Physics-
General
Easy
Question
In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?
![](data:image/png;base64,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)
The correct answer is: ![mu subscript 1 end subscript superscript 2 end superscript minus mu subscript 2 end subscript superscript 2 end superscript greater than mu subscript 3 end subscript superscript 2 end superscript](data:image/png;base64,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)
Related Questions to study
physics-
The figure shows a ray incident at an angle i =
/3. If the plot drawn shown the variation of | r – i | versus ![fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
The figure shows a ray incident at an angle i =
/3. If the plot drawn shown the variation of | r – i | versus ![fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
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,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)
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,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)
physics-General
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAHsAAABxCAYAAAD1XNwZAAAKHUlEQVR4nO2caWxM3xvHv8P4aRNqje6oIkVVJxHVqZYXFE0JLyQ6tSshQiVekFAa0loiJaEqTZNaWpQ3lpAplVDaWtKWUgRRFUu60No605m59/m/kOl/qubODL0z0znn8/Lm3HOe5HufM585syiIiMBhgl6uLoDjPHjYDMHDZggeNkPwsBlC1rC/fv2KjRs3wmQyybkMx05kDVupVOLkyZOIjY3Fmzdv5FyKYweyhk1E6NOnD1asWIGYmBicPn1azuU4NlDIeajy48cPjBgxAp8/f8aLFy+g0WgQFhaGnJwcDBgwQK5lOVZwmqCFhYXh3r17CAwMhEqlwt27d521NMcMycj3799p8ODBXa7fuHGDgoODaefOnWQymeQsgWOBS956zZw5E9XV1Xj8+DGXNyfisvfZQ4YMwcWLF7F8+XIub07CaYImBZc35+AWJ2hc3pyEnEJgTdCkMMtbWloaGY1GmSpjE7fobEvM8lZTU8PlrZtxu7CB/8vbihUroFarcerUKVeX5BG4haBJ8eLFCyQlJSEsLAzHjx/n8vYPuGVnWxIWFob79+9zeesO5BSCvxE0KfjJ27/h9p1tCT95+zd6VNhA55M3tVrNT94cwO0FTQqzvI0bN46fvNlBj+tsS8zyFhAQAJVKhbKyMleX5N7IKQTdLWhSXL9+nYKCgri8SdCjO9uSWbNmobq6Go8ePUJsbCzq6upcXZLb4TFhA8DQoUNx6dIlLFu2DGq1GgUFBa4uya3o0YImhVnexo8fj5ycHPj4+Di9BnfDozrbErO8+fn5cXkzI6cQOFPQpCguLubyRh4kaFLEx8dzeYMHb+O/w+XNgwVNiufPn0Oj0TAnb8x0tiXjxo3rkLfIyEiUl5e