1.

For a glass prism (mu = sqrt(3)) , the angle of minimum deviation is equal to the angle of the prism . Find the angle of the prism .

Answer»

SOLUTION :REFRACTIVE INDEX of material of prism.
`mu=(SIN""((A+D_m)/(2)))/(sin(A/2))`
but `D_m = A`
`thereforemu= sin A /("sin"A/2)`
`= (2 sin""A/2 cos"" A/2)/(sin ""A/2) [ because sin theta = 2 sin"" theta/2cos ""theta/2]`
`thereforesqrt(3) = 2 cos""A/2`
`therefore cos""A/2 = sqrt(3)/(2)`
`therefore A/2 = 30^@`
`thereforeA = 60^@`


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