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A prism with an angle A = 60^(@) produce...

A prism with an angle A = `60^(@)` produces an angle of minimum deviation of `30^(@)`. Find the refractive index of material of the prism.

Text Solution

Verified by Experts

Given, A=`60^(@)` and D=`30^(@)`
We know , `n=(sin((A+D)/(2)))/(sin"" A/2)=(sin ((90^(@))/(2)))/(sin30^(@))`
`=(sin45^(@))/(sin30^(@))`
`=(1)/(sqrt2)xx2/1 =sqrt2`
`therefore ` The refractive index of the given prism `=sqrt2`
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