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Question

Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The angle of prism of these two glasses are 6 and 8 respectively. The refractive index of flint glass for yellow ray is 1.7. The referactive index of crown glass prism for yellow ray will be :

A
1.75
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B
1.5
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C
1.2
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D
1.45
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Solution

The correct option is B 1.5
We know that, for dispersion without deviation :
δ1+δ2=0
A(μ1)+A(μ1)=0, where A is the angle of flint glass prism and A is the angle of crown glass prism.
Also, μ and μ are refractive indices of flint glass prism and crown glass prism respectively for yellow ray.
μ=AA(μ1)+1
From the data given in the question,
μ=(68)(1.71)+1
( one of the prism is inverted so it's angle is considered to be negative)
μ=0.52+1
Or, μ=1.521.5

Hence, option (c) is the correct answer.

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