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Q.

The refracting angle of a prism, made of a transparent material is 120o. A ray of light is incident on one refracting surface of the prism. What should be the maximum refracting index of the material of the prism for which the ray of light can pass into the surrounding air through the other refracting surface?

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a

32

b

3

c

2/3

d

2

answer is C.

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Detailed Solution

To get an emergent ray through the other refracting surface A≤2sin−11μ∴ sin−11μ≥A2⇒μ≤1sin A2∴ μmax=1sin A2=1sin120o2=23

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The refracting angle of a prism, made of a transparent material is 120o. A ray of light is incident on one refracting surface of the prism. What should be the maximum refracting index of the material of the prism for which the ray of light can pass into the surrounding air through the other refracting surface?