A ray of light strikes a glass plate at an angle of incidence 60^0 . If the reflected and refracted rays are perpendicular to each other in interface, what is the refractive index of glass ? a) 1 3 b) 32 c) 2 3 d) 3

Given: Angle of incidence i = 60^ Reflected and refracted rays are perpendicular, so angle of refraction r = 90^ i = 30^ Using Snell’s law: n 1 i = n 2 r For air glass interface, n 1 = 1 (refractive index of air): 1 60^ = n 2 30^ 32 = n 2 12 n 2 = 32 2 = 3 Answer: d) 3

A ray of light strikes a glass plate at an angle of incidence 60^0 . If the reflected… – Physics NEB 2080 Solution

Given:

Angle of incidence $i = 6 0^{\circ}$
Reflected and refracted rays are perpendicular, so angle of refraction $r = 9 0^{\circ} - i = 3 0^{\circ}$

Using Snell’s law: $n_{1} sin i = n_{2} sin r$ For air-glass interface, $n_{1} = 1$ (refractive index of air): $1 \cdot sin 6 0^{\circ} = n_{2} \cdot sin 3 0^{\circ}$ $\frac{3}{2} = n_{2} \cdot \frac{1}{2}$ $n_{2} = \frac{3}{2} \times 2 = 3$

Answer: d) $3$

A ray of light strikes a glass plate at an angle of incidence 60^0 . If the reflected and refracted rays are perpendicular to each other in interface, what is the refractive index of glass ? a) 1 3…

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