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The refracting angle of a prism is A and...

The refracting angle of a prism is `A` and refractive index of the material of the prism is `cos(A//2)`. The angle of minimum deviation is

A

`90^(@)- A`

B

`180^(@) + 2A`

C

`180^(@) - 3A`

D

`180^(@) - 2A`

Text Solution

Verified by Experts

The correct Answer is:
4

`mu=2/(sin (A/2)) = cot A/2`
sin`(A+delta)/2 = cos A/2`
`(A+delta)/2 = pi/2 - A/2`
`delta = pi - 2A`
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