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Two prisms of identical geometrical shap...

Two prisms of identical geometrical shape are combined with their refracting angles oppositely directed. The materials of the prisms have refractive indices 1.52 and 1.62 for violet light. A violet ray is deviated by `1.0^@` when passes symmetrically through this combination. What is the angle of the prisms ?

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The correct Answer is:
A
Two prisms of identical geometrical shape are combined
`Ler A=angle of the prisms
`mu_y=1.52 and mu_y=1.62`
`mu_y=1.0^@`
`delta_y=(mu_y-1)A-(mu_y-1)A` [since A=a]
`delta_y=(mu_y-mu_y)A`
`A=delta_y/(mu_y=mu_y)=1/((1.62)-(1.52))`
`=1/0.1=10^@`
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