIgRBlsRCtbtqyho7dm7GDOnj07ypUrh4YNGyrxuzlz5mDv3r3w8PBQ0hdC2JGgIAhClLB+/Xp8+eWXho7fZLzzL1++vOpgHj58OP7880+ldXT58mW8efNGe6Xg3L9/HwcOHFCy2dwlCCFHgoIgCJEOewuM8gfcAQwaNEj1FLC89Nq1a3j27Jm2yhxvb291JHTx4kVs2LABo0aNUsdQJUuWVKWszCPwNVnaKoQcCQqCIEQafn5+ynlzzoFlQODMg0uXLmlXmkOF0zNnzmDbtm34448/8Msvv6B27dr46quvEC9evGCvpbeRI0dqryKEBAkKgiBECuwuHjhwIGLHjm3mtNlX0KNHj6AhOLdv31YKqLNnz8Zvv/2mKobYm8ByVP26kNoPP/yggpEQMiQoCIIQ4TAg9OrVS/Ua6B02f2bXMctROSCnePHi6ugnefLkZteFxliJxGR02rRpUaBAAUyYMEFJbQshQ4KCIAgRCiuC2rdvb+jAaZ999lmwYBFS4y6DqqkMJnXq1FE7Du4w9u3bp+Yys/9BdgmhQ4KCIAgRxqtXr/D9998bOvTQGgNA3rx5UbduXbXrmDJlCv7++2+cPHlSyWoL9kGCgiAIEQZzCDzOMXLyRsZ8A+cp8+iHVUTUKRo7dqySv6Dzv3nzpgzgj2AkKAiCECHwLN8yqaw3ituxT4HOn3f/vXv3xvz585XM9cOHD1X3cVga0biGfQqU3d65c6f6/0LIkaAgCILdWbBggXL6+iDAHQOTynT+nI7Gu3/OTg7Pnf/r16/VyM2tW7eq3oc+ffqgefPm+Prrr5ExY0b1vtKnEDokKAiCYFfo7C2H6TMfMHPmTKvDcGzBZDHX8eiIparsUmZCuVatWkrxlLuNpEmTmr2f3nj8JIQcCQqCINiN06dPB5uhzOYy7gw+BJ0/h+a4uroqHSMeJfHOv169esidO7cKNB+alWBknM0gFUghR4KCIAh2gWf31CnSO2Q6cXYwW8IpaRTDo/4RB+VQ1K5Ro0ZK3jpNmjRmrxFW4/EVgwk1k6RPIeRIUBAEIdzQ6fKOXO+U2XvQokULXL16VclTcI5B586dlZxFkSJF1Jl/ggQJzNaE1jidjdVKfK0qVaqgS5cu6n14hHXs2DGlnfT8+XPtXymEBAkKgiCEG1YaWTpsNqXRWYdkROaHjOvTp0+vZiVUqFBBlaqOGTNG9SlcuHBB7TyYdBbZ7PAjQUEQhHCxffv2YInl8BjVTQsVKoTvvvsOXbt2Vc5/5cqV6s6fqqhCxCJBQYgybp/aiy0HLuCd9rPw8cGpaYULFzZ07raMxz6UzqbKKauIevbsqaqTWFrq4uKiKo1szUsQIg4JCkLU4P8I05vlQPpyv+LCc9nyf4ywouenn34ydPomo+Onumn+/PlRtWpV/Pjjj0qegrsLDr+hPEVonD/f89GjRypPwZ3D6tWr0b9/fyxfvly7QggvEhSEKOHlhWUomyzAccTOhjF7b2mPCh8T69atC5YoLlq0qJK67t69u8ozsLqIcxDCkuxljoDzFXbt2qWa4YYOHapyCRUrVkTmzJnN3rdx48ZSYWQnJCgIUYAPtgyojtjaH3SB9n/AeLaW4KhQ+TRPnjxmjjlLlixqWlpoYGLY1J9AZdO5c+eqGQqcvcyu5Bw5cqiB/Pr3MbJKlSqJKJ6d+LSDgt873LrggiNHj8P1wmW1XVV29QouXjgHV9czOOPqinPnL+KauwcePn2pLRQiEv97u9Eo1/sO1DhpymPJpdfas4KjwyMcDq7RO2VqHPFu3hqm0ZmcrUxto7/++gu///676k3g0RIF8JistqWVZMtY5XT9+nXt3YTw8GkHBZ/nOLByGgb36YJviubAF04Z1PmmU4YvkbtwKVSp9i1q166J6lXKo2iBfChUuhra9xyKv7Ycw1NpgIwg/HBidkekNPujjo/ag7dJwvkjgfOQLXWN2KNgguWh1DRi0ph3/lRKZb8Cp6fZqzGNx1bcRXCHwLnMzs7OKtcghJ9ocnz0Cv/OaI/PtS9UkiKtsHL3MbievxRw53IRZ08exY4Nf6F3s7KIx2vipUfldiNx4q63tl6wG15n0a1ieiTOWA7N6xUI+iNPVqgF9t3VrhEcFs5K5pm+6XOjpUyZUslRcG4yJSlKly6tjpIsA0dYjLOc2Z/ATmkO6mF3NJPKPGpivoEBSLAv0San4H9jOcqlDNyaZmww0fgM2/c5dkxsi9TaFzJ/0zFwe6s9J9gFt61DkSngd1tz7D+4smcycsfTHEDM9Oj250lIHZJjw7JRk8M2GctLw9OcxvVscOMYTspccFdBaYpVq1YpLSXmGyiIJ4nkyCHaBIV3nutQLW089SV0qusMD2tH2O/cMarBV4Ff2DgZ0HvVVe0JIdz43MfUppkRI3FprHQL2IW9voReldMFOYdMdQbjqqQWHBb2DmTNmjXo8wqLcfYyu5KrV6+uKokGDx6s8guHDx+WuQcOQrQJCt6ea0MWFOCHg3PaIbH6EsdGxa6L8Ep7Rggfz07PR8H4MZCrzUw88OEjPjgwpS2Sx9ScRoJ8mLzfU10rOB5sMNM7eFtGZVTe+dP5szeBekRr1qxRzp96RCw3FRwTCQrB8Me/C7to+YeYKPW/mZBTS3vwDmu7l0CMWF9i5NYb2mMBIdh9I2pne3/2XKzzIoh8meNx9OhRJT9h+pxorBRi1RC7knnm37FjR9WbsHnzZqVHxG5nDtAJix4R1/HYiAN0KG63ePFi+PioOwkhgpGgEAwvLPq5pPbFT4iGznsC9g5CePHz2Ixv0sVE6q+74bzZoK2XWNa1LGJqjiZO+qpYc00SOY4Ez/ItS1CZA5g9e7Y68w/L4Bw9dP7sb2Cj2/Tp09WOpHbt2siZM2dQroLB59kz6WaJDKJlUMhQfxwea49bcmvvFJRIEfjFT5CtNv6WQ2474I9D45sgboy4aD3jP+2x9zw6OgX5EpoczmeoHxCIJeHsONBhW+4SRowYoT0bcjhzmTsI3vlPnDhRHStR9I7T01hhpH99S/v888/VrkGIeKJlUEhbsTv2n7kCt2vXcf1GgF27hqvnXbB8Qg+UyJAAMWInhlO+api4+aLsEuzBk//QsXhyxHSqiz1GIpfvbmNknffTulIXa4d/pTnVYejWrVvQZ0NjsvnWLWNpEjp+Dt1nI9mBAwcwZ84cdefP2cy886fzpx6S/vVCauyPECKeaBkUYsZOgHRZcqNYqbL4+uvSKJw7MxLovnwpclXD5K2XtZVC+PDHxXX9kS5WbNQYfVB7LDjuWwYjc3ztM4ifAb8tOye7BQfg4sWLqg/B9LfBwTkUtCPsWTh37hx27tyJP//8E4MGDUKzZs2U/lFIpCk+ZOxRYKdyyZIl0aBBA9UJLUQ80TIopCzZFks378G+/fuxf98/2Ll1A5YunIZebWogQ6KAL2TcpMhRrDK6jlkJdyk9Ch/v7mB84ywBv/c4qNT2FwwdMliVIZrZkKHo/1MTZEnw3iHkaDASN+TkLsrp1atX0GdC411+y5YtVTkpk8vcNbDSSH9NWIyvW6BAAXz//ffo3bu36ofgMdPJkydlhkIkEy2DApvXDFNjvs/hum0aqmQxfckTotovi3BPih7CzGOX2Sgc4OwTpc+GIoULqhr14JYfBQsVRp4v0yCOyVEkKYpZR+5pryJEBTwCcnJy0v4WAo137/qfQ2