A) \[90{}^\circ \]
B) \[60{}^\circ \]
C) \[45{}^\circ \]
D) \[30{}^\circ \]
Correct Answer: B
Solution :
Key Idea: Equilateral prism has all angles equal to \[3.2\times {{10}^{18}}\] each. Let a prism ABC be taken. For minimum angle of deviation \[1.25\times {{10}^{13}}\] the refractive index of material of prism is given by \[\Omega \] Since prism is an equilateral one, its angle is \[5\times {{10}^{-3}}mho\]. Given, \[2.5\times {{10}^{-3}}mho\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\sqrt{3}=\,\frac{\sin \,\left( \frac{{{60}^{0}}+\delta m}{2} \right)}{\sin \,\frac{{{60}^{0}}}{2}}\] \[{{10}^{5}}N/{{m}^{2}}\] \[\sqrt{200}m/s\] \[\sqrt{400}m/s\] \[\sqrt{500}m/s\] \[\sqrt{800}m/s\] Hence, minimum angle of deviation is equal to angle of prism. Note: A prism has only one angle of minimum deviation.You need to login to perform this action.
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