Ray Optics and Optical Instruments - Result Question 62

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65. The refractive index of the material of the prism is $\sqrt{3}$; then the angle of minimum deviation of the prism is

======= ####65. The refractive index of the material of the prism is $\sqrt{3}$; then the angle of minimum deviation of the prism is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/ray-optics-and-optical-instruments/ray-optics-and-optical-instruments—result-question-62.md (a) $30^{\circ}$

(b) $45^{\circ}$

(c) $60^{\circ}$

(d) $75^{\circ}$

[1999]

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Answer:

Correct Answer: 65. (c)

Solution:

  1. (c) Angle of minimum deviation

$ \begin{aligned} & \mu=\frac{\sin (\frac{A+\delta_m}{2})}{\sin (\frac{A}{2})} \Rightarrow \sqrt{3}=\frac{\sin (\frac{60^{\circ}+\delta_m}{2})}{\sin (\frac{60^{\circ}}{2})} \\ & \Rightarrow \sin (30^{\circ}+\frac{\delta_m}{2})=\frac{\sqrt{3}}{2} \Rightarrow 30^{\circ}+\frac{\delta_m}{2}=60^{\circ} \\ & \Rightarrow \delta_m=60^{\circ} . \end{aligned} $