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

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answer is 3.

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Detailed Solution

$S_{1} = (μ - 1) A_{1}; S_{2} = (μ_{2} - 1) A_{2} S_{1} + S_{2} = S_{n e t} b u t S_{n e t} = 0 \Rightarrow S_{1} = - S_{2} (μ_{1} - 1) A_{1} = (μ_{2} - 1) A_{2} \Rightarrow A_{2} = \frac{0.54 \times 4}{0.72} = 3^{0}$

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