1.

A thin prism of angle `15^(@)` made of glass of refractive index `mu_(1)=1.5` is combined with another prism of glass of refractive index `mu_(2)=1.75`. The combination of the prism produces dispersion without deviation. The angle of the second prism should beA. `7^(@)`B. `10^(@)`C. `12^(@)`D. `5^(@)`

Answer» Correct Answer - B
Here, `A_(1) = 15^(@), mu_(1) = 1.5 , mu_(2) = 1.75, A_(2) = ?`
There will be no deviation for the combination of two prism if net deviation is zero, i.e.,
`delta_(1) + delta_(2) = 0`
or `(mu_(1) - 1) A_(1) + (mu_(2) - 1)A_(2) = 0`
or `A_(2) = -((mu_(1) - 1)A_(1))/((mu_(2) - 1)) = - ((1.5 - 1) 5^(@))/((1.75 - 1)) = - 10^(@)`
`-ve` sign shows that the second prism is placed in opposition to first prism.


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