Topic: Refraction at plane and spherical surfaces, thin lens and lens maker formula· Optics

A light ray falls on a glass surface of refractive index √(3), at an angle 60°. The angle between the refracted and reflected rays would be :

1. \(120°\)

2. \(30°\)

3. \(60°\)

4. \(90°\)

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Answer: 4. \(90°\)

Use Snell's law: \(\sin60^\circ=\sqrt3\sin r\Rightarrow\sin r=\tfrac12\Rightarrow r=30^\circ\).

The reflected ray makes \(60^\circ\) with the normal, the refracted ray \(30^\circ\), on opposite sides. The angle between them is \(180^\circ-60^\circ-30^\circ=90^\circ\).

(This is Brewster's condition, \(\tan i=\sqrt3\).) Option (4).

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A light ray falls on a glass surface of refractive index √(3), at an angle 60°. The angle between the refracted and reflected rays would be :

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