Question

When the light entering from glass to water, refractive of water with respect to glasss is 0.9. The angel of incidence at the surface seprating two media is 26o48'. Find the angek of refraction at the surface.

Page 47 Chapter - 2.Reflection and Refraction

Answer 1

Answer:

The angle of refraction at the surface is 30°

Explanation:

Given, Refractive Index of water w.r.t. the glass = 0.9

or n = 0.9

Angle of incidence i = 26°48'

We know that, if n is the refractive index of medium 2 w.r.t to the medium 1 and a ray of light is passing from medium 1 to medium 2 then

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

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

Putting the values

$0.9=\frac{\sin 26^\circ48'}{\sin r}$

$\implies 0.9=\frac{0.45}{\sin r}$

$\implies \sin r=\frac{0.45}{0.9}$

$\implies \sin r=\frac{1}{2}$

$\implies \sin r=\sin 30^\circ$

$\implies r=30^\circ$

Therefore, the angle of refraction at the surface is 30°