Physics-
General
Easy
Question
A ray of light is incident normally on one face of 30° – 60° – 90° prism of refractive index 5/3 immersed in water of refractive index 4/3 as shown in figure
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAABlCAYAAAC/S5bMAAAQd0lEQVR4nO2ceVzM+R/HXzNNd9axpQixErnKrmMdoVQqKm2JLH4hpRBKrL2sa63Fuq0kFFY5i8iR7kKKnLm6yNXq1HTN8f79gSFqNTVN3zLPx2P+mM/x/rw/vfrcn8+wiIggg3GwG9sBGdUjE4ahyIRhKDJhGIpMGIYiE4ahyIRhKDJhGIpMGIYiE4ahiC0MEeHxo+yG8EXGe4gtTNqdOzAaPAhz3N3wKFsmUEMhtjA8XiV0dbtBT687bMZYYMVvv6KwoKAhfBOLiooKlJSUNLYbEqNOY4yyigo8F3jhfFQsysvLYWw0FDv/3o7y8nJJ+1dr/t66BatXLm+08iVNvQZ/DQ0NrPrjTxwOCUVS0iWYjjBCyPFjEAqFkvKvVhARVFRV4b1osVTLbUgkMivT1e2GXXsCsX7TZuz22wkbKwtcTEyop1UuHidswVyr8Vj010as9l6AP08+REU1Kb3mzYWWlhbatPmynmUyCBKT1GtXaayFeY3xAoGAQo8fo6GDBtC0qZPp/r274hbxjvIY+nHIBArMFZDgsR859bQh34f8KkkKCwvJxGgoPX/2rO7lMBCJr2PYbDZsxtnhQkwcBg8Zign232HJooXIffGiDtZYYLHe2G2jCXW5YhSXVD1wTbmShLOR0dDU0qq/8wyiwRaYioqKmOk2C1FxCVBTU4OZyQhsWL8WXC5XPEPCAjyIPg7/FUHIt/bCxN4cUdS1qynYunkj2OxmuE4Wt4l9qiuriUfZWTTX3Y36G/ahf/bvIx6P9+lM5bH009DXXdmHVFZW0rOnT+ne3TSxfWkKSO1frWMnHWzevgP+ewMRcuwoLExNEBlxHlSLuyDVJdm5YzvWrF4Fve49GsDbxkfqfUBfA0MEHTmGJT/9jN9XLMckRwfcvHG9mpRcPE5KxP28bKRGpuHlezNwIsKN1FS4zvKQmt9SR9wmVteurDp4PB4d2BdI/Q37kOdsd3r0KLtW+cJOhDa7WdiHNOqoyeFwMGnyFETHX0TnLl0w1sIcq1YsQ1FhYY15igoLceTwIWi0bStFT6UPI6YzqqqqWODtg/ORMXhVXAxjo6HYtdMXFRUfLycrKivxt69f85yJvYdEakdEOBR0EIu8F2CR9wJEXoiok522mpr4Y+16BB05ioT4OJiONMLJ0BDRBCHi3FlMm/I9FBQVJeE2sxG376tpjOHz+eTvt5P0uuiQTntN8po3lwoLCurVzybEx5GVuSnZWFnQxcQECj8VRjeup9bLZlOBpfeVjlh3l0koBI/Hq/JfW1HDrjKHw4Ech1Nt3PsI+Hyw5eTAervM/wChQAAejwdlZWWEnTmPrrq64rjcJGGVlnLFEubm9etYtvRXHAkJrRL+KDsb8+Z44G5aGtTV1fHX5q0YMHBgrWy6u86EtY0trMaOrTaeiOAwzgaZGZngcDiwtbPDPK+F0NDQEMf1JgVHWVlFrAyKSkpgs9l4Px8RISMjA9NmzAQAGJuMQltNzVrbtHcYjy2bNsLW7jtwqmlh8bGxCDpyHMeOHEJMdBQUFBRgZjwcM1xc4eLmBnHr0CQQt++r9zqm5AYFb/Wlw/9soLX+l6lQQCQUCmmshTkFH/zno+T5eXk0cthgKsjPp9JSLn3dpxc9eHCfsjIzycNtJg382oCC/jlAfD6/msKaLlIWhkdpG53IJ+wVERVRmOc4WpNcQUREyUlJNGTAN/THqpX07OlTUY6SkhJKSU4Wfd+4fh35eM0Xfb+akkz2ttZkZjyCIi9EkFAorKNvzEK6wvCzyNfegv66zSMiPj3cbE3Wa2+JonNzc8nd1YX69uxOVuamNHuWK5mbjKjyx87Py6M++npVxBMKhXQm/DSNHDaYnBzt6eaNG3Xzj0FId5UmeI4XuWV4cvkEQkNCcTGrBPlvz2mExSgvY2Grrx9Srt/CL78tQ0FBPqxtx1WZrbVu0wYO4x3h7+crCmOxWBhtYYlzkTGwsBwD58lOWOA5B0+e5Ei1epJEusKwVaCi0gKdjWxhO84WRl2/gOoXLQDw8W/ieizelIJKvJ5mKygoYr7XQszxnP+RGRfXWQgOOvjR1o28vDymOk9DVPxFaGtrw8rcFH+sWoni4mLp1E+CSFcYTld8Y8BDTjYPAB85T3gwGKgPgAON3t3RTu51MiLCyuVL0amTTrVm2mtrw8x8NAID9lYb36JFCyxcvARnI6KQn58H42FDsMffD5WVlQ1TrwZAyhtOKjDycIXKhd2IiAxGrIoL5piqfZTq+bNn+HP9hv88Lp7lMRsBu3ehvKysxjRa7drhz/UbcCD4MKIjI2FmPBynw07W6gyo0RF3UJLItj+vkJ4/K6QqZ5gFB8jL5ww9yM6i/oZ9KC/v5SfNzHCeQgF7dte62LiYGLI0MyE7aytKTkoS328p0qjnMe8QUH7K7+T0P186fek6nTtzpla5kpOSaOigAbU7pn5bkkBARw4F07f9+5HbjGmUkZ5eV6cbFIYI85pnT5/SDz7eYq1F7G2tKeT4MbHLKistpW1bNpFBrx70y49L6OXLf8W20ZAw6lBjt78fOnfuUuNmZnV4zJmLHdu2iD1uKCkrw2OOJy7ExIHFYmHUCCNs3bwJZWWl4rrdMIirZEO2GKFQSALBxzdiPpXHzHgERUdF0pnw03Ve+Wekp5Oby3Qa9I0hHQo62OhbPIwSpi7w+Xw6sC+Qhg8eRI7fjaPYmOh62UtOSiI7ayuyMDWmmOgoCXkpPozqyurCzh3bkZGRjuzsLFy7moLdfjvrZe+bAQNwNDQMnvO98MuPP2CK0wSk3bkjIW9rT5MXxsFxIvYF7AWLxUJlZSVYErgLwGKxYDlmLM5HxWKUmRkmT3SEj9d85Dx+DD6fLwGvP02TF0ZDQwOrVq+BiqoqAEBBQV5ithUUFOA83QVR8YlQVlbB8CGD4D1vLl69eiWxMmqiyQsDAA6OExAdfxH6PXshKzPzo/g9/n64fCkRhZf98LObA6zMpmHvnTc3cIT/IsF3DXYe3IUtflHIFQKCJ1HYt30ndm0PRMILIVgsFhIT4uHiOgtyHA6Mhw1G4J7d4PF4DVcpcQclpg3+75Ofl0e9e3SrciRARLRk0UI6GRpMD9MyqZwE9NjPgezW3SEiotL4n2jijzFURhWUtNyelkQUUpr/NjpTQkQFR2nbrvs0w3kq/bjYR2Tv1s2bNGmCA40cNpjCT59qkDOgZtFi3iI6EthVdQLgs3gJTEzHoGuPzlAEH1z5r2Fv0w1AJW6ejQVHtzsUoAC9rsq4HHkLbb4ipAaHIDToFp4KHyEj/SGWLl8psterd2/sP3gIS5evxIZ1f2K8nS2upqRItC7NShgAcHGbheCD/1Q5Eti04S/EREcDKMGd4B/gvTkcqbefAuDj35eFUGnZAmwACkryeFWQjy9GumPO6B7Qt/ZG8bXDmDzVGQoKClXKYbFYGGlsgtPnLsBxohPcXWfAw20msrOyJFIPsYXhcrlIu3MbX/fpJfp06dAOy379WSIO1Rdt7Q4wNTPHvsAAUZiSkhLkORwAaug54S8E7zBH2p6jAOSgpqYCYeXrmVZFWSVUW7YCC2yoaveAunI5oiIvwN5hfI3lycnJwXGiE6LjE6Hfsxdsx1pi2a8/oyA/v171EFsYVVVV6Ol1x7moaNFn49btuH3rVr0ckSSzPGZjr7+f6EhgqvM0DBg4SBSv2udb9P/qSwCK6DvYEMVZ6eCDj+zHXPQZ1Btvb8ylXruGvoaGaNmq1SfLVFZWwdx58xERHQs+nw+T4cOwY/vWOr/krlNXJsfhQF1d493nS3Vw5D99sU9a6HXvAYN+X+PwoWAAwNbNGxEXHYygJfOwLvAIDu+7B4Pp9gCA1laesCw4ikNngnGqdBw8rFpXsSXPEW/6ra6ugRW//4EjISdwNTkZJkZDcfzoEfFfcos7W6huVhYfG0tOjvYSm5FIgitJl0VHAgcP7KfkK1eo/N9Muv/gGb36cBuM/4qeZb8g7gfBqdeukoWpcb38uHzpItmOsSQrc1NKiIutdb5mN/i/pf+AgdDS0sLpsJPopKODNm3aQFG9M7rpakFN7oPEcmrQ6tQWH14b7N5DHxkZGdW+OqgtAwd9i+MnT8F99hws9vGG8+RJuHc37ZP5mq0wAOA+ew7+3rYFYSdCcfvWTbHzKykpoWOHjshIT6+XHywWC2NtbBERHQejESPhNN4Bi7y98OL58xrzNGthjEeZQiAQomMnHfTq3adONvoYGCDywnmJ+KOoqIgZM10RFZeAVq1bwXzUSKxfu6ba38BhEYl3wnQ99Rpsx1hi5ix3UdiTnBykXruKMdY29fdewjy4fw8pV65g+IiRaN+hg9j5i4qKEHrsKMZPdIKysrJEfXuSk4PTYScBALsD9sHE1EwUJ7YwfD4fB/YFoOy92ynl5eXIz8tDe21tCbksOQQCAfx8d4DP42H8hIl1+qGG7OwstGvX/qNFpqS4f+8eXFxnoWevXu8C6zXlaCI8ycmh/YEBZNhLn/x8d4h9StoYNOsx5i2Be/dAU1MToafCEXYiFM6TJyE3N7ex3fpPPgthysvLwePz0UlHB4ePh6KvoSHGmI9CZIRkBvUGobGbrDTIz8sjLrekStili4k0sJ8B/eCzkMpKSxvJs5r5LFrM2jWrERlR9SV1V11dsNgsZGdnwmaMpWjRF34q7D+v3UqLZi+MUCgEl1sCgUAgCku5cgWWpiaY6PQ9DgQdhourGyY62CNgjz+e5ORgnLUV0h8+bESv6zBdbmoIhULMn+uBuNhYKCkpgc1io7S0FOs2bMQoM3NRusyMDEz/3xRwuSXIffECX3Xtigsx8WJdPpQkzNkSbiDYbDbU1Fpg2YpVMDDsByKCdocOkJd/t2tcWVmJK0mXMX7CBBw8sB8AkJGejhvXU2Fg2K9R/G72LQYAIi9EoGPHjuim1/11APcmDu29CHabUmSVDcFM54