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A thin prism having refracting angle 10^...

A thin prism having refracting angle `10^(@)` is made of glass of refracting index `1.42`. This prism is combined with another thin prism of glass of refractive index `1.7`. This combination produces dispersion without deviation. The refracting angle of second prism should be `:`

A

`6^@`

B

`8^@`

C

`10^@`

D

`4^@`

Text Solution

Verified by Experts

The correct Answer is:
A
For dispersion without deviation
`delta_1 - delta_2 = 0`
`delta_1 = delta_2`
`A_1[mu_1 - 1] = A_2[mu_2 - 1]`
`10[1.42 - 1] = A_2[1.7 - 1]`
`10 xx 0.42 = A_2 xx 0.7`
`A_3 = 6^@`
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