Predict the angle of refraction in glass, Physics

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Q. Figure s (a) and (b) show refraction of a ray in air incident at 60°with the normal to a glass

1979_Predict the angle of refraction in glass5.png

Answer

According to the given figure for the glass-air interface:

>>Angle of incidence i=60°

>>Angle of refraction r=35°

>>A relative refractive index of glass with respect to air is given by Snell's law as

1882_Predict the angle of refraction in glass.png

According to the given figure for the air-water interface:

Angle of incidence i=60°

Angle of refraction r=47°

>>A relative refractive index of water with respect to air is given by Snell's law as

1802_Predict the angle of refraction in glass1.png

Using (1) as well as (2) the relative refractive index of glass with respect to water can be

Obtained as:

442_Predict the angle of refraction in glass2.png

The subsequent figure shows the situation involving the glass-water interface.

2329_Predict the angle of refraction in glass3.png

Angle of incidence, i=45°

Angle of refraction=r

From Snell's law, r can be calculated as:

424_Predict the angle of refraction in glass4.png

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


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