Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsRefraction at plane surfaceHard2 minPYQ_2020

PhysicsHardnumerical

A light ray enters a solid glass sphere of refractive index $μ = \sqrt{3}$ at an angle of incidence $60 °$ . The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is _____________.

Answer:

90.00

Solution:

Apply Snell's law at S_
$1 \sin 60 ° = \sqrt{3} \sin r$
$\sin r = \frac{1}{2}$
$r = 30 °$
from geometry
$r^{'} = 30 °$
Again apply snell's law on $S_{2}$
$\sqrt{3} {sinr}^{'} = 1 sine$
$\frac{\sqrt{3}}{2} = sine$
$∴ e = 60 °$
from geometry
$r^{'} + θ + e = 180 °$
$θ = 90 °$

Stream:JEESubject:PhysicsTopic:Geometrical OpticsSubtopic:Refraction at plane surface

⏱ 2mℹ️ Source: PYQ_2020

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