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A thin prism P with angle 4^(@) and made...

A thin prism P with angle `4^(@)` and made from glass of refractive index 1.54 is combined with another thin prism P made from glass of refractive index 1.72 to produce dispersion without deviation The angle of prism P is

A

`5.33^(@)`

B

`4^(@)`

C

`2.6^(@)`

D

`3^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
The deviation produced as light passes through a thin prism of angle A and refractive index `mu` is `delta=A(mu-1)`. We want deviation produced by both prism to be zero.
`delta=delta.`
`rArr" "A(mu-1)=A.(mu.-1) rArr A.=(4xx(1.54-1))/((1.72-1))`
`=4xx0.75=3^(@)`
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