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A prism is made up of a material of refractive index 3. The angle of the prism is A0. If the angle of minimum deviation is equal to the angle of the prism, then the value of A is :

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a

300

b

450

c

600

d

750

answer is C.

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Detailed Solution

Given. μ=3,δm=Aμ=sin(A+δm2)sinA2or 3=sin(A+A2)sinA2=sinAsinA2=2sinA2cosA2sinA2=2cosA2∴ cosA2=32=cos300 or , A=600

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A prism is made up of a material of refractive index 3. The angle of the prism is A0. If the angle of minimum deviation is equal to the angle of the prism, then the value of A is :