7uiTnIKcQuIugSWGWt127dnm8vDHZ2ZaY5a2qqgpxcXF4+/atq0uSDebDBn7J2+XLl7FkyRJER0ejsLDQ1SXJApOCJsWzZ8+g0WgQHh6OY8eOeZS88c7+jfHjx+P+/fsYNmwYVCqVZ8mbnELQEwRNCq1WS0FBQZSenu4R8sY7W4LZs2ejuroalZWVHiFvDoVtNBpRWlqK27dv4/bt29DpdHLV5TaY5S05ORlTp07t2fLm6Fag1WrJ19eXANDYsWPpzp07Vsf29G38d2praykiIoKSk5Pp69evri7HYRSPHz+m9PT0jvAFQcDDhw8lHxBBENDa2gqDwQAACA0NxcSJE6FQKDqNUyqVuHnzZo+ycVu0t7dj27ZtuHz5Mk6fPg21Wu3qkuxG0dTURBUVFR0XBEFAZWWl1RuICDU1NdBqtTAajRg+fDhSU1MxZsyYLmONRiPWrFnjUWGbKS4uRkpKClJSUrBjxw707t3b1SXZxpFtwGAw0Pbt2ykkJIRCQkIoPT2d2tvbrY73tG38dxobGykxMZFiYmKorq7O1eXYhL/16gays7PJz8+PCgsLXV2KJJInaKIo4tSpU/j06RMAICEhAZMmTbJ71+iJJ2h/y7Nnz5CUlISJEye678mbrafBvFUBIKVSSWlpaaTX6+16kljpbDN6vZ42b95Mo0aNovLycleX0wVFaWkpzZgxw9YDAbLYAPr06YNBgwZ1se/f8fb2xrdv35jobEuKi4uxevVqrFmzxq3kTWEwGKi+vr5TmJYYDAYcPnwYeXl5AIDExETs378fvr6+Nif/+fMnVCoVc2EDQFNTE1auXInW1lYUFBRg5MiRri5JehsXBIEOHz5MycnJlJycTBcuXHBo22BtG/8TR48eJV9fX7eQN/4RpxOora2FRqNBREQEsrOzXSZvkmfjoigiKysL8+bNw7x585CXl2d1u+dYZ8KECXjw4AGGDh0KlUoFy0MsZ6Joa2ujBw8eWA1REAScPXsW+fn5EEURarUamZmZCA4Otjm5TqdDXFwc851tiVarRUpKCtauXYvt27c7Vd4U5eXlNGPGDMmOJSIIgtAxxtvbG0FBQTZt3MvLC+/fv+dh/0ZjYyNWrVqF1tZWFBYWYsSIEc5Z2NaL+rt372j69OkEgLy8vOjgwYN2f5DPBU2aI0eOkJ+fH505c8Yp69k8QTt//jy+fPkC4NdvoP/0gYc1uKDZpra2FklJSYiMjER2djb69+8v32JyPkm8s+1Dr9dTamoqhYaGynryZtdbL0EQUFhYiJaWFgC/DlZCQ0NtPki8sx1Ddnmz96mor6+n2NhYAkDe3t6UlZVl87Wbd7bjNDQ0UEJCAk2bNo3evn3brXMrysrKaMmSJSAivH//3taDAVEUO1m5r6+vVSv38vJCQ0MD7+y/4OjRo8jIyEBWVhaSkpK6ZU6FXq+nxsZGAMDHjx+tDjSZTMjNze34h+D4+HhkZGRInpHrdDpER0czG/br169RV1eHWbNmAQD0en3Hn/RNmDABarUaL1++RElJCeLi4hAeHt7p/qdPn0Kj0XSfvNnT/iaTifbu3UsLFy6khQsXUlFREYmiaPM+lrdxo9FIM2fOpJ07d3ZcO3HiBO3atYvS09OptraWTCYTpaWlkSAIdOjQIWpubu4yj06no02bNlFoaChVVFT8U03cxmUiNzeXMjMzO8LW6XSUmJhId+/e7WgUvV5P2dnZRER05coVevXqldX5rl27RoGBgbR79+6//sEC/5GADDx69AjBwcHw9/fvuNbS0oJp06Zhw4YNmD9/PgwGA/r27YugoCDk5OTAZDJh9OjRVuecO3cuqqqqUFZWhoiICNTX1ztcFw+7m9Hr9SgvL8ecOXM6Xff398fWrVtRWVmJ//77D/n5+QCA+fPnY/369ViwYIHNuZVKJb58+YJ+/fohKioK586dc6y4v9oP7ITFbVyr1VJkZCRNmTKFQkJCKCAggPLy8jqNKS0tpS1btjg0b1tbG02ePJl2795NRERPnjyh8PBwWrp0