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Question -

Figures 9.34(a) and (b)show refraction of a ray in air incident at 60° with the normal to a glass-airand water-air interface, respectively. Predict the angle of refraction in glasswhen the angle of incidence in water is 45º with the normal to a water-glassinterface [Fig. 9.34(c)].



Answer -

As per the given figure,for the glass − air interface:

Angle of incidence, = 60°

Angle of refraction, r =35°

The relative refractiveindex of glass with respect to air is given by Snell’s law as:

As per the given figure,for the air − water interface:

Angle of incidence, i = 60°

Angle of refraction, r =47°

Therelative refractive index of water with respect to air is given by Snell’s lawas:

Using (1) and (2), therelative refractive index of glass with respect to water can be obtained as:

The following figure showsthe situation involving the glass − water interface.

Angle of incidence, i = 45°

Angle of refraction = r

From Snell’s law, r can becalculated as:

Hence,the angle of refraction at the water − glass interface is 38.68°.

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