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The angle of minimum deviation for a gla...

The angle of minimum deviation for a glass prism with `mu=sqrt3` equals the refracting angle of the prism. What is the angle of the prism?

Text Solution

Verified by Experts

Here, `mu = sqrt(3), delta_m = A`
From prism formula `mu = (sin(A + delta_m)//2)/(sin A//2)`
`sqrt(3) = (sin A)/(sin A//2) = (2 sin A//2 cos A//2)/(sin A//2) = 2 cos A//2`
`cos A//2 = (sqrt(3))/(2) = cos 30^@`
`A//2 = 30^@` or `A = 60^@`
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