OcxMYENbudKU9B2e1p06Zh9+7dqjv57t27ePVK7sKimmgZFGxXHwGn/+qFjKajjMQFMGn3be0ZIXS8xcqfCiNGnCwYsdkNPt7eShjNmj08Ogul0r53OmV7rpAekShk7NixQZ9FaC116tTqzp/zmLmroDYR+xRcXV3x8uVLGZvpwEhQMOLOfrQqYhovGB8NRm+BzIAKPb43/0aFlDGQrkpvXA7RUdAjTGleMMixxM1UE5tviv5UVMAyUx4PmT4La8ZeBTap0flzaD5HZ1Kb6NChQ6oDWvj4kKBgxGtX/FrDVA0TG7WHrIOIaocWf+x1rodYMRKjy6KQlxLe2TUc2T4zOZ1EaDLhkPaMEJls27YtmJ4R7/6LFy+O1q1bqzt/9hWwT8Hd3T1cPQSU4maz2r1799QozuPHj2vPCFFBNAoK61A9hEHB32MPmuZLHPjHEDM9ev11SiphQonfoyNokT8Z4udoiWOh6W16cxV9K73XQ0pdogOOS4tzpMJmNQ7MN30GNFYAUZ6Cx3zhgfIWN27cUB3SDCqTJ09G586dUblyZZW/oDgedx0cvCNEDdEmKPjcXoOqaeKqL3iGemNw32ry+A12jG2OVLED/xhSlvgBh+/LEUbo8MORme2RNOD3V3XIXu2xkHNoarP3JcLx0qDL3OANb0LEwQSzZTMZE8KhhZPQeOdPtdPRo0er4yV2KjPXwGY0/evrrVChQqrLWYgaok1QeHViKvIljam+dF98OxiXH72Bj+/71jTfd6/x9N5FLBneCl/ECfxyJsxSHtP23JRdQih5eGYVamfj0UNctDToYP4Qp5Z1DZIvV59Dru+w6tRD7Vkhovnjjz+Cfvc0VgtduXJFe9YcDt1nvwJ3ETxyovAdNZA4c4HjOhlcWHWkf70PGZVUQzvWU7Afn3ZQ8HuDK8d3Yd2q+ehY/n3HLJPHWQuUQo2636NZy1Zo06o56lb7GtnScURkLCRJlx0VGnXDymMe2gsJH8Yfdy8dwJT+nVAsXWDwVZY0F9r85oy5K3fjppetHddLXDi0CdNGdEcpp1jv15ssZQG07zMGGw9flIqkCIZ38/rf/c8//6weZ8koh/CzhHT+/Pmqn6Bu3bqqU5kDdcJTrkpLmjSpSlpXrVpV5SqEqOHTDgq+L3F880KMHzUMgwcNxUhnZ5Ugcx7Bnwdi4IABGDDg9wAbiEFDh2PMxKlYsHQt9p10k2qjUOOP60fXYnj/3zFoyLCg3/WIYYPxe/9+6Of8J84/siV09wyH10xH33791WehPqcgG4lhQwap15mx5ohxj4lgF1gxlC7d+5wOO5irVKmCNm3aoFSpUvjiiy/MHHlYje/BCW0cqMNZzZTD2L59u9JGkl6FqCXaHB8JgvBhePYfK5bBTi0MxjnKPArKlSsX6tevj759+2LRokU4ePCgcv4cqiPT1BwPCQqCIATRqFEjQwdvy5gzyJAhAwoXLhzUrzB16lTs2LFDVRqxWU1mIXw8SFAQBEFB5dO8efMaOn6TUeiO1UGUvO7Rowcogb127Vr8999/KuEsfPxE66DAygluYynxy8SWDPGIXHh0wMYlwTGgc9cni9mtzK5m9ixw+A2riyhQx+Ah4zQ/XaJlUOBWljos33zzDZIkSaLOPhMnTowiRYpgxowZqr5aiDjoWIYOHarUNtu3b69KID08pNIrqqFirX5XwMoi+VuIfkS7oMC70wEDBph9+S2N8r0cFCLYFwbjYcOGmenzm4wa/Kw+EaIGVvzUq1fP7DMZN26c9qwQnYh2QYEJMG6L9V9+I+NMWk6REuzHyJEjDX/XJkuTJg0OHz6sXS1EJtQvypw5c9BnwWOkTZs2ac8K0YloFRS4Fc6ePbuZI7JmDBxs1BHsA3M2tqQNTEadfSHyoRyF/nNgN7LslqMndgkKHMdH7XVHN7bf67/4HzJ2dhq9jljozbJL1ppREK1fv36GryEWcWZZisqJajzqM7pWLGJs3bp1mkeNWuwSFFq1amX2hRITExMTC51VqFBB86hRi12CAptVjP4jxcTExMRCZqz2cgTsEhRCeywjJiYmJmZutWrV0jxq1GKXoEAVxXjx4n0UZvRhWDNWYBi9hljoLTR6OkbrxexrH/o8jNaExSiBwQID9gLpX5/vz8eM1kRXYym8I2CXoMD2dqorOrpxeAgbpvRfTmvGRjZWzBi9jljobc+ePWbqm9bs22+/hZubm+FriN3CvYdP1Pxka8au/KdPHuPh/XvwuH3L4DUCjVVeRr9/GofgGK0JrXG85oMHD5TUNgXx9O9BuYwlS5ao7mijtdHR+LtyBOwSFD4mGBjKli1r9gW1tIwZM+LIkSPaCsFezJw506bmPrX0z549q10tGOF+YjtWrFiBvzdtxc5du7CLtnMntm/bii1bt2LHrr04cuI03B/Ynipep04dw8+A1rhxY+2q8MEgxYltVEk12pmw4klwPKJdUCBUbqSOOweDWH5Rq1evLg1UEcisWbPw5ZdfBvu9c7DKsWPHtKsEY3zhdmwHli8Yj9aVcuOzgADLIBsnblwkSeWEHLnzIGvGdEiRIhUy5SyMmq16YekBN22tOTVr1gz2GZisf//+2lVhg53rCxcuVF3qRq9PK168uApu0iDqeETLoEA4GJxOaMSIEejWrZsa9EGp3+fPZUp8RMOtMncNVNnk9C4OcOddpRByvA5NQcEUgQ72swLNsOHEDdy6fRvu11yxdnpfFE8b+Fy8VPnQc97BYEOjbAWFBQsWaFeFDn9/f3VMyNe2tiNk1zRnNjx69EhbJTga0TYoCMJHzdNdaJiL42NjIHnF3rhqcVp0a+8UFE+pHdmkKIhxO8xnjdsKCswBhBaKHHbq1EklTI1ek8N2qLZqbdaz4DhIUDDA+/l93PR8BG+Z2B9uvG4cxdqN++ApExbti9deNM8TKBvyefmeOBvsxvsx5nQuidiaU87VeBTcdWrX1oICx2/SwYcUT09PDBw4UOXhrL1ekyZNcOjQIW2F4OhIULDA/+5B/FghL74buAZeEhTCzbOLK1E5Q0rU6rMCT7XHBDvw7ENBATgx/2ekjRnonGPlaYaDN95PP7MWFHinf+3aNe0q6/C4j5LnuXPnNnwdWpkyZdSMBs4tMYJaZK6urjJTw8GQoKDn2QUMrZsTMeLkwoS9t8y22xGPPx65X8LJ/1zUFKvTZ93g9SmMr/UOuGP9oUCAk0iNVuO344X2sBBOQhAUrqwZjGzxNCedrR7+ufI+qWstKKROnVqVidqC6qmcRWK0nkYxvcmTJ+PFC+ufNqumqlSpgvTp0+P8+fPao4IjIEHBxNNzGNeyoPpSF+v4B55EtkO+vw8dK+VC+nTpkC5depRpOwWen8hMc6/TS1E+XYDDiJse7Sdug8y3swMh3Cmk03YKSUp3xn/339/m0CGbnLjecuTIofoLjDh69CiaN29uNW/AORkUM7S10+CkQ8rSc6iVaV27du20ZwVHQIJCAH4P/sPwFkXU+WucL6tjzSXj7W7E4Y1DC5wxaPxMrFm3FkuXLsGuUx6RvFOJSN5hm3MDJKETiJMazYYux12Z4x4+PhgU7mFS6yKIpRxvTFTpvRxPdKc0nHhHJVTOsDA5Z1rJkiWDTVvjrIVff/0VqVKlMrvWZIkSJVJNobZyEXzNUaNGqQH/Rq/Byj/BMYj2QcHr+h50r6Gdi8ZOj65//qc9E