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A prism of refractive index mu = 1.5 and...

A prism of refractive index `mu` = 1.5 and prisim angle `15^@` is arranged with another prism ( refractive index `mu_2` = 1.75. If this combination gives the dispersion without deviation, the what should be the prism angle of second prism ?

A

`7^@`

B

`10^@`

C

`12^@`

D

`5^@`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Deviation = zero
Hence, `delta=delta_1+delta_2=0`
`(mu_1-1)A_1+(mu_2-1)A_2=0`
`A_2(1.75-1)=-(1.5-1)15^@`
`A_2=-(0.5)/(0.75)xx15^@`
`A_2=-10^@`
negative sign represents that second prism is inversely connected with first prism.
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