Eoz32OZUt/Ea3EAUC/Z0+EhIVDsRF+iaPZjzEAUFxU9N5OBR93d61GcudJcHCaDv3rq+F7rRKaWlrY7uuHxKQUhJ4Kx+Ztf0NJSRnjxlriwf17Uvf5sxAm6fKld7+qLniC2LgCtOuiBEAVPXQFiI96IErbXlsbBob9YDPODsdOhGGq83Q4fmeH/YEBUn3w1OzHGOD1m80vWn7x+subB7pFl08g9D7wKqsE+ewXAPRRlJ6M26/ao59hByjj9Xa90/eTMXDQt/Cc7Q5NTS2YjR4tFZ8/ixZzMjQEt26+OY+p4YGuIP0sDkfew519nvA68AiC9/J31dXFyfCzMDU3r9Z+Q/BZtJhWrVtBReXN+eSbB7pnsnmALuv1A93h+pDrwMGUmUqQu5uP9HNcfNhpSfv30T6LWdmHCLKPYZXvcwwxVcOViy3w/Q926CQHAHw8OBqAzKHTYK7VuJ3JZykMAIBfhBcvgS+1Wr7pNoQouhmORMFQjDZs1eh9/OcrzAcUJ2+Cz7pbaK3TAsJ2VljsaYovG1EdmTAMpbFbrIwakAnDUGTCMBSZMAxFJgxDkQnDUGTCMBSZMAxFJgxDkQnDUGTCMBSZMAxFJgxDkQnDUGTCMBSZMAxFJgxDkQnDUGTCMBSZMAxFJgxDkQnDUGTCMJT/A0tr3B4HSlU7AAAAAElFTkSuQmCC)
- The exit angle
of the ray is sin–1 (5/8) 30°
P
- The exit angle
of the ray is sin–1 (5/4
)
- Total internal reflection at point P ceases if the refractive index of water is increased to 5/2
by dissolving some substance
- Total internal reflection at point P ceases if the refractive index of water is increased to 5/6 by dissolving some substance
The correct answer is: The exit angle
of the ray is sin–1 (5/8) 30°
P
Related Questions to study
physics-
In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. AB is object
![](data:image/png;base64,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)
In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. AB is object
![](data:image/png;base64,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)
physics-General
physics-
A flat mirror M is arranged parallel to a wall W at a distance l from it. The light produced by a point source S kept on the wall is reflected by the mirror and produces a light spot on the wall. The mirror moves with velocity v towards the wall
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAABsCAYAAABD/20mAAAMD0lEQVR4nO2db0xb1RvHv5U/jTpkFRgYmQ5mt2yy1WwgDFG3Elh0KPuDIyFBYrJk0QScZvEFM5lb3FQwmvkCXTIXx2KMickQLAznylCJgyiwla1lHRb5M9uBVCjQ0nL7+GLh/riw6W/dubR3935e9dubPue5fDn39D739BwVEREUZMk9wU5AIXgo5ssYxXwZo5gvYxTzZYxivoxRzJcxivkyRjFfxijmyxjFfBlz15lPRHC73QAAjuPg9XqDnFHoErLmd3V14fnnn4fBYIDVakVBQQE+/vhjcByHoaEhlJaWor29XfCZ6elpFBcX48svv4TL5UJubi5+/vnnIJ1B6BOy5qekpCAyMhIOhwNarRYpKSlwOp0ICwtDXFwcYmNjsW7dOsFnwsPDkZqaCgCIiopCSkpKMFKXDCFrPgAUFxfj66+/BgAsX74ctbW1AIDBwUEkJyfj2rVrqKiowP79+9Ha2hrMVCVJSJufl5eHjo4OXL9+HTabDRqNBhcuXEBNTQ1efPFFfPPNN8jMzMTOnTtx6NChYKcrOcKDncC/oVarUVBQgJMnTyIiIgJFRUU4efIkNBoNoqOjsWvXLhgMBrS0tGB6ejrY6QbMuXPn4HQ6sX79egwODsJutyM5ORk6nQ4WiwVmsxlZWVmIi4tj2m5I93wAKCkpwYEDB5CdnY2CggJUV1djxYoVAIA9e/YgKSkJhYWFQc7yzkhKSkJRURFiY2OxevVqvPrqq/D7/QCAlStX4vTp08yNByRg/pNPPom0tDSkpqZCo9Fg8+bN2LJlCwAgNjYW+/btw5kzZ9Dd3Y329