3m8ubEVbevUx5AFe0OZkP2IwsbzCxjyXS7NCSRBlS5TcOmxnCWHGV1QSF65L9y9tccVr3FwXndkTxjocBPnbYRNF82PcniOzymELD8N/EwCrVq1amoKG2HZ6JQpU/DVV1+ZXaM39pds3LhRXW8E32P16tUoVaqU4Xoa50Dv27dPWyFENdE6KFzaPRd186XVvpzJUav/KkR+kYwvzq8fgULJYgb8G+Ije4m6mLr1HGy5S++H57Bm/kxMnTQWv/XqrxqUVHh4fRf7V89A/9/GY885Fywb2wvNW7TGuFUu8Hp2HSvG9kDTps0waP5us7vGyMLfcy/alUyv/b5jI9e33bD93GPtWSFUqKCQXP0u4zkVRcc+zpg+ex7mzpyA3m2rI73KJcRBroptsOKEp7YoOGwyMzlnGuUoXr58iZUrV+Lrr782e05vhQoVwrx584ICiBFUBWjYsKFVnSUeVbFfRXpUHItoGBT88drLHSvHdEKu5HG1L2gs5KzeE4c9HuP50ydKy8ku9ughHj19Dm9fW3f0/nj55A7cLp7HgdWTUS9fUsRJUgiT99/WnjfH79EpjOzSGoMWHcD582cxqXkeJMzfCidu+wA+nljUuw4Sx0iJNmP+wIYt6zCsWVEkT5cbHYdPx/yFizC+xzdIkqo4Zh2y7ij8/d7h6YM78PD0xJ07d+xmDx7eh8uKgSiUigEw0DEky1EVo1cdhddrOU8KFbqdQqLc1THAeQKG//4LOrVriQbfN0SHnkOwaP1+3Hz8TltgDCuITJ8FjcdHHIhEITv94yZjYpjDd/h5WsPDw0MdNzFpbfQa1D365ZdflLKA4HhEv6DgcxUjGuUz/6LGjIuUTtmQK0c2JcFgL8uc8Qs4lWyFvRdC3iX97tZBtCmSHNnqT8Ajg7v5M3N/QtGKneGi+dBnF3dgyqwVuPYkMPC4rR+KvGlzYerpwDtwv/+mIm+GzOi+5Kr6GZ47UNXpC3RaeCLwZwO8HxxEy9yJ1O+GY0ntZbFixUHCRInxWVzLGdkp0Hle5B/bfdToj48q/opLzN77+8LHxxd+oThVnD17tsVnYWxJkyZVCeJz585pK4NDNYA5c+ZYLVPljqFevXrSs+DgRL+g4H0XmyZ2Ru4U+i1tfOQq1xA9e/dC1x9/xI92sy7o0n8aznrouoZCgOuCrihYph1cDCr6VvxYHrmr9sRl7WdLbmwaiQIZCmG+1uL67uwclMiZDwPX31U/e3vuQ72sGfDD/KPqZyP8Xt7C+lmjMXLECCUDYh8bidHjJ8H5t3bIl1ofFOKjYI3OWH/S+p2nYIBFojmsp3AhCQo8UvpQl/OWLVtslqlS62jZsmUqx2DE/fv3gyW4haghmuYUvHFt/wI0L+WkfWljI13J1thxwzFqQO9vGYFabYfjhkER1PZ+lZA4czms1Omc3b9wBg9uBTr96xtHoIBTQcy9HLg7eXtmFornyIsBfwceF727vRffBQSFDgusB4WIZKtzE6RJFHh8FDNpDnQctRq3n0vCOdRYBAWjktSQYHl8pLdixYopR24rb2AqMU2SJInha1Au3dnZGXfvBn4/LaEg3uLFi5EzZ05VzipEPdE60fzm1iEMbloU8bUvcI7av+N8ZHdX+bzG7asX4WE6YfK5j0WDfsbYdadgdMr+6NBE1ZCU//vB2O9yEoe3/4nfB03AyWuByTqP7aNRMH1B/OmunSVfmo+SOfJhyBbNazw4hPpZMqDzXyGXMrAPPvh3bhd8ETvwd530qyqYvNn1Eyq7jWTsFBQsq49o2bNnV6J1tu7c2cvAa7744otg62ksU2X/gS0pdB4jcbAMpTC4hrkGFxcX7VkhqojWQUHx/Br+6PktUqgvc1xU/XU5InUT+9wNwxsWQP4KTTB4hDNGDxuICYv34L61Vgn/59gzrQtyJ4uNuJ+nR8EKjTF963mwV9X7+XUs6FkTCWMkQtvZu+F+2wP/TGqOpPESolqPpbh+9yYOLh+IrHFioUhbZ7jejTzZ4gfH5qJMmsAjO6cSzbHmtHGDlBBCLLSPzoUxKFC+2uSUadQwsuWYqYTK3UPp0qWD1lga5ed5nGQNDlGiQi4nslmu5ZCl169Dd9wq2BcJCsTnEdaMaIm0/GLGzY7hW921JyIBvzdwO7IOE4YOxJjpi7Dz+GXYHo9CfHD7ggv27TuIczffHyb7vn2Mi/8dxYGDB+By/gaePPPCjbPHsf/AAfx78hIeP3+Km1dO4+CBgzh8whV3n0dSxc/LSxhUM3CGQpbKnbDj+of/C4UP8HQ3GucOVElNVKYbzofxToY9BvHjxw9yypyBYE0+nh3NDRo0QNy4pqo9c+MOg/MyOP3NCJa62up74OuyY9qWPIYQ8UhQCMILW8a1QfKAL2fair1xNvIbFj5R/HBqaXekDPi9pi7fBXtvyFAVe/Duv1komlqbWeBUHRvdzLrXQgwTyDy2MTlmdjlblptStqJPnz6qAsl0nd5YetqrVy+bmkncOdgaAVqiRAnVG+HtHbb/DsF+SFAw4ynWD66NBDE+x8+LT+ITkR6KUryfuKBDgfhIUqAJtl+XO8Dw4Y0z2xdjzLC+qFvEVCQRaF9VaoaBQ8dhzYELCM3hy4kTJ8xmZ9PBm4IC7+zZXGZLCZUjNQ8ePKiuN4Lijm3btrW6u2Dp9pgxY2TojgMhQcESX08s6NsGXcZvwFOJCuHm0allaN/kByw58VB7RAg7vvA4fxQ7tmzEpi3bsfeff/CPsj3YtomP7cLJq3cDQseH4RERGyzp0DNlyhTkpHmUdOnSJSU7YevOnpVJvLO3Nk6TQ+iHDh0KJyfz4GWyBAkSoEuXLrh48aK2QnAUJCgY4os3b96FqglIMMbP+w3eyLQih4PD+TkNjUdCbCw0OWuO0axcubLVoyIGkOHDh6uAYgSTxExEFywYqDhsZOxn2Llzp0pa66Ee0+bNm6W5LYqRoCAI0RBbjWZGxjt79iNwKI41uGv57rvvDNfTGCjYF2G0u2ASu1WrVuo6ai49fSojmaIKCQqCEA2xNaPZ0qiEyjt7a1DDqHv37mqegtH6FClSoH///rh586a24j1MTvft21dpKpmu585l2rRpMpEtipCgIAjRkJAEBXYZM9FsrW+AR0jTp09HlixZDNczP8FENJPZljCxzNe2Vp6aK1cuJX0hRD4SFAQhGmJrcD8rkHr37m14Z2+CIzltJaLLlSuHNWvWaFe/h3kEPs4ZCkbraIULF1YBg9VPQuQjQUEQoiG2dgr58+fXrgoOZSt49p8wYULDteyIHjdunKo+suTw4cM2m99YGjtkyBB4elqXdRciHgkKghANsRUUWGFk2YjG3gXOUUib1jSUytwoWdGxY0dcuXJFW/Geq1evomfPnlZF87j2f//7n9kAfx8fma8RVUhQEIRoiK2gwEqjdevWqevonKliSvkLo2tp1CsySkQzJ8DGNDaoGa2j1alTB7t27dJWQAWVDh06YPLkydojQmQjQUEQoiEfSjQPHDhQdSNzCpu1cZp58uRRKquWWkWUqli0aJHNQMLmt6VLlwbtCCjPPWnSJKWfxOdZyURZbiHykaAgCNGQDwUFOmW9/IXeeITE2QdGZ//sVahVq5ZNWQtKbuub35i0NpoH3axZM1FMjQIkKAhCNMRW9Q+N5/969VQau53pqI8fP669ynu4q2BOwdpsZ/YqdOvWTeUXTLBUtXXr1mYd1XorUKCA1eE8QsQhQUEQoiEHDhzAqlWrgmzGjBlIkyZNkEPm/9dLVZQtWxbr168PNk6TTnvQoEGq6sh0rd549NSkSRNVeWSCuQYeT1kb0MPKpp9//tks8SxEHhIUBEFQ6KUv2K9Ax8xjplGjRgWTnfDy8sLcuXNVXkHv0PXGQLJ27dogOWweBTFpnS9fPsPruWNg0ppHUELUIUFBEAQFG9b0TprHQXT+lnAwT7Vq1cyu1Rud/tSpU81mO9PRs9LI6HpakSJFVNLaqBSVukjSyBZ5SFAQBEHBiiG9oy5UqJBZUDh27BhatGgRLNdgslSpUqkE9PXr17UVgaM3f/rpJ8PRm6Y1PEq6ffu2tuI9rD5q3769SnizUkmIHCQoCIKg4B05JS5MDpsVRCdPnlSNa9xFWBO845D+li1b4tSpU9orQQ39Z4lp5syZDdcwb8CktX6NCeoijR071mwWAwOUNbluwb5IUBAEQcHZyqVKlTJz3py7QHE6/WN64zESS0r1MCFtVGJqMuoimZrj9PDoiElvy3+DyX777TftSiEikaAgCEIQnLWsd8Tx4sVTpaj6x2i8c58/f75ZHwHLUnn3zzWW19OopspOZe4iLPn333/RsGFDq+WpVFNduHChdrUQkUhQEAQhCI7nTJw4cZAzZi6AQ/VNP3PuATWQ7t27p60ILEsdMGCAWUmr3pIlS6byCteuXdNWvMfDwwN9+vRRuQWjtXx/zmrgzAYhcpCgIAhCEDzC0R/fMK9QpUoVNaKT6qj63oE3b96oiiGqquodud7Y3WxUYsoZ0ZzCZu1oiv0NnOLGfgohcpGgIAiCGUzy6h00y0VdXFy0ZwPZvXu36inQX6c3Hi/99ddfhqM3t27dqqa5Ga2jUTNJr4tkBKW5KbNt+e8Swo8EBUEQzODMBFYUmZw0cwrbt29Xz7HE9Mcff7RZYkpnbSRPcenSJTXnOWnSpIZrqalkeTRlCXcnS5YsUUGHa+rVq2czeAihR4KCIERDLGUu9NLXTB7T2eodNjWKpkyZYnX0JjWPLMtSTdDJsys6Q4YMhmtZntqmTRsVjGxx6NAhNaRHv5aJ6RUrVmhXCPZAgoIgREMsBfGyZs2qPRMIz/v1z1tTPaVxLCe7nI1Yvnw5SpcubbiOxnzFli1btKuNYYK6R48eSJ48ueFrMN9hdEwlhA0JCoIQDbGUzuZxjJ6LFy9abTwzGWWwp02bZthUxu7n+vXrW+1+ZhCiCJ9ReaoJzmmgXIa14f4sfWUfBd/LUqhPCDsSFAQhGvKhoEDYc6C/xmQmGWyjElM+xiYzazkHdkyzF8Ld3V1bYczmzZvVDsToNWiskFq5ciX8/f21FYK9kKAgCJ8afi9xYtNSbDh2U3sgOCEJCuxU5mhO/XUlS5bE/v37tSvewwTwzJkzrSqg0pgP+FCJKWU12rZta7UBjvOjx40bh4cPH2orBHsjQUEQNN56PYCHhyeevDSuZvF5+0qpdfJY4/Wbd9qjDoj/O+yb3Bxf5qiJFWeeaQ+aE5KgwCOZGjVqmF3HUlI/Pz/tioD4E/D/t23bpnID+uv0xtdmbsHWFDVTiam1GQsMTp07d1bHWkLEIkFB+EiIyGMCH1zfvxj/q1MOeb/KhBwlGmD2Pzfw3vUBXpc2oHX5/MidJw9yl6qF2TttH39ENb53DqNlvvhIUKAFNl4KLn8dkqBAeIyjn9HMah+TYum5c+fUkH1reQPe1Y8YMcLmXT0Dhb7E1MiqV6+OHTt2aCuCQwE9wX5IUBAcm6eumDVuEv65Etyx2YsXni6Y0K87xv21Hjs2L8P/ymVGoiz1sP32m8ALfJ9j++Se6Nh7GIYPG4Jh4+fCxcPRa+P9cGFVH6SLGQMp8jfESpc72uOBhDQosKqHTll/LQXtBg8ebDURzaMf9iMYlafqYaczu5aNXoPGcZysguLRlBE3b95Ug4Dq1q2rdhqCfZCgIDguPrcxvU0JZKv4E44/DpzeZX/8cf/GWbiceX/+/uLgZBRM9QX67AhswHp8fC4a1O2EbW4hHyL/8tlTvLBywuRnUSnj4x1RlTOvsabft/gswMEmzlwJkza6Bu23atY070a2FhQIp6fpdwu2jOWhPE6ylQDmvAWWmFqT4mbpaf/+/XHr1i1thTk8wmNVkl4iw9nZWXtWCC8SFATH5LUn5nSpgFhxM2Pw5uBVLvbE0n35nlqAysUq4o8zzwN+8sehWV1RIEtGJE+UEuXbDMeJezZq4l8/wNFtq7BgzlQMHzoCy/Zfhqf7JayeMgazlm3CgX/WYMCP7fDr+PW4ffcG9iybiI5t2mL4wn14bhEb/H3fwevpIzx8+EiVfYbanj2H181D6FUtW6DzTJoTHcasgaeXb8Ddde0gh0qzFRSoU2RLloKWM2dOTJ8+3WzamiU85mEJq7UGOB5DscT0+PHj2gpzONbz77//VjsVy7UU6mNpqhB+JCgIDofvA1eMbV0ScWLERMVfV8B8OnBE44vDM7ujUdep8FS+3x9eD+/g0sn9WDL5FxRJEw9f1R6Ayy/Uxeb4PMOmid3QYeCfcLv3EBsHV0OSTLWweP1qtM6XHF9V74T5G1Zj7ugfkTuNE+r2GImFyxZi+m+NkTljUUw/bl6z/+bSdvxUtySKFS+pqn5CbaVKoVyFCihV8EvED3KgMVGjz3LkrfS9mVPNmzev9q7GMI9glDtgiSkH8OinrRmxYcMGVKxYMdh6k9HRr169Wrs6OFRvbdKkidUdC/8du3bt0q4WwoMEBcFh8PfzgafLOnSukg2xAv7Qs9boi9NPA26f/XxVJUyIzcdH/W9YStjf3tiLfl17Yp0rdwnBubVjBPI4fYWBG4Ifbby6vh7ffV0Fs/4NnCfs/fgydu08gkcvn2Je6yIo0HY6AmuBrqNPxQwo+et69RMe70aDwl+i4yLzHZHPQzdsWT4Xf8ydq4bkh9rmLcSyv/5Az++LIK7mPFPlqYap2y6gVuOWStLaZHTKtuC5Pgfx6x0xpbKNhuXoOXPmjJK/oJSFfq3JKH1BAT5rOQEGG/ZEWJPlZqBispvvIz0L9kGCguAg+OPsmsHIn1T7g4+VAiVrNcEPHdqhZYsWajZwSK1504Zo8dMY/HfPOEFpldc3sHTCMMzfdUV7wIhHGN6iHDpN/Vf7+T0PT45H/izlscDFYsi8331MbVIcZX9eELjreXMB/arnQc1RewP2JQHc3Y7GJbKj40I3/mRXXpxZjGrZ2GuQECWaDcL+a4H/tlcvvNRxjsmePv3wfoxlpXqHTKG80aNHa8+aw5nLLDHVj/fUG5vbOnbsiCtXjH/X1EtiPwK7po3Wc8dAlVbuDvQlskL4kaAgOAj+uHZoCZqXNFW0JECZpj0xceI4jB41SgmqhdScRw7HqGkrceVJKHoJ/B5h55IZWLTjkvZAwJ36Ky8ECyv+jzGje0tM2htcBfTl9bUomyIZGozZHZSnuHbkMM5fPYcZrcuqoKB2Cm8von/13PjWeU9g2eu9HQFBIQe6LLZ9BBNavO8cRJsC7CxOgVq/LYK79eP+EMHdgmW1ELubDx8+rF0ReO6/ePFiJbetv05vdOZ6AT493OGxRNWWXhKH/vA9+F5G7Nu3Tw39F8KGBAXBoXj7wBXjO1VFwoA//tRlOuOodWkcu+H9+haWDWmHanXbY/LCJVg0fy7GDe+HYfP2