For a prism of refractive index √3, the angle of minimum deviation is equal to the refractive angle of prism.

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Q.For a prism of refractive index √3, the angle of minimum deviation is equal to the refractive angle of prism. The angle of refractive prism is

(a) 60°

(b) 45°

(d) 90°

West Bengal WbchseWest Bengal HS (WBCHSE) Board 2023MCQ· 1mImportance★★★★★

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Using the prism formula with the minimum-deviation angle equal to the prism angle simplifies to n = 2cos(A/2); solving with n = √3 gives A = 60°.

The standard prism relation connecting refractive index $n$ , prism angle $A$ , and angle of minimum deviation $D_m$ is:

$n = \dfrac{\sin\left(\dfrac{A+D_m}{2}\right)}{\sin\left(\dfrac{A}{2}\right)}$

Here it is given that $D_m = A$ . Substituting: …

Q.For a prism of refractive index √3, the angle of minimum deviation is equal to the refractive angle of prism. The angle of refractive prism is