A thin prism $P_{1}$ with angle $4^{\circ}$ and made from glass of refractive index 1.54 is combined with another prism $P_{2}$ Made of glass of refractive index 1.72 to produce dispersion without deviation. The angle of prism $P_{2}$ is

{5.33}^{\circ}

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4^{\circ}

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3^{\circ}

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{2.6}^{\circ}

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Solution

The correct option is C $3^{\circ}$
Dispersion without deviation.
$(μ_{1} - 1) A_{1} = (μ_{2} - 1) A_{2} (1.54 - 1) 4^{\circ} = (1.72 - 1) A_{2} \frac{54 \times 4^{\circ}}{72} = A_{2} A_{2} = \frac{6}{2} = 3^{\circ}$

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