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Q. A thin prism $P_1$ with an angle $6^{\circ}$ and made of glass of refractive index $1.54$ is combined with another prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without average deviation. The angle of prism $P_2$ is

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Solution:

$ \delta_1= \delta_2 $ [for no average deviation]
$ \Rightarrow 6^{\circ}(1.54-1)= A (1.72-1) $
$ \Rightarrow A =\frac{6^{\circ} \times 0.54}{0.72} $
$=\frac{18^{\circ}}{4}=4.5^{\circ}$