A thin prism with angle $5^{\circ}$ of refractive index 1.72 is combined with another prism of refra

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A thin prism with angle $5^{\circ}$ of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is $\_\_\_\_$ .

Accepted Answer

$\delta_{	ext{net~}} = 0$$$\begin{matrix} & \delta_{1} + \delta_{2} = 0 \ & \left( \mu_{1} - 1 ight)A_{1} + \left( \mu_{2} - 1 ight)A_{2} = 0 \ & {	ext{ }A}_{2} = \frac{\left( \mu_{1} - 1 ight)A_{1}}{\left( \mu_{2} - 1 ight)} \ & A_{2} = \frac{(1.72 - 1)}{(1.9 - 1)} 	imes 5^{\circ} = 4^{\circ} \end{matrix}$$

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