Question

A ray of light undergoes refraction and looses 0.25 times of its velocity .if i is the angle of incidence and is very small , the angle of deviation for the ray of light is

Answer 1

Answer:

the angle of deviation for the ray of light is 0.75 times the angle of incidence

Explanation:

As per law of refraction we know that

$\mu_1 sin i = \mu_2 sin r$

here we know that

$\frac{\mu_1}{\mu_2} = \frac{v_2}{v_1}$

now we know that

$v_2 = 0.75 v_1$

so we have

$\frac{\mu_1}{\mu_2} = 0.75$

now for small angle we have

$r = \frac{\mu_1}{\mu_2} i$

$r = 0.75 i$

so angle of deviation is given as

$\delta = i - r$

$\delta = 0.25 i$

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Topic : Refraction and Snell's Law

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