483rm1i/aD62ubir5O3JTTMxaPRSeBjFG++HmNepOOImy4ymvwzCsH490GXgHFy+eR1jamZDzubjcfutD949OobOxVOjxC9r8fydD95eWYmq2VKi4eSTeOdrryOQJ1jWvUyAE02MxiPW46mdbqZPnDgRrMHsm2++UfLVHKnJUldr5/65c+dWIzyZuDaCJaq1a9e2OpKT7ztmzBjcuWNeXmvC09MTffv2VfLdfB0RyQsbEhQEx8PvPlaNbIGkAY4gS91hcAvlKVBouXloIRqXL4vylaqgapXKqFSpIsqVr4mJex4E3P6fx5CWFVGo9Lfo0K03Rs9aA7dn1j2s35NLmNm7CcqULIcmXUfh8M0XeHhuB375vjyqtemHba53cHH3QvxQuxzq/DwRRy564NTa0ahftRya/f4nLj+0T6e05/4pKPB5ItQZsgH27vDgbkzvrGPGjKkkLnhcpH/cZOnSpUO/fv2sOnNOc+NRkn6Gg95Yutq1a1erR01eXl4q2OhLVPlvWrZsmXaFEBokKAgOygvsmdIWaeIkRZvpRxCVohK+rx7hSoDjuvnA+A7X4fB7iW3jO6FJz7m4FwE9dnTCFSpUMHPcbGRj9RAbzkyPccfQtGlTq6WiDBIcqmNtzgKNeklG4zxN8BjKshHPZAwS9+/f164UQooEBcGBeY2tzs2Qr3w77Hf4DmIHws8bDz094RWBkZSieJZ39u3bt1fJYSagixcvrnoKjKai8ViH1VEFCxY0W6835hTWrFmDd++M/yO4a+DugpVTRutZrUSJjZAk0AVzJCgIjo3vfexZvx4n3D+Su/RoBCWy9Y6YuYCJEydifcDnZVRiyiQyNYwonmctb8DZCZzw9uyZsZAfX5d5BWu7i8SJE6spcR+a4iZYR4KCIAhhgsc/lkJ2GTNmhKurq3bFe5ig5shNaxPcWLrKIGOtCY49CNw5lCnD5Hnw9TRKbFibACeEHAkKgiCEGeoiWTamsZuafQrEw8NDVQQ5OTmZXWMy7hhatWplVdqC8LlGjRpZnbFgmuImR0X2QYKCIAhhhnfw7Di2dNTsYqYWkr4iSG+sDmKymvOZrfUbMLD06dNH9UIYvQarknr27IkbN25oKwR7IEFBEIRwwfN/NqQZOW4jY4J5zpw5Vofu8HE+Tz0mo/W0evXqfXCKmxA2JCgIghBuOJtZX45qZKwIGjp0qM35zNu3b0e1atUM19PYKc3+A2lMizgkKAiCYBf27NljKFxn0jmyVRHEMZu8JkmSJMHW09gAxxJTGaYT8UhQEATBbrCz2LLCiHkF7iSMoJOnqJ61EtPPPvtM9T9QBVWIHCQoCIJgV1htZOncOdLz7l1zEUGqrpYqVSrYtSbjYB8mooXIRYKCIAh2hYlilpBaOvlatWqpuconT55Uz1sb+M8GNmopWWtgEyIWCQqCINgdJpMpdWHp8Dm209rAHJaY9urVy2YiWoh4JCgIghAhnDp1ymZZqd64c+DITSHqkaAgCEKEwW5kHgcZBQJ2QlO2giWm1noWhMhHgoIgCBEKS1VZlmoZFDJlyqQ0kQTHQoKCIAgRDofzWwYFGncKp0+f1q4SHAEJCoIgRDgvX77EDz/8gCxZsgQLDNmzZ1cD+AXHQIKCIAiRBo+LjIb6s2N50aJF2lVCVCJBQRCESMXNzc1Q34jdy4MGDcKrV6+0K4WoQIKCIAiRzuPHj9XQHcvAQOvfv7+a0iZEDRIUBEGIEqh0ynkJnOmsDwrMMciMhKhDgoIgCFHKrFmz1DhOU1Cg5pFIXEQdEhQEQYhy9u3bhw4dOqBLly6iiBrFSFAQBEEQgpCgIAiCIAQhQUEQBEHQAP4PPCi2X1hXIoQAAAAASUVORK5CYII=)
physics-General
physics-
A reflecting surface is represented by the equation
A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is
![](data:image/png;base64,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)
A reflecting surface is represented by the equation
A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPwAAACdCAMAAACn3eWqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///62trYODg+rq6iwsLAICAr29vXV1dQAAADk5Oevr67q6uggICH19fTQ0NA0NDcHBwbS0tIuLi5mZmdnZ2fz8/Ly8vIaGhqWlpfb29oWFhUVFRfv7+8/PzysrK2pqavDw8P7+/srKyi4uLqampmdnZyYmJre3twQEBFFRUcnJyXZ2dmxsbBwcHCQkJC0tLfr6+sfHx4eHh6Ojo2lpaZKSklNTUxYWFqioqCIiIlhYWN/f32hoaOTk5F9fX0lJSUxMTAsLC5CQkCgoKPPz81JSUgoKCqqqqpqamtLS0khISOLi4o2Nje7u7szMzAEBAVlZWV5eXt7e3vn5+d3d3WRkZHBwcMvLy3p6eoCAgKSkpJ2dncXFxQMDAzIyMujo6GZmZmBgYP39/fLy8vT09KysrGNjY0FBQTMzMykpKSEhIXJycsDAwOHh4e/v79DQ0KKiojc3Nw8PDwkJCRAQEBgYGCMjIx0dHRQUFAUFBeXl5fj4+Lu7u3x8fEZGRjU1NXt7e5ubm8TExNvb2+fn5/Hx8e3t7dXV1b6+voyMjGtra0dHRyoqKvX19dHR0ScnJ3Fxcebm5tPT01RUVK6uruDg4JeXlz09PcLCwuPj456enlxcXCAgIHNzc4+PjyUlJdra2p+fn1BQUAYGBldXVy8vLwcHB+np6dbW1ra2ts7Ozm1tbUpKSjY2Nj4+PlpaWn9/f4iIiB4eHlVVVb+/v6enpxsbG8jIyBERETs7O9fX15aWlhUVFQwMDNjY2GFhYXl5eX5+frW1tUNDQ3d3d29vbzAwMBoaGkJCQpycnBMTE8PDw7KysjExMUBAQF1dXa+vr0tLS9TU1ERERFtbWz8/P25ubvf39+zs7Lm5uTo6Ojw8PBkZGYmJibOzs5GRkRcXFw4ODqurqzg4OIGBgbGxsXR0dLCwsFZWVk5OTqGhoaCgoI6Ojtzc3MbGxs3NzZOTk5SUlISEhB8fH7i4uGVlZU1NTRISEmJiYk9PT6mpqZWVlXh4eJiYmIKCggAAAEI/4pYAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAH20lEQVR4Xu2dTbqjKhCGM2TualiBIxixAIYuwk35OGEB7oAN3fpDTU6Sk+RE8Da8fX5MOh0tquqrwoh9aTQajUaj0WjUSj/JRoUYrUbZrI9FqcHIdm2MCljkQWWYAY1XVh7+84zL1Dn4NfXwYCLbVeS/+vdxWnlIcqs7eODZ+MB/VQGjmuGnpUT3KugwqAG362DGHJ/Q8WB8N4c+hHr0Hl3vMPRhHOIlBtNper4OwPU9lzeQvqjcZaqo0ls1exB8JoZ1sw688rIFxoPnq8Lqra2pzvNc55jqPL9gdydEVZHamX7s5p29VXke5nHDfiJTVc4b768mcdXl/J6qcv6Wuj1fW53f