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# A ray of light is incident normally on one face of a prism as shown in figure. The refractive index of the material of the prism is 53 and the prism is immersed in water of refractive index 43 thenThe angle of emergence Θ2 of the ray is sin−1(58)The angle of emergence Θ2 of the ray is sin−1(73√4)Total internal reflection will not occur at P if the refractive index of water increases to a value greater than 52√3 by dissolving some substanceThe angle of emergence Θ2 of the ray is sin−1(54√3)

A
The angle of emergence Θ2 of the ray is sin1(734)
B
Total internal reflection will not occur at P if the refractive index of water increases to a value greater than 523 by dissolving some substance
C
The angle of emergence Θ2 of the ray is sin1(543)
D
The angle of emergence Θ2 of the ray is sin1(58)
Solution
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#### Initially at P, there is TIR, There force at Q (snells law)53sin300=43sinΘ2⇒sinΘ2=58⇒Θ2=sin−1(58)If μw>52√3⇒sinC>5/2√32/3⇒C>600Therefore, now TIR will not occur at P

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