1.

A small angled prism of refractive index 1.4 is combined with another small angled prism of refractive index 1.6 to produce disperison without deviation. If the angle of first prism is `6(@)`, then the angle of the second prism isA. `8^(@)`B. `6^(@)`C. `4^(@)`D. `2^(@)`

Answer» Correct Answer - C
We know about the thin prism, `delta_(m)=(mu-1)A`
In given condition, `A_(1)(mu_(1)-1)A_(2)(mu_(2)-1)`
Given, `mu_(1)=1.4, mu_(2)=1.6 and A_(1)=6^(@)`
`"Now", 6(1.4-1)=A_(2)(1.6-1)`
`A_(2)=(6xx0.4)/(0.6) Rightarrow A_(2)=(2.4)/(0.6)`
`A_(2)=4^(@)`
Hence, the angle of the second prism is `4^(@)`.


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