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  4. A ray of light is incident at an angle α on the boundary separating two transparent media. It is transmitted. If the angle of incidence is increased very slightly, the ray gets reflected in the same medium. The difference between angles of deviation in the two cases will be close to

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Q. A ray of light is incident at an angle $\alpha$ on the boundary separating two transparent media. It is transmitted. If the angle of incidence is increased very slightly, the ray gets reflected in the same medium. The difference between angles of deviation in the two cases will be close to

Ray Optics and Optical Instruments

Solution:

When the ray is incident at the critical angle $\alpha$, the angle of deviation is $\left(90^{\circ}-\alpha\right)$ whereas just after this (that is at an angle slightly greater than the critical angle) the angle of deviation is $\left(180^{\circ}-2 \alpha\right)$.