nZcuXIF3d3dGB8fR29vL8xmc5DP4L959NFHsWHDBpw+fRrR0dHIy8vD+fPnAQCtra0oKioSp2ESkcnJScrPz6f09HTq7OwMOI7H4+Ffe71e/rXf76eJiQkiIpqamiK/308+n498Ph9xHMe/lgJffPEFvfTSS0REVFJSQpmZmURE9P777xPHcaK0yY/59fX1qKysZPqP5XA4+J6n1+uxdu1aJnE5joPf70dERASTeMEgJycH5eXlvN6xYwf27t2Lrq4ubNy4ESaTCd3d3QCAe+4R5wKtIroxe9fpdGJgYIBp8EuXLqGoqAhEhF27dqGsrIxJ3J9++gkNDQ04fPgwk3jBQKPRIDExUfDeyy+/jJ6eHtTU1KC6uho1NTX46KOPkJaWJkoOfM/XaDTQaDTweDw4dOgQli1bhomJCeh0Ojz77LMBBV+zZg1UKhXUajXy8/OhUqmYJD05OQmXy4U1a9YwiRcqlJSUYP/+/YiLi0NhYSGOHj3KF61EYe44cOTIEaqsrCQiosuXL9Nnn30W8Jjidrtp1apVVFhYGHCMmzEwMEAtLS1MY4YCHMdRc3Mzr1tbW0Vtb575lZWVlJ6eTn/++ScREfX29gYcvLy8nAAQAKqpqQk8yzkYDAYqLi5mFk+uzDN/bGyMcnJySKPR0PHjxwP+pul2uyksLIyio6MpPDyc1q1bd8fJzmC1Wunbb79lFk+uzKvwRUZGorGxEWfOnMGbb74Js9mMioqK2x5O/H4/iAg5OTlQq9Xo7OxkMEjdwO12Y3h4mFk8uTLvHsJoNAIAcnNz8f333+Orr74KOPjbb7+Nhx9+GLm5uXjuuecCz3IO/f39OHfuHLN4coW/1ZuhqqoKvb29eOGFF2A0GvHAAw/gjTfeuO3AHMeBiLB3716kpqZi586diIyMZJL0yMgIhoeH+TKvQmDMu+y/8sorCAsLQ09PD8rKyqDRaAIKHBYWJtCsjAeAixcvwmAwMC9KyY155t97770AgFWrVi14Mv8vypjPhpB+pHsrNm3ahA0bNgQ7DckT8k/1bobRaGRWKpYzkjQ/JiYGjz/+eLDTkDySND8xMRHPPPNMsNOQPJI0/8KFC/j000+DnYbkkaT5K1aswI4dO4KdhuSRpPkejwcjIyPBTkPySNL8vr4+NDU1BTsNySPJ+/yMjAwsX7482GlIHkn2fJPJhM8//zzYaUgeSZo/OTmJ69evBzsNycP8sj86Ogqr1Yr169czm7M3F71er5R3GcC857e1teG1114TzXgAOHv2rFLeZQBz8/v6+pCfn886rICYmJiQfuooFZib/91332Hr1q2swwpYunQpNm7cKGobcoCp+VNTU+jt7cXq1atZhp1HZ2enUt5lAFPzm5ubodfrRR3vAUCr1WL79u2itiEHmJrf0NCAp59+WvTfyivlXTYwNX9m9au58/dYo8zeZQPT+/xPPvmEZbhbkpGRgccee2xB2rqbkWSFTynvskGS5k9MTMButzOP6/P54PP5mMcNVSRpvl6vx5EjR5jH/fDDDwW/BXA4HKiurkZHRweAGzWM33//nXm7wUKS5osxe9dsNuOdd97BgQMH+NVE4uPjUVdXhz/++AMAMDQ0hGXLljFtN5hI0nwxZu/u3r0bXq8XXq8Xu3fv5t8vKyvDsWPH4PF4EBERIdoSKcFAkmeydOnSgFcLuRUmkwk6nQ46nQ4mk4l/PysrCw6HA1VVVfwqYHcLkjS/s7MTVVVVTGMmJSVh+/bt2LZtG5KSkvj3VSoVSktLcfny5YB/txiqSHIalxjl3erqajQ0NMDv9+PEiROCY4WFhXflgyRJ9nyPxwOn08k05uwVuucu9KRWq/HII48wbS8UkKT5/f39yuxdBkjysq/M3mWDJHu+yWTC8ePHg52G5JGk+WKVd+WGJC/72dnZyMzMDHYakke0ns9xHL/LFQC4XC5msZXZu2wQzfypqSl+Fa/p6Wns2bOHWeyYmBjR5wnKAVEv+0ePHsWWLVvQ09MDm83GLK6UZ+86HA7Y7XbEx8cjISFBcMxut8PhcCAhIQHx8fGi5yJazw8PD8f999+Ps2fPwmAwYPHixcxii1HeXSgefPBBVFRUYOvWrZi9BCIRIS8vD8eOHcOSJUsWJBfRzI+MjMThw4fh8XigUqkCWsL1Vmi1Wmzbto1ZvIUkIiICOp0OixYtEhSqGhoasGTJEiQmJoo++3kGUW/1SktLkZWVhdLSUqbfzsfGxtDX18csXjAoLy/He++9B+BGr29qalrwoUyUMd9sNsNqtQK4sTHi4sWL+Q0R09LS8NBDD91RfJvNhlOnTgmevnEcJ5g1HIi+dOkSiAi1tbVM4s3Wc89706ZN2LdvH9ra2uB0OrF582Z0dHRgzmq4oiKK+RaLBfX19Tc9lpiYeMfmp6SkwOPxoK6ujn/vypUrgrV4/0tbrVZotVrB8ZmHN7W1tbh69eq84zOfJyLBcb/fj56eHoG22Wx8CZrjOFgsFrz11lt8PJVKxfd+rVaLDz74gJ8utmAEa633O2F0dJROnTrF67/++ovq6up47XA4qL6+ntcDAwP0ww8/8Npmswl2tOju7qZffvmF1yaTiX799Vdet7e308