Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsRefraction at curved surface/LensEasy2 minPYQ_2020

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A beam of diameter $d$ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to $d$ , then the diameter of the beam at the base of the hemisphere will be

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Solution:

$\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R} \Rightarrow \frac{3}{2 v} - \frac{1}{∞} = \frac{\frac{3}{2} - 1}{R} \Rightarrow \frac{3}{2 v} = \frac{1}{2 R}$

$v = 3 R \Rightarrow \frac{d}{3 R} = \frac{d^{'}}{2 R} \Rightarrow d^{'} = \frac{2}{3} d$

Subject:PhysicsTopic:Geometrical OpticsSubtopic:Refraction at curved surface/Lens

⏱ 2mℹ️ Source: PYQ_2020

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