One face of a prism with a refracting angle of 3 0 ∘ is coated with silver. A ray incident on other face at an angle of 4 5 ∘ is refracted and reflected from the silvered coated face and retraces its path. The refractive index of the prism is :

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Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsTIR/Prism and DispersionMedium2 minQB

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One face of a prism with a refracting angle of $3 0^{\circ}$ is coated with silver. A ray incident on other face at an angle of $4 5^{\circ}$ is refracted and reflected from the silvered coated face and retraces its path. The refractive index of the prism is :

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Answer:

Solution:

Ray retraces its path, so it falls normally on the silvered face

$r_{1} = A = 3 0^{\circ}$

$μ = \frac{sin 4 5 ^{\circ}}{sin 3 0 ^{\circ}} = 2$

Stream:JEESubject:PhysicsTopic:Geometrical OpticsSubtopic:TIR/Prism and Dispersion

⏱ 2mℹ️ Source: QB

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