1.

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

Answer» Correct Answer - d.
From `sin((A+delta_(m))/(2))=mu "sin"(A)/(2)`
`sin((A+delta_(m))/(2))=("cos"(A)/(2))/("sin"(A)/(2))xx"sin"(A)/(2)`
`(A+delta_(m))/(2)=(pi)/(2)-(A)/(2)`
`delta_(m)=pi-2A=180^(@)-2A`


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