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Physics Question on Ray optics and optical instruments

A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius R = 0.05 mR \,= \,0.05\, m and refractive index n = 1.51.5 placed on a horizontal table as shown in the figure. Beyond the cylinder, a patch of light is found whose nearest distance xx from the cylinder is

A

(33−4)×10−2m\left(3\sqrt{3}-4\right)\times10^{-2}m

B

(23−2)×10−2m\left(2\sqrt{3}-2\right)\times10^{-2}m

C

(35−5)×10−2m\left(3\sqrt{5}-5\right)\times10^{-2}m

D

(32−3)×10−2m\left(3\sqrt{2}-3\right)\times10^{-2}m

Answer

(35−5)×10−2m\left(3\sqrt{5}-5\right)\times10^{-2}m

Explanation

Solution

Given, radius R=0.05 mR = 0 .05 \,m
Refractive index n=1.5n = 1.5