Qstnid -Iv-7-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? - 20: Dispersion And Spectra - Neet-xii-physics

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NEET-XII-Physics

20: dispersion and Spectra

with Solutions - page 2

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#7
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?
Ans : Let A be the angle of the prisms.
Refractive indices of the prisms for violet light, μ₁ = 1.52 and μ₂ = 1.62
Angle of deviation, δ = 1.0°
As the prisms are oppositely directed, the angle of deviation is given by
δ = (μ₂ - 1)A - (μ₁ - 1)A
δ = (μ₂ -μ₁ )A
`` A=\frac{\delta }{{\mu }_{2}-{\mu }_{1}}=\frac{1}{(1.62)-(1.52)}=\frac{1}{0.1}``
`` \Rightarrow A=10°``
So, the angle of the prisms is 10^∘.
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