03K+Vprna6V5vlYq93zFxs8t5yulqX2tNLX/Gsb8r+LoK2pvnO2nOQ6DDloPcfbT6P4Pw/DnnDe283yNgwpBD1oHeRBhBOQ1Z+VvYW/GJaKhw7x0o3Xobues7TsfNTyv5+nU9v/B88YuZOEy3gtx47oIQRBif177P/Y82AaWD8uzC3pMP8PwhP2HJKfiQ+PNBF7VTy1nXDfDGM2/v7AEH6m96cGh83gd7FDmHGLcTRK4CV69fSh+Ij7J+R4C/sqXBiqdx0qHpU4PJH97Yw2YH054CcT7Ye88el0eAK73g5S3PToudjPXLEENp7vQ9V3Pm07vrbAk6Y/QfksNB7m/nCz23/Q8mbAaNPrNcg2NnV8A72dpepC4VXoQiuFcuv+e8V1QMSW76ZKNYVg6u5c5Y8cJixyh109GDSTMNnIn4B21N4tS6fJ8DH8iLv0De6Dvldf4lCej3gbvBLyR83ZQ6WIelO9rs+5DVQ5JxQHSJpwn9F8P+z6odEkHDAMSXijeppfkSPE+nSj0X/Y8hDxdssrRD4RXtVvMTzUCQn9+R2cO5EXPg8E6HTzbcn2Bx1OS98XjEPpXV8aU4zXjDRyvvI7d/qZs0VQA/pW8h1/Foywvqb2L6bixzkPEv78ky+IcUGkRu+kcsvdKzoO+idRBvgKfpSw7X4btHNa/EPZuSNfqQo8DfLogiWsEX+x+6ZUqb/3vnnc6mUvpnnTvA0A5gChBpMLn7/QlfvU85Lv4nVbkJM36DBo+kXrwfWnrfzN+jXlDivVpyCegU4LgYeu74pr/i9qDyWw7DALw94W3JJkidlNp65/n/LXtXxFokj1J96XwWtbnYe9Fnmjp5ZcEivJH3iu9fyGeen4Sz4Dgr5n6d9h6frdYdCXvM8/3coic79+TZo4jemvYLLiA/4nxY2CDvxnzjKVIoh3bULDZeaz2Rsscluq7TGe/BJicuh0Y4mKS/zDnITM5Hbvv204dDnS6tAnCQr8L8DDsOzkmctL3VYmGlNN9v8wvL488D603jQoJPa67/jbU6ZKQwC6+KShv8MDzIHKsQzgXYWn6Nigl/M7jQXv4lQfGp1BE/xx0ZFTu+aYNS6HAv6/2kPAsxXB8h5Uiah8o7dc4y8zdnHdSfqgeH9eE4NByr2PLBP7dsJ/FIRiYR4hdAm9Yomnwp0P384h7nu8lFVGSjp124ehSupcJ/DueT7eMwkbkq13tTyC/RFNA8Q8d5rvcMX7mngbG4Pud3S3Y63BwlVD8n2o/ytFg0B9/PNhHpLHO3ur8yPl0ECTFx0swBT4pfn+wvtzhR9hL+NE89uigR7bA99mn9reet4ErLrZ2We6ZRaNMVruQe13vrec9uxvncgcrfQIm9NLqTLnPad0YP4q7Vx3KACortTgQBHldf6P2cVO7bHWXairtts/c513nfJdZ7RjscjngZOxzcRX2RrPkYG+Xse5sY23znse/8vzCh7DFYSa2wfZZ97v3vAt82m4Lw1zgBIcnknIIedgb73mOgU2XfKCSi01g5RjysFN7J6GH/U3u2TWWO+50corNLuelvyHH71QwC9hUsevnjK7fwt4qvh0kOj5zpwWsrrcZXb95XoZ880FW3Jr1GWv96nlwPO17dUFmMOBov+l8QgZW4+M2oyngeJYa2jG0PLmyPql9OnmMjs9YbHag62n8+2xtXsp5OXGH41/oQ9N11/lOaEnYpxMJ6/AXYA26bCfxxfPp5FU5x2PmpXl9WOvvsbDnYXdyLqWM1DN4BoUOI9dpbDZeAg2nc0WknsEOn5THZjqbR2oP1YUkBqeW+Zu7FfxskK0W+T0ayvleZHYo0NXvwdPY3G3kCUAK+8gqi2GXJ9keQGlHW9JyHQx6Pn1ICLUm8zz+Fqy0koA5zqag5xdWeKxzeU/g/ACnN1xzdY6r82IwqaxixpXpbDdA8jgKlxySB2GfQgx3XFLuEKw3SfJePJY/KCMYL3KHDVbBOseg5HFv+3huZ5zZ34nJTN6PF7f8sqz3HjH0EmjQ3WX6dO4ZKHmU7d3jBn8ZgPW+FWbEi4TN8MFdOWJIVx/BmBeWOwTPJ1D8mcddHq7DB091yfs2RNN9ErSzCmrEm5zgEtmJbnfinC30hQwqzLQBXR78tHf+OFnBHlOgTip+tDIbPy4IIcB32pCH9FT2L/ixPx565g5yA66QOiGRrXdZYoyYQnGgDf5K3/m/4Md6HPCbnvlJRJcB6y04FrmkogpoXW5Y03zp03UF/z68KHdbxY7/z2aWpugEmGX2fl61/tJh6kN3hP8PX3WMHai+7fsqjW80Go1Go9FoNBqNRqPRaDQajUaj0Wg0zsPl8h+0D6Vw6WuHkgAAAABJRU5ErkJggg==)
physics-General
physics-
.Two bodies A and B are moving towards a plane mirror with speeds
and
respectively as shown in fig. The speed of image of A respect to the body B is
![](data:image/png;base64,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)
.Two bodies A and B are moving towards a plane mirror with speeds
and
respectively as shown in fig. The speed of image of A respect to the body B is
![](data:image/png;base64,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)
physics-General
physics-
A point object is moving with a speed v before an arrangement of two mirrors as shown in figure. The magnitude of velocity of image in mirror
with respected to image in mirror
is
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)
A point object is moving with a speed v before an arrangement of two mirrors as shown in figure. The magnitude of velocity of image in mirror
with respected to image in mirror
is
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)
physics-General
physics-
A point source of light ' S ' at a distance
from the screen A produces light intensity I0 at the centre of the screen. If a completely reflecting mirror M is placed at a distance
behind the source as shown in the figure, treating object and its image as incoherent with each other, find the intensity at the centre of the screen.
