First slide

Ray optics

Question

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

Easy

A

6°
B

8°
C

10°
D

4°

Solution

The condition for dispersion without deviation is given as $(μ - 1) A = (μ^{'} - 1) A^{'}$
$Given μ = 1.42, A = 10 °, μ^{'} = 1.7, A^{'} = ?$
$∴ (1.42 - 1) \times 10 = (1.7 - 1) A^{'}$
$(0.42) \times 10 = 0.7 \times A^{'}$
$or, A^{'} = \frac{0.42 \times 10}{0.7} = 6 °$

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