WLF3l9/vx5slgsvG5ubqarV6/y2mg0Un9/P68bGxvJbrfz+uDBg+T1eonjOFq7di01NjYSEdG7775LBw8evI2/xJ0hyfKu0WhEdna2QOv1el43NTUJ9I8//iiY+dPS0oKnnnqK162trUhPT+f1b7/9JtikuaurS/CY12KxYOXKlbye3cuBG79Unr150syt3czrqKgotLS0QKVS4cSJE8jJyYHD4cCiRYsQExMDh8Nx+3+UAJBkedflciEqKorXExMTuO+++3jt8XigVqt57fP5EB7+v1Odnp4WjMdENO8b9mxN/zIO3+zY3M/OnveXkJAgKHg98cQTAG5MFn399ddv2Y4YSK7ne71ewfLtbrebXykcAMbHxwX/GKOjo4LpV8PDw4iNjeW13W4XfAeZ22ttNhuSk5N5PbfXd3V1CfYLnHvVaGtrQ0ZGRkDnKjoLNsAwYnx8nEZHR3k9NjZGLpeL13///Te/yyYR0cjICE1OTvJ6eHhYsEPn0NCQYJdOu90+T8/eZ+jatWvk9/t5PTg4OE/PZq4OJebttKEgHyR32Vdgh2K+jFHMlzGK+TJGMV/GKObLGMV8GaOYL2MU82WMYr6MUcyXMYr5MkYxX8Yo5ssYxXwZo5gvYxTzZYxivoxRzJcxivkyRjFfxijmyxjFfBmjmC9jFPNljGK+jFHMlzGK+TLmH4S5K2+EDuRNAAAAAElFTkSuQmCC)
A flat mirror M is arranged parallel to a wall W at a distance l from it. The light produced by a point source S kept on the wall is reflected by the mirror and produces a light spot on the wall. The mirror moves with velocity v towards the wall
![](data:image/png;base64,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)
physics-General
physics-
Two plane mirrors at an angle such that a ray incident on a mirror undergoes a total deviation of 240° after two reflections
Two plane mirrors at an angle such that a ray incident on a mirror undergoes a total deviation of 240° after two reflections
physics-General
physics-
A ray of light is incident normally on a prism of refractive index 1.5, as shown. The prism is immersed in a liquid of refractive index
. The largest value of the angle ACB, so that the ray is totally reflected at the face AC, is 30°. Then the value of m must be :
![](data:image/png;base64,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)
A ray of light is incident normally on a prism of refractive index 1.5, as shown. The prism is immersed in a liquid of refractive index
. The largest value of the angle ACB, so that the ray is totally reflected at the face AC, is 30°. Then the value of m must be :
![](data:image/png;base64,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)
physics-General
physics-
A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will :
![](data:image/png;base64,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)
A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will :
![](data:image/png;base64,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)
physics-General
physics-
The diagram shows five isosceles right angled prisms. A light ray incident at 90° at the first face emerges at same angle with the normal from the last face. Which of the following relations will hold regarding the refractive indices?
