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Q.

A ray of monochromatic light is incident on one refracting face of a prism of angle 75°. 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

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a

30°

b

45°

c

60°

d

answer is B.

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Detailed Solution

From figure A=r1+c=r1+sin−11μ⇒r1=75−sin−11μ⇒75−45=30oFrom   Snell's   law   At  Bμ=sin  isin   r2⇒2=sin  isin  30o⇒i=45o
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A ray of monochromatic light is incident on one refracting face of a prism of angle 75°. 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