KX379s2uOXjYMpKfn9/xmq3X66m9vZ1EUaSsrCwqKSlxaK5169bRqlWrOl3T6XS0ceNGu+WNhy0jV69e7ejqkpISiouLo23bttGlS5ccmqehoYH69+9PLS0tVtcJCAigPXv2kCAIVufhYfcAKioqSK1WS44xn7zFxsZSfX39H8dwQesBDBw4EE1NTZJjhg0bhqtXr2LRokWIiopCUVFR10FyPIlmeGd3D6Iokr+/P1VVVdk1vqamhsLDw2nZsmWd5E32LxyOHDnSZd+58iRyc3Px5s0b7Nu3z67x7e3tOHDgAG7duoW8vDzEx8fL+wc6zc3NWLx4MT58+CDXEswgiiJEUYRSqXTovh8/fsDHxweZmZnyhg38KrJXL64G7oDsYXPcB95yDMHDZggeNkPwsBmCh80QPGyG4GEzBA+bIXjYDMHDZggeNkPwsBmCh80QPGyG4GEzBA+bIXjYDMHDZggeNkPwsBmCh80QPGyG4GEzBA+bIXjYDMHDZggeNkPwsBmCh80QPGyG4GEzBA+bIXjYDMHDZoj/AeVMCCYqBECeAAAAAElFTkSuQmCC)
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,iVBORw0KGgoAAAANSUhEUgAAAF8AAABfCAYAAACOTBv1AAAO90lEQVR4nO2ceVBT1xfHT5AuIhJtpdQOZCg8EFIUBAGXaquDoJaCWqlFaxWtjlXEqpTBqrXqFKQYimO1gI5bKS4jal0GBStKFQTXYm2EFJVNEQSDEhFI8v394c+MYc3ywgObzz8Mefeec/K999137vLCAwAywgkmXAfwX8YoPocYxecQo/gc0i3Fv3jxItchsEK3E//06dM0Z84cqqur4zoUveF1p1RToVCQh4cHDR8+nPr06UNRUVFch6QX3arnJyQk0NChQ0kkElFqairduXOH65D0A92E6upq2Nvbo6qqCgCQkpKCoKAgjqPSj27T81etWkVhYWHUr18/IiIKDg6m8vJyOnfuHMeR6QHXra8J+fn5GDhwIJqamtQ+z83NhaenJ5RKJUeR6Ue36PmLFy8mkUhEpqamap97eXnRgAEDaNeuXRxFpidct35HHDhwAIGBgW1eLysrA8MwqKur68So2KFV8evq6uDl5YUbN250djxq1NfXY8CAASgqKmq33Pfff48VK1bo5UupVCI4OBh37tzRy442tNnz9+3bBysrK6Snp3daMM1Zu3YtIiMjOyz35MkTODg4oLi4WGdfiYmJGDlyZKc+P9oddnJycvDOO+8gMTGxs+JRUVpaCoZh8PjxY43KJycnY+rUqTr5Kisrg5WVFQoKCnSqrysdjvm3bt2CUChEeHh4p/aK4OBg7N69W+PySqUSw4YNw/nz57X25e/vj/Xr12tdT180euBKpVL4+Phg8uTJePLkiaFjwp9//olhw4Zp3dg5OTnw8vLSql5KSgo8PDwgl8sBAI2NjXj48KFGdWUyGRoaGrSK8UU0znaamprw5ZdfwtPTE/fu3dPZYUcoFAp4eHggLy9Pp/rTpk3Drl27NCpbVVWF/v3749q1awCAf/75B6GhoRg8eDCWL18O4Nkd5e7uDhsbGwgEAvD5fJw/fx4nT57Ehg0b8MMPP+g8XGmdasbExMDW1hb5+fk6OeyIpKQkzJo1S+f6paWlcHBw0Cj1DA4OVsuSnmd3MpkMrq6uAIDbt2/j5s2bqjITJ06EQqHAzz//DOBZ42zevFmnWHXK81NTU2FlZYUTJ07o5LQtpFIp7O3t9b6zvvvuO6xatardMkeOHIGzszOePn3a4lpFRQWSk5NbfH79+nVEREQAAPbv348DBw5g586dyM7O1ilOnSdZeXl5sLa2xpYtW3Q10YIlS5bgxx9/1NuOTCaDg4MDSkpKWr0ulUphY2PTqmjXrl2Dq6srFi1a1OJaeHg4/vrrL9X/xcXFePDggc5x6jXDLS4uhouLC5YsWQKFQqGPKYjFYgiFQr0eYC+ye/duBAcHt3otJCQE