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Calculate the angle of minimum deviation for a ray which ...

Calculate the angle of minimum deviation for a ray which is refracted through an equiangular prism of refractive index 1.4

A.

600

B.

290

C.

990

D.

900

Correct answer is B

From the relation refractive index = Sin (A+Dm2)

Where A = refractive angle = 600, Sin(A2)

1.4=Sin(600+Dm2)Sin(602)=Sin(60+Dm2)Sin300=Sin(60+Dm2)0.5Therefore1.4×0.5=Sin(60+Dm2)Therefore(60+Dm2)=Sin10.7000=440121600+Dm=880241Dm=880241600=28024290