![](data:image/png;base64,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)
The diagram shows five isosceles right angled prisms. A light ray incident at 90° at the first face emerges at same angle with the normal from the last face. Which of the following relations will hold regarding the refractive indices?
![](data:image/png;base64,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)
physics-General
physics-
A ray incident at an angle 53° on a prism emerges at an angle at 37° as shown. If the angle of incidence is made 50°, which of the following is a possible value of the angle of emergence
![](data:image/png;base64,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)
A ray incident at an angle 53° on a prism emerges at an angle at 37° as shown. If the angle of incidence is made 50°, which of the following is a possible value of the angle of emergence
![](data:image/png;base64,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)
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 45º as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 4º. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90º is
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)
A ray of light strikes a plane mirror at an angle of incidence 45º as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 4º. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90º is
![](data:image/png;base64,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)
physics-General
physics-
Two lenses in contact made of materials with dispersive powers in the ratio 2 : 1, behaves as an achromatic lens of focal length 10 cm. The individual focal lengths of the lenses are:
Two lenses in contact made of materials with dispersive powers in the ratio 2 : 1, behaves as an achromatic lens of focal length 10 cm. The individual focal lengths of the lenses are:
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5, whose apex angle is 4°. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90° is :
![](data:image/png;base64,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)
A ray of light strikes a plane mirror at an angle of incidence 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5, whose apex angle is 4°. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90° is :
![](data:image/png;base64,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)
physics-General
physics-
A parallel beam of light is incident on the upper part of a prism of angle 1.8° and R.I. 3/2. The light coming out of the prism falls on a concave mirror of radius of curvature 20 cm. The distance of the point (where the rays are focused after reflection from the mirror) from the principal axis is :
![](data:image/png;base64,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)
A parallel beam of light is incident on the upper part of a prism of angle 1.8° and R.I. 3/2. The light coming out of the prism falls on a concave mirror of radius of curvature 20 cm. The distance of the point (where the rays are focused after reflection from the mirror) from the principal axis