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  3. Physics
  4. A ray of light travelling in a transparent medium falls on a surface separating the medium from air, at an angle of incidence of 45° . The ray undergoes total internal reflection. If, μ is refractive index of the medium w.r.t. air, select the possible values of μ from the following

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Q. A ray of light travelling in a transparent medium falls on a surface separating the medium from air, at an angle of incidence of $45^{\circ} .$ The ray undergoes total internal reflection. If, $\mu$ is refractive index of the medium w.r.t. air, select the possible values of $\mu$ from the following

Wave Optics

Solution:

For total internal reflection, $i > C$
Therefore, $C < 45^{\circ}$
As $\mu=\frac{1}{\sin C}$
$\therefore \mu > \frac{4}{\sin 45^{\circ}}$
or, $\mu > \sqrt{2}$
The possible values of $\mu$ are $1.5$ and $1.6$