Question

For the same angle of incidence in media L, M and N, the angles of refraction are 45",35" and 15" respectively. In which medium will the velocity of light be minimum ?​ give reason for your answer.​

Answer 1

The velocity of light will be minimum in medium N

Explanation:

Given:

For the same angle of incidence in media L, M and N, the angle of refraction are 45",35" and 15" respectively

To find out:

In which medium will the velocity of light be minimum

Solution:

If the refractive index of any particular medium w.r.t. air is n then

By Snell's law

$n=\frac{\sin i}{\sin r}$

Where i is the angle of incidence and r is the angle of refraction

If the speed of light in the medium is v and speed of light in vacuum is c then

$n=\frac{c}{v}$

$\implies \frac{c}{v}=\frac{\sin i}{\sin r}$

$\implies v=\frac{c\sin r}{\sin i}$

$\implies v\propto \sin r$    (Since angle of incidence is constant)

Thus, the velocity will be more in a medium whose angle of refraction is more

Therefore, medium L will have maximum velocity while medium N will have minimum velocity

Hope this answer is helpful.

Know More:

Q: for the same angle of incidence in media p,q,r the angle of refraction are 45,35and15 degree.in which medium will the velocity of light be minimum? give reason

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