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A thin glass prism has a refracting ang...

A thin glass prism has a refracting angle `6^(@)` . The refractive indices of the material of the prism for red and violet colours are `1.56` and `1.6` respectively . What is the angular dispersion ?

A

`0.15^(@)`

B

`0.20 ^(@)`

C

`0.24^(@)`

D

`0.32^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`n_(R) = 1.56 , n_(V) = 1.6 , A = 6^(@)`
For a small angled prism , the deviations of violet and red colours are given by
`delta_(V) = A(n_(V) - 1) = 6^(@) (1.6- 1) = 3.6^(@)` and `delta_(R) = A(n_(R) - 1) = 6^(@) (1.56 - 1) = 3.36^(@)`
`therefore` Angular Dispersion = `delta_(V) - delta_(R)`
`=3.6^(@) - 3.36^(@) = 0.24^(@)`
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