1.

The refracting angle of a prism is `A`, the refractive index of the material of the prism is `cot((A)/(2))`. The angle of minimum deviation is :A. `180^@ - 2A`B. `90^@ - A`C. `180^@ - 2A`D. `180^@ - 3A`.

Answer» Correct Answer - A
Here, `mu = cot(A//2)`
Acc. To prism formula,
`mu- (si n((A + delta_m)/(2)))/(sin(A//2)) = (cos A//2)/(sin A//2)`
`:. si n((A + delta_m)/(2)) = cos A//2 = sn (90^@ - A//2)`
`(A + delta_m)/(2) = 90^@ - A//2` or `delta_m = (180^@ - 2 A)`.


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