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A ray of light is incident on a water surface of refractive index 43 making an angle of 40° with the surface. Find the angle of refraction. -

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Question

A ray of light is incident on a water surface of refractive index `4/3` making an angle of 40° with the surface. Find the angle of refraction.

Numerical

Solution

`n=4/3`, i = 90° - 40° = 50° 

`n = sini/sinr`

`sinr=sini/n`

`=(sin50°)/(4/3)`

`=0.7660/(4/3)`

`=0.5745`

The angle of refraction,

r = sin-1(0.5745) = 35°4'

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