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The angle of a crown glass prism of refr...

The angle of a crown glass prism of refractive index 1.52 is `6^(@)` . What should be the angle of a flint glass prism of refractive index `1.65` , so that the two prisms produce a direct vision prism ?

A

`3.5 ^(@)`

B

`4.8 ^(@)`

C

`5.4 ^(@)`

D

`2.5^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

In a direct vision prism , we get dispersion without deviations . For this we combine two prisms of different materials and of different angles . The condition for dispersion without deviation is
`(A)/(A') = (n'_(y) - 1)/(n_(y) - 1)`
`therefore (6^(@))/(A') = (1.65 -1)/(1.52 - 1) = (0.65)/(0.52) = (5)/(4)`
`therefore A' = ((4)/(5) xx 6^(@)) = 4.8^(@)`
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