is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAABjCAYAAAASNrcdAAANhUlEQVR4nO2cfVBU1RvHv8sqr/GyIUJEDA0SW9I0DO/Eq4iOgNaMSpkNloQOM/SHldIUzhSjM2RQM01qNTaVI0JCIEqkgMKoZLwUAYKihojLS8jrLruwu+w+vz+M/YncXRaW3UtxPzMMe3e/55xnv3v2nHPPfe7yiIjAYXLM2A5gqcIZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEssSSNF4lEqKurg0qlYi0G3lK69NfY2Ai1Wg0/Pz8MDw+jvr4ek5OTsLa2RmhoKMzNzU0XDJmIX3/91VRNaaWvr482btxIn3/++bTnxWIxlZeX09jYmMliMVmPX7duHcrLy03RlE6ICJmZmWhvb0diYiICAwPh6upq8jhMZryzszNKS0sREBBgiuZmpbCwEF9//TUyMjIglUrB4/EgFArx9NNPm6R9g4yXSCSoq6sDAAQGBsLW1larNjAwEO7u7igsLJxvcwvO2bNncfDgQZw/fx729va4ceMGOjs7wePxEBQUBAcHB6O1vUzbC8PDw1AqlVoLTr1eW1uLgwcPQiAQICcnB9HR0Yx6W1tbSKVStLe3w9vb2/DIF4CNGzcCALZu3YozZ85AKBRCKBQCANRq9bzrlUgkaGtrAxFBIpEgNjZ2hkZrj8/IyEBHR4fWyhsbGzE+Pg4iwuDgIKRSKRwcHBAdHQ1LS8sZ+r6+PmRkZCA3NxfffvvtvN+UMSgqKsJ3332HN954A9bW1ggPD8djjz027/oSEhIQFRUFPp8PhUKB9PT0mSJDZmaxWEw7d+4kHx8fyszMJLlcrlW7Zs0aIiIKCwsjkUhkSLNG4dNPP6WPPvqIZDIZlZeXU0lJCZWVldHo6Oic68rPzye5XE4KhYK6uroYNSabXGNiYnDhwgUUFRWhpqYGOTk5pmh2Tmzfvh3bt29HXFwcAECpVKK3txfu7u5zqicxMRF8Ph98Ph+2trY4evToTJFh/UR/pnq8Wq0mf39/GhoaMlXTejM2NkYhISFUWFhIzc3NpFar51XP999/TyqVioiI7t+/z6gxaMtAIpHgrbfewgsvvIADBw7onIyn4PF4SE1NxZdffmlI00bBxsYGWVlZOH36NBwdHVFRUYHy8nL88ccfoDkMDCdOnMCrr76Kbdu2Yd++fYwarUPN/v37cefOHa2VNzY2QiaTaSbXsbExCAQCrFmzhnFy7enpwcWLFwEACoUCQUFBqKmpgbW1td5vyFTs3r0bO3bsQGhoKABgYGAASqUSTzzxhF7lOzo64ObmBrlcjsnJSQgEgpkibV+XgYEB6u3t1fp37do1ampqogMHDpCVlRW5urpSbm6uVv3UUDNFTk4OffHFF/P6KhubwcFBio+Pp8rKSpJIJHMun5SURO3t7SSXyykzM5NRo3Ud7+joqPNTdXFxgUQiQWBgIEpKShAUFAQ7Ozu9egQA7Nq1CxEREUhNTcWyZVrDYIXHH38ca9euhVgsRnNzM8bGxsDj8eDv78/cex9hw4YNeOaZZ9DZ2YnLly8ziwztHfryaI8nItq/fz8dP37cVCHMiYmJCYqLi9NMsCqViu7cuaNX2erqakpOTqa4uDiqqalh1Bi0nJTJZOjp6QEAeHh46Oy5U8vJhxkYGEB8fDx+++038Hi8+YZhND7++GPY2dkhMjISvr6+CxqjQasaCwsL5OXlQSgUIjg4GC0tLXMqv2LFCgQFBaG0tNSQMIxGcnIyfvnlF7i6uqKsrAwlJSVoaGhYkLq19vjU1FTcvHlTa8Hr169jYmICRASZTAaFQgFLS0v4+/szXlAgIs2q5mG6urqQlJSE6upqA96G8YiNjUV+fr5mzpNKpbCxsdGqv3XrFqqrqyGTyRAREQFfX19GncG7k2lpaSguLkZiYiKys7O17ugxDTVTJCUlISUlBeHh4fMNxWgcPXoUIpEIfn5+ePHFF+Hs7KxVe+HCBdTW1mL16tUAgPb2djg5OeHNN9+cKTZ4FtITpsl1imvXrlFCQoKpQpkT9+7doy1btpBSqaSqqirKy8ujtrY2Rm1ubq7mjHVqUs7Ly2PULop13OrVq2FmZoaWlhY8//zzbIczDTc3N/T19QEAoqKidGrDwsKQnJyMu3fvwszMDAKBAO+++y6j1qChZmxsDH/99RcAQCgUwsLCQqtW11ADAFevXsXhw4dx4sSJ+YZjNPbs2QOhUAgPDw8IBAL4+/vDzIx5XaJSqTSvTUxMQKFQwN7efoZO66qGiKBWq7X+qVQqmJub4/z58/D394efnx9qa2u16mcjJCQEPT09Orcp2CIiIgIymQzr16+Hl5cXLl68yJgaUl1djdjYWLz//vuoq6uDlZUV9u7dy1in1qEmLS1N56qmra1Ns6rh8/lobW1FdHQ0AgICtK5qZuO9995DdnY2Dh8+PKvWlHh5eeH06dMYHR2FQCDA2rVrGXUnT57E2bNnYWNjg7q6OjQ3N4PP5zNXasjEIxaLKSkpiZydnentt9/Wua+ha3J9mODgYPr7778NCWvBkUqltH79eqqrq6OKigqqrKykkZGRGbqCggK6cuWK5lgkElFKSgpjnYtiVfMwubm59MEHHxg5mrkTFRWleaxWq0ksFjPqZDLZtGOmD4jIwP14Y/DKK6/g3LlzkEgkbIcyDZVKhdLSUs2Zq7aMCisrq2nHTBMrsAhzJ/l8PpKTk/HVV1+xHco0zM3NkZCQAHd3d5w7d05nIoBIJIJIJNJZ3zIA+Oyzz2YVGsqtW7fwzjvv6KWdnJxEfn4+7t27t2i2jCcmJjA0NISVK1diw4YNOrVNTU0AHpwDaGMZ8CAdYXx8fAHDnMmVK1ewY8eOOZVxcHDA5s2bjRTR3Kivr8eNGzcwPDysSXia7ZqFThZu+tGNvpPrFCMjI+Tn56c5BWebmJgYzWOVSkXDw8NataWlpVRaWqqzvkU3xk9hb2+PmJgY/PTTT2yHAuDBtYfi4mLU1NQAgM70Ph6PN/ve/YJ1iVmYa48nIurt7aXQ0FAjRDM31Go1RUdHExFRf38/lZSUUF9fn0F1LtoeDzy4ruvj44OKigpW4+ju7oaFhQVGR0fh5OSETZs26dwe1odFbTwA7Nu3D9nZ2azGcPv2bfj5+aGlpQU///wzqqqqGHVdXV24fPkyJiYmAAC9vb1ab/dZ9MZ7enpCIBCgvr6etRh+//13+Pr6IiwsDPHx8Vozoi9dugRra2tNXtHKlSu1Xllb9MYDQHp6Oj755BPW2q+qqsLIyAgKCwtRU1OjdbfV0dERfn5+mmM+n69JBniUxXF2Mgu+vr6QyWSs5NYrFAqMjo4iOTkZwIN0c5FIxJjIeufOHUgkEs12wuTkJJqbmxnr/VcYDwB79+7FoUOHTJ5bX1VVhSeffBJFRUWIiIiAi4uLVu3mzZuxdetWuLu7w8rKCvX19Th06BCzeCGWW/own+Xko4SHh5s8tz45OZlqampIoVBQZWUlXbp0SadeLpdTRUUFFRcXa80UJlqE28K6KCgooD179ixANPqhUChIKBTS9evX9dKrVCpKT0+nVatWkbe3NyUmJmq9hdOkQ81LL70EpVIJpVKpuSI19f/hMz0imnHmx+PxwOfz4eLiArVarfWa50Jy5swZJCYmwtLSEqWlpeDz+To3yPLz87Fu3TpkZWUBAIaGhlBYWMi8R7Vg3WMWhoeHaWxsjORy+bwT/k1NXFwcdXd3660vKCiY8VxxcTGj1mQ93pi3LhqDhoYGeHt74/bt22htbYWFhQUiIiJmLTcwMIAVK1YAeHArT39/P6NuSf2WwVzYtGkTfvjhB01aNjEMf48yPj6OpKQkiMViLFu2DDKZDEeOHMGzzz47Q8sZz8DJkyfx559/IjIyEpOTk/D09ISPj49eZYkIHR0dkMlkeO6559Df3898J8k8hr7/NENDQxQaGjrt1tHOzk69yk5OTtLx48epsbGRiB7cVZOWlsao5Xr8I+zcuRNeXl7w8fGBnZ0dQkJC9P45lWPHjqG1tRVSqRRbtmxBTk4OcnJymL8thvaQ/xJ5eXmUmpqqOZbL5XTz5k29y586dYqI/p9vJJVKaXBwkFHL9fh/aG1tRUpKCnbv3o3ly5cjMDAQq1atmlMdH374Ie7evQsigkgkwlNPPQVLS0scO3ZshvZfs1djTPr7+7Fr1y6cOnUKbm5uUKvVqKurA4/Hg6enp971REZGwsfHZ9rJXWNjI6N2yfd4sViMl19+Ga+99ho8PDxgZ2enMxt4wZj3gPgfYHR0lGJjY6dtfI2OjtLVq1eN3vaS7fG9vb3Ytm0bXn/9dbi6usLMzAz+/v6as06jY/SPdhHS0NBAvr6+1NTUpHlOpVJRfX29znyZhWTJ9fhvvvkGxcXFyMrKQnd3N4gITk5OCAgIMOm9tkvK+LKyMvz44484cuTItFsm79+/DzMzM8NS8ubIkjIeAORyOWpra6FUKrF8+XIEBweb9oc+/2HJGf8wpMeOo7H4V6R3GAs2fz9hSRvPJpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLMEZzxKc8SzBGc8SnPEswRnPEpzxLPE/E9Ih+DvDe18AAAAASUVORK5CYII=)
physics-General
physics-
If an object is placed at A (OA>f); Where f is the focal length of the lens the image is found to be formed at B. A perpendicular is erected at o and C is chosen on it such that the angle
is a right angle. Then the value of f will be
![](data:image/png;base64,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)
If an object is placed at A (OA>f); Where f is the focal length of the lens the image is found to be formed at B. A perpendicular is erected at o and C is chosen on it such that the angle
is a right angle. Then the value of f will be
![](data:image/png;base64,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)
physics-General
physics-
In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length.)
![](data:image/png;base64,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)
In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What speed of the image with respect to earth when the object is at a distance 2f from the lens? (f is the focal length.)
![](data:image/png;base64,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)
physics-General
physics-
The diagram shows a silvered equiconvex lens. An object of length 1 cm has been placed in the front of the lens. What will be the final image properties? The refractive index of the lens is
and the refractive index of the medium in which the lens has been placed is 2
. Both the surface have the radius R
![](data:image/png;base64,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)
The diagram shows a silvered equiconvex lens. An object of length 1 cm has been placed in the front of the lens. What will be the final image properties? The refractive index of the lens is
and the refractive index of the medium in which the lens has been placed is 2
. Both the surface have the radius R
![](data:image/png;base64,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)
physics-General
physics-
A point object is kept at the first focus of a convex lens. If the lens starts moving towards right with a constant velocity, the image will
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)
A point object is kept at the first focus of a convex lens. If the lens starts moving towards right with a constant velocity, the image will
![](data:image/png;base64,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)
physics-General