A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of the second prism is ________. [2026]

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Solution

Q.
A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of the second prism is ________. [2026]

1 4.5°

2 6°

3 5°

4 4°

Ans.
(4)

$δ_{net} = 0$

$δ_{1} + δ_{2} = 0$

$(μ_{1} - 1) A_{1} + (μ_{2} - 1) A_{2} = 0$

$A_{2} = \frac{(μ_{1} - 1) A_{1}}{(μ_{2} - 1)}$

$A_{2} = \frac{(1.72 - 1)}{(1.9 - 1)} \times 5 ° = 4 °$

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