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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 :

a
300
b
450
c
600
d
750

detailed solution

Correct option is C

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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