48ePb7OuVCqFUChUe+40NTVh7NixrMT2HL2XF2pra+Hn54fAwEC9pvh+fn44evSovuGoUCqV8Pb2btG7T58+DYFAABcXF6xevbrN+uHh4bh165bq/2PHjiE6Opq1+AAWxAcAuVyO+fPnw93dHeXl5VrXP3r0KMaNG8dGKGpkZ2fD29tblXrKZDIwDIOMjAzU1NSAYRgcO3ZMVf6XX35Beno6jh07BpFIpGYrKChIrxl0a7C6sCYSiSAQCFSpmyY0NDRAKBSqZRRs8tlnn+HXX38FACxduhQhISGqa/v27cP777+v+l8sFiMtLU1NZIlEgrS0NKxevRr79u1TzQfYoFXxf//9d4SGhiI0NBQ1NTUAnvXOSZMmISEhQVXu0qVLiIuLw549e1SfTZgwAZaWljh+/LhGAcTExGDp0qX6fId2KS4uhoODA86ePQtra2u1CVRDQwN69+6N2traNuvfv38fc+fOBY/HAxFBIBBg2bJl2LRpE1avXq3zfAQATJsvMT99+pTy8vJozJgx1KtXL+rbty/duHGDzM3NKSEhgXx9fcnT05Pc3d3p1KlTFBERQVlZWXThwgW6e/cuKRQKSktLo0mTJlFERASFhoa2uZxdUVFBSUlJdPnyZYMtmQsEApoyZQpNmTKFkpKSqE+fPgSApFIpVVZWkq2tLf30009kZWVFVVVVVFlZqfqbn59PMpmMGhsbycTEhBQKBZWUlJBIJKKPP/6Yhg8fThYWFjrH1kL8bdu2UVFREY0dO5ZGjRpFRETvvfee6npgYCDZ2toSEZFSqSQiIgDE4/EoJiaG1q1bRx4eHpSdnU3+/v5UWFhI8fHxZGLSct9m+fLlFBkZSXw+X+cv0BoAqKSkhG7evElisZjS0tLo4cOHtHz5clqwYAHV1tYSn88nS0tLIiK6fPky2dnZkaWlJQ0aNIgsLS3prbfeorS0NHr33XepX79+FBUVRbm5ufTmm2/S3r17ycfHR+84WxwdKSgooKysLIqNjaWZM2fSihUriIiotraW9u/fT0VFRRQdHU08Ho+Kioro5MmTxDAMeXh4kK2tLVVXV9Orr75KRER1dXU0depUMjExoT179pC5ubnKT15eHi1cuJByc3NbbRgiIolEQocPH6aKigpqamqisLAwYhhGdb2xsZEkEgmJxWKV0GKxmCQSCb3xxhvk7OxMlpaWdOTIEQoJCaFbt27Rzp07qW/fvsTj8TQSqLq6mubNm0eVlZVkY2NDUVFRqs6nN22NR7W1tbCyslKNkQ0NDcjKysKAAQNanf3l5ORg2LBhLT6Xy+UIDQ2Fm5sbysrKADxLA4cOHYpz5861OyYqlUocPHgQtra2ICLweDy4urpi7NixcHBwQM+ePSEUCjF58mSsWLECycnJuHz5sirllcvl8PT0xO7du6FUKuHl5YULFy5oNB53Bu1mO1988UWLnZ3jx49j5cqVLcpmZGS0my5u3LgRNjY2uHLlCnbt2oVp06a1KFNWVoaMjAxs2rQJTk5OMDc3h4mJiUp4IkKPHj2wePFi3Lx5s8WGenNiY2PVJlPnzp1rtYNwRYsx//r168QwDEmlUjI1NSWBQEAPHz4kMzMzeu2116iwsJCCgoJa3EGvvPIKyWSyNu+wsLAwsrOzo3HjxpFSqaT169dTdHS0argoKCggMzMzcnZ2JmdnZ/L39ycnJydycHCgiIgIys3NJWtra0pNTSUvL68O7+iioiKKjY1VO9c5YsQIsrGxoZSUFJo2bZpGI4NBad4a69evx4wZMyASiVRT/RMnTmD27NnYunUrLl261Gor1tTUwNzcvNWFKuDZamNUVBT4fD5MTU0hFArxzTffYPv27cjJyWl1Db2+vh6RkZH46quvsGbNGty/f1+jHqVUKvHhhx+2utp4584dODo6dsq+REewOskaPXq02lq6TCZDcnIyfHx80KtXL3z00UewtrZGYWEh3N3dsWDBAlYnLc9JSEhodz/222+/xZo1a1j3qy16i//48WPVEvDhw4fh5OSEzMxMzJ49GxYWFhgxYgSSkpIglUoREBCA1NRUAM9OSAQEBGD8+PF49OiRvmGoKC0t7XA/9vHjx2AYRpUAcIXO4p89exbTp0+HmZkZiAg2NjYYNGgQ+Hw+BAIBVq5cicLCQlX5kydPYsyYMWo2FAoFvv76awwaNKjN5V9t0XQ/dvv27ZgxYwYrPnVFZ/Hr6+uRnJwMoVCIHj16gIhgYmKCxMTEFrd7U1MTBg4ciOvXr7dqa/PmzbC2tm7zeaIpv/32m9p+bHsolUoMGTJEr+UBfdFafIVCgfT0dEyfPh08Hg98Ph+9evUCEWHnzp2t1omPj8fChQvbtZuWloa3334bhw4d0jYkAEBlZSX69++vttnREVlZWRgxYoRO/thAY/HFYjEiIyNhbW0NhmGwdu1aiMVi+Pr6omfPnm0ebqqqqoK9vT2qq6s79JGfnw9bW1ts2LBB82/wf6ZPn97q/KMjpkyZorYw2Jm0K35NTQ22bNkCb29v8Pl8zJ07V21WevXqVRw8eBAymaxNG/PmzdNqg/nevXsYMmQI5s+f3+Ek6kUuXryo0y7Y7du34ejoiPr6eq3r6kur4svlcnz66acwMzODn58fUlJSdMqLr169Cjc3N63TSZlMhkmTJsHX17fd5V62iIyMxLp16wzupzlt9vw9e/botCv1IqNGjcLp06d1qqtUKhEeHg4XFxeDH1599OgRGIbB3bt3DeqnOQY7Ir5371588sknettJTExkJRPqiG3btmHmzJkG9dEcg4gvk8ng6OiI27dvs2IvPT3dYIe0nvP8pJyhG/lFDCK+JoeWuiJnzpzByJEjO80f6+IXFxfD0dGx3QyoKzN58mTs37+/U3yxLn5QUBBSUlLYNttpFBUVwcnJqc3VWTZh9YW4M2fO0L179yg4OJhNs52KnZ0dBQQEUFxcnOGdsdWKcrkcgwcPxpUrV9gyyRm1tbVgGMagR+EBFnv+1q1bycPDgwYPHsyWSc6wsLCgiIgI1eEBg8FGC9bU1MDe3h6VlZVsmOsSKBQKg9/JrIi/aNEixMXFsWGqS5GZmYkPPvjAYPb1Fv/vv/+Gi4sLGhsb2YinyzFx4kQcOHDAILb1Ft/Hx4f1N1S6Ev/++6/BUk+9HriHDx+m119/nfz8/Nh6BHU57O3tyd/fn+Lj49k3rmurPX36FE5OTpBIJGx2hi7J89SzoqKCVbs693yRSEQBAQFqZydfViwsLCg8PJxWrlzJrmFdWqy8vBwMw7B65KOrI5fL4ebmptWLHx2hk/iff/45duzYwVoQ3YU//vgDo0ePZs2e1sNOTk4OSSQSmjlzJru3YDdgzJgx1Lt3bzp06BA7BrVpKaVSCU9Pzy51zLqzkUgkcHZ2ZuWVVa16/o4dO8jZ2Zm8vb3ZafluCMMwNH78eNq4caP+xjRtpefpVmdvMndFnv9MgaanpttC456/bt06mjNnDvXv31//Fu/m8Pl8WrZsGa1atUo/Q5q0UEFBQZs/EvFfRS6Xw9XVVavjic3R6LeUx40bR7NmzaIJEybo19IvGZmZmRQfH0+ZmZk61W/xWlBzMjIy6MGDB7Rw4UKdHLzsWFlZ0alTp3R6NbRb/Yr4y0a3+EXZlxWj+BxiFJ9DjOJziFF8DjGKzyFG8TnEKD6HGMXnEKP4HGIUn0OM4nOIUXwOMYrPIUbxOcQoPocYxecQo/gcYhSfQ4zic4hRfA4xis8hRvE5xCg+hxjF55D/ARo/E4xVcVkFAAAAAElFTkSuQmCC)
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,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=)
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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)
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