![](data:image/png;base64,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)
A point source of light ' S ' at a distance
from the screen A produces light intensity I0 at the centre of the screen. If a completely reflecting mirror M is placed at a distance
behind the source as shown in the figure, treating object and its image as incoherent with each other, find the intensity at the centre of the screen.
![](data:image/png;base64,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)
physics-General
physics-
A point source of light S is placed in front of two large mirrors as shown. Which of the following observers will see only one image of S?
![](data:image/png;base64,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)
A point source of light S is placed in front of two large mirrors as shown. Which of the following observers will see only one image of S?
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physics-General
physics-
A two eyed man is looking at the junction of two mutually perpendicular mirrors from a far off distance. Assume no reflection to occur from the edge. Then if both the eyes are open
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BGflfHBUmrUnxP0rxhGqB4SckDrFF2y7YQwmcCXtibki4upLghAytFvmeRAf30AeFhNN1ktYjrSnLrKL3FbeR3GSz7q2RgSuC0hJuBN9h2dGzJopGljtLIVklCgGSwIIDruDQXlLyQIl80Wnabyc3AA0Yqmy2iaUAhwCHJFNH0BEqWI6/U0dzjkORmIHV07c3bkUsyMM10PNbN3bKRn8v/HwGUvDAXiwzonldDH1203Y2/ZDUDI8Xj4TZyJQ3otpEpolP+/xpZMngmaZnBalcycl3LwLC82l+Ph+LZVTZQgbOKC5wPVIpmpERmYNnANTb38EWTAXdQc0/O90gGi3skg4Yr/nsGocCkWCx+3YBjM/g+u++QZf8ADkATgQL9CjgAAAAASUVORK5CYII=)
A two eyed man is looking at the junction of two mutually perpendicular mirrors from a far off distance. Assume no reflection to occur from the edge. Then if both the eyes are open
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARwAAADYCAMAAAAOJKzEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////7+/sXFxczMzHNzcwsLC1paWsvLy21tbRsbGwAAAGNjY/Ly8rS0tKKiok9PTwEBAfr6+vf398DAwBAQEOvr6x4eHu7u7h8fH+3t7fz8/PPz84iIiLu7uz4+Punp6dHR0TExMd7e3q+vr/39/fHx8XJycuDg4NLS0jk5OVVVVerq6nZ2dp+fn3h4eAgICOLi4jw8PFFRUeXl5dPT02FhYQUFBebm5uPj48TExJGRkSMjI+fn57+/v2BgYN3d3aenpwQEBMrKyqGhoT8/PwwMDExMTNTU1Gtra6ampri4uM3NzSQkJEhISIGBgYODg4WFhQMDA9vb2y8vL7e3t9jY2F1dXcLCwmxsbKWlpeTk5NnZ2To6Ojc3N8HBwV5eXtra2tDQ0LGxsd/f31ZWVvj4+KCgoG5ubvT09H9/f9XV1QkJCSgoKEZGRjg4OA4ODq2trTMzM/v7+7Ozs3x8fKmpqc/Pz0JCQgICApKSkuzs7GdnZ/n5+XFxcQcHB2RkZERERBMTExISErm5uV9fX6Ojo0pKSnl5eREREWVlZXR0dD09PRcXFxUVFSsrK2JiYtzc3OHh4UNDQ4yMjPX19ZWVlUtLS0FBQWpqarCwsHd3d4+Pj0lJSS4uLtfX1zs7O01NTejo6IuLi3V1dY6OjlBQUJycnDU1NQ8PD1JSUry8vFxcXJ2dnTY2NmlpaaioqFNTUzQ0NIKCgoaGho2NjWhoaFhYWDIyMs7OzpSUlO/v7zAwMIqKin19fZqamvDw8Hp6egYGBsjIyBwcHCwsLImJiScnJ7W1tfb29ra2tikpKSIiIoCAgJubm6qqqr29vcnJyRkZGZeXl9bW1nBwcLq6ug0NDbKysiEhIVtbW0dHRx0dHZmZmZCQkHt7e6urqxgYGH5+fhYWFsfHx56enqysrISEhJiYmJaWlmZmZsbGxgoKCr6+vllZWSAgIG9vbyUlJcPDw66uri0tLVdXV1RUVEVFRZOTkyoqKoeHhxoaGqSkpE5OTiYmJkBAQAAAAFX2kJ8AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAALPElEQVR4Xu1d3dGjIBR1xjcb4EUbsAlrSgc+WgMtOWMFNmAXe//A4JrE5FNA5ezuR77VIXA4XC4XlCwhISEhISEhISEhISEhISEhISEhISEhISEhIeEl8lw+JCyRT0UtHxNc5Lorikl+SXCgqrFO5LxG3iVyXkIlcl5D9ckgv0SsylGSBgUo5w05uZYPnlE9HjGw81Y5+cOzrJqB06koGv4UFO+U0zyKovbagkqPlOqiiFw5oBvP3EB71BUmYzTKWR2tmrzsi6L1XsRqwq8ciiKGGd+qcvJRg2qAG6+6yenbxgkSIIcUFBgrNidvYcLln5tMszUuYYQEcqLoVv8pB00NofPceGJvsmmMhpylzcEhivHwXb6qpm9s6gbI8TwSrGKpnJmbANOKAe0NaHcqo/Rzmrbo2wfbnP8N9eHQJSUDtFCEyhn0oPKWuCnYH/MKNbFRBicwQuUAFHDTgXZ822PC7ARGoBxVLW0LdKyiLYEcHaR4ETmBlW67rq/1rGHUTavAIPo3x1wIdHPicAJV0yjAzA3ppoFZse9JFaAUewNGORI/xwXqBt2btg9QNnFzFJidSPwcB6gbjDI1T/3MIwaWKzuBsSnH6CZTgZqN7A36E2DzIlMO6SZsg0msawQ3NC7lqDo4N/PcMzLlRKAbQM5GOZJIoEEMukFQrCuyoTwG3XBHMk6grENEANJNaIe9JHtDc8+YlGPH8KCwsS5yAmMhJwrdAEaOD1S1AnIiGa1i4WaOdeloRivkpo+CGyiKLECAExiFctZ1E6hoxgmEMsWgnDXd5Lp9tNMQgiAxypFEAld0M3J8veOlAM8YKQAJBjl8R1cwiVnqpsIw6dQDPZ7Z4W8jowzkBI8ErvUp9XhguZA2zwXkSKCaYGYegXLWdJNVxhuEi35XrsC/waSpcyQnRJ9+wio32WAmNU1HUUGP4EmnOIFhR6t1bp4G8anoPTefOIEjOoFBlfOCmyf4X4IwC57BI4HIzVuDC7NR7wvCOdgbAA4UAZVDunk/GOWd714FmJ3AgMr5zA0UMMBOgtkJDEbOBt1kTR9kn7QyTqAZNL1jAzdZ6b14pdgbKFk45WzRTZb33juV7OsSJzAQOXrD3hvVBtjXZRY8p2CRQNTN531Jtf8dKACcVgHKMpRytujGOPK+YWJdug2iHAXcfLQ32Rhgdw5BFjzRCQygHNTNx1Go5CICxrfziwMgkg0xt0LdfO5TwA3u9oK/k39Xh41yCJuzSTdDV/Rd18G/ouBZsidQQ/DcE5TzsQ33xSbd4F5Ji85r87ETSEYZlOO5Q0O1P+smG8v5j18fWXa9YUDQu5+zqU8FhTiB4+Td5mzTTViIE6hHv8ohexM7NzzpxMLWXiOBaGaj58Y6gfhckz/lnEI3iIEeffAaCTyDvRHwAoRHm4PchAh5/gJa8ERyPDXmWbjhiRw5gdCt/DiBp9GNTDrRKPvyc3CcOkmfMrveyAn0YXPOZW/Y0PiKBELnPQ03HFsHKN362BN4Jt0gzPNorQfloG68hmT+DF7wxEY9Wjln0w3COoEHKwc3Pp5LN4CGjDKQc2wk8Fy2GDCQWGgXCpBzqBN4Pt3MC55H+zmgm7P4fhYS6zo8EnhOe2NiXcOhyjklN3Osa5oOVM5JuQF7wwsQ+Gaso5RzWm6sUQaLeZByhvNyI7Gu40arE+sGwM+jATmHOIGoG9bm2WCcQEgOIufM9oZ32qFRPsbPOa9uAPKaDzDKh9icM9titDfclyZ0AndXzql1AzCP3eNy8N7KOTs3UANZgAAncGflDP3ZubFO4O6RwPPrBjA7gbsqpwLdBNh1vjd4Zr6zn3MB3VQklgOcQNLNMdMRbyjZCdk9EngFW/y04LmrzbmIvTFPeE5DtZ9yLsINVGT/SOBluIFpM9uGfLf351yIG5hWsVEGJ3AX5VxhnJoh714a97E5l9INgI3yPn5OfiHd8HEqNPfchZxL9SkT64KOsIefE+KQpeNgnvCEuecOHjLqJshTvAdBFjxVnf9dOdfSDcLEuib9V+VcTTcIswvlr+/PuZ5uABLrwgdZ/lI14kY+XwhilP9mcy6pGwQbZSDn921v6PtdjhtxArFeQM7PTiDqxvOBdx4wL3j+ZQvKRfuU6wT+SI7/g1k9wex6q/OfI4GXtcVib6CG6AT+pBzUjf+DWT1BnMAK6vhL81/TFlvMTuAP7U+Hc12XG2OUf4oEXlw3AOsEfu3nXFs3DdWMHoP9gRyyxdfVjRysjE9cATlf1vPS4xRAFjyzafjeCby6LYYR3DqB35JD3FxYNwhZ8KzwYOVvZHAHbtjeAL6MBCI3MRxcdjDs3PMb5dxDNwAxyt/YnDgO5/ICfrsQkLM1EngT3XBHKvGxeyBnoxN4F91osTcw99zcrW5ii62bIwcrb6oxHbJ0B25kWkVzTyBny2h1G90gzILnxjP1bqQbgFnw3HamXnMrbrC+1gn8WGvSze9LfyeEGOUNkUAaw2/FDTqByMpnJ/BuumGtaDTKoJz3TiBy09/I3phIoDiBb1VxQ3vDL21Fo/zBzyHd3NLegBP44Uy9O3LjOoGvlXO/PkUwTuDbM/U+HwZ4UZhXTII2Xinnnn2K8DESeFvdID6cqXdbbrgj0QIEkMNOzxLIzcYY4bVQUq3pMdgXIYsb2xv3YOU1cm6rG4DZ10VO4P+j1aaDEq8LWfAc9apy7s2NvNJ2PRJ4c90AzGP3YHiXysFDT27NjZ17/je3SrpB0IInjlbOiH2OQ5aOBGmF555AzrNMth2UeGmIE4gLEAvlJG7MygNutnX9HLA3d+cGzDBbYz5OZR6tbm9vGPLuJY3HqRjlJHsjkEig0k9+TtKNQTORRnD3BCsnjeFPkOfRbMgCDz1J3BjYSCApJ+nGBcUtgBzkJOnGgg9WxkcfxAlMupkhT3gqMMrUrVA3vI6VID2K1syRnNSnXNTy6EM5dsXUJd04aFqWCi4HJ90skbdilIGbolQLNFH+pQJ7wciP24ETWPQPBPzs5Q//FttPn/LWNGTh6RUnAQ8ifqBq/LZ81L0uy1JPlJT6UePP8tFSUvf4n5Jo3U+YlD3cA3e3D/pN7uEM4CLcA58wH+ceuvqUASTPGWjJwN4jJTD3PLQTzj0OI02nmpbHqIGTUX7jcazhkyyVFKmUe/hizo3YcFTIPGci91R8MV9kIAMAZyD3NJrndW4Gg8mAEuXeczzkDM/qQV+o+HU6dlM7F8q8CsQs4XDl3HtkWdncM7+CGjHwu0qrSTLgyplNU3xRTpRfz0Aick9PsfiBWfDkZ8saLr9EMWz5hSSzfdAhyWTglP/ptTwIw/IiA77HZkCJ3cEpJL3J4HjYIkrluGySyMW5iEIAJXZH2IIkSubX8mDyto5myXVBEmeQczOJpBcZHA9T/pa/V/qZLf8zSf+V3yHpBQFCkmTg3LPeF9elKFq2GdDF4yHVMEZZuvmLRl4jaZBGflfHBUmrUnxP0rxhGqB4SckDrFF2y7YQwmcCXtibki4upLghAytFvmeRAf30AeFhNN1ktYjrSnLrKL3FbeR3GSz7q2RgSuC0hJuBN9h2dGzJopGljtLIVklCgGSwIIDruDQXlLyQIl80Wnabyc3AA0Yqmy2iaUAhwCHJFNH0BEqWI6/U0dzjkORmIHV07c3bkUsyMM10PNbN3bKRn8v/HwGUvDAXiwzonldDH1203Y2/ZDUDI8Xj4TZyJQ3otpEpolP+/xpZMngmaZnBalcycl3LwLC82l+Ph+LZVTZQgbOKC5wPVIpmpERmYNnANTb38EWTAXdQc0/O90gGi3skg4Yr/nsGocCkWCx+3YBjM/g+u++QZf8ADkATgQL9CjgAAAAASUVORK5CYII=)
physics-General
physics-
A point source of light ' S ' is placed at a distance 10 cm in front of the center of a mirror of width 20 cm suspended vertically on a wall. A man walks with a speed 10 cm/s in front of the mirror at a distance of 20 cm from it as shown in figure. Find the maximum time during which he can see the image of the source S in the mirror.
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)
A point source of light ' S ' is placed at a distance 10 cm in front of the center of a mirror of width 20 cm suspended vertically on a wall. A man walks with a speed 10 cm/s in front of the mirror at a distance of 20 cm from it as shown in figure. Find the maximum time during which he can see the image of the source S in the mirror.
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)
physics-General
physics-
A particle is moving in a circle in front of a plane mirror in the situation as shown in figure. The plane of motion of the particle is perpendicular to the plane of mirror. Then the motion of image of particle with respected to the particle is
![](data:image/png;base64,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)
A particle is moving in a circle in front of a plane mirror in the situation as shown in figure. The plane of motion of the particle is perpendicular to the plane of mirror. Then the motion of image of particle with respected to the particle is
![](data:image/png;base64,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)
physics-General