Question

A ray of light is incident at an angle of 45 at interface of a medium 1 and medium 2.If the angle of refraction is 30,find the refractive index of medium 2 with respect to medium 1.If second medium is water will the angle of refraction increase or decrease?why?(refractive index of water is 4/3,sin 30 = 1/2,sin 45=1/root2)...please reply quickly..

Answer 1

Angle of refraction does not change

Explanation:

Sin i = sin 45 = 1/root of 2

sin r = sin 30 = 1/2

According to Snell's law, Refractive index of medium1 * sin i = Rrefractive index of medium2 * sin r

sin i / sin r = RI2 / RI1

Substituting the values, we get (1 / root of 2) / (1/2) = RI2 / RI1

 2 / root of 2 = RI2 / RI1 = root of 2

Taking water as second medium 2,

RI1 = RI(water) / root of 2 = 4/3 * root of 2

RI1 * sin 45 = RI (water) * sin r

(4/3 * root of 2) * (1 / root of 2) = 4/3 * sin r

We get sin r = 1 / 2 which implies r is 30 degrees.

It is hence proved that angle of refraction does not change.

Answer 2

Answer:

angle of refraction does not change