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Question: Answered & Verified by Expert
A ray of light is travelling from glass to air. (refractive index of glass $=1.5$ ). The angle of incidence is $50^{\circ}$. The deviation of the ray is
PhysicsRay OpticsKCETKCET 2007
Options:
  • A $0^{\circ}$
  • B $80^{\circ}$
  • C $50^{\circ}-\sin ^{-1}\left[\frac{\sin 50^{\circ}}{1.5}\right]$
  • D $\sin ^{-1}\left[\frac{\sin 50^{\circ}}{1.5}\right]-50^{\circ}$
Solution:
1230 Upvotes Verified Answer
The correct answer is: $80^{\circ}$
Refractive index, ${ }^{a} \mu_{g}=1.5$
$\Rightarrow \quad C=42^{\circ}$
Critical angle for glass $=42^{\circ}$
When the angle of incidence in the denser medium is greater than the critical angle, reflection takes place inside the denser medium.



Hence, a ray of light incident at $50^{\circ}$ in glass medium undergoes total internal reflection.
Deviation $(\delta)=180^{\circ}-\left(50^{\circ}+50^{\circ}\right)$
(from the-figure)
or
$$
\delta=80^{\circ}
$$

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