Question

# A ray of monochromatic light is incident on one refracting face of a prism of angle 75o. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is √2, the angle of incidence on the first face of the prism is :

A
30o
B
45o
C
60o
D
0o
Solution
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#### Critical angle,C=sin−1(1μ)∴C=sin−1(1√2)∴C=450A=r1+r2750=r1+45∴r1=300Now,sinisinr=μ∴sini12=√2∴sini=√2×1√2=√2∴i=450

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