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Q.

A thin prism having refracting angle 10° is made of glass of refractive 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

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a

6°

b

8°

c

10°

d

4°

answer is A.

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Detailed Solution

The condition for dispersion without deviation is given as (μ-1)A=μ'-1A' Given μ=1.42,A=10°,μ'=1.7,A'=?∴(1.42-1)×10=(1.7-1)A'(0.42)×10=0.7×A' or, A'=0.42×100.7=6°

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