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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

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For dispersion without deviation, the condition is d₁ + d₂ = 0, where d₁ , d₂ are deviations produced by two prisms.
$\begin{array}{l} ∴ (μ_{1} - 1) A + (μ_{2} - 1) A_{2} = 0 \\ A_{2} = - \frac{(μ_{1} - 1) A_{1}}{(μ_{2} - 1)} \\ A_{2} = - 6^{0} \end{array}$

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