A ray of light falls on the border of division of two media air-water at an angle of 45 and is littered

A ray of light falls on the border of division of two media air-water at an angle of 45 and is littered at an angle of 35 degrees. What is the rate of littering of the liquid?

Let’s analyze the condition of the assignment.

So, the beam falls on the border of the division of two media air – water at an angle of 45 °. And the beam is refracted at an angle of 35 °.

And we need to find the refractive index of the liquid.

Let’s apply the formula for the solution:

sin a / sin b = n.

Substitute values and perform calculations:

sin 45 ° / sin 30 ° = 0.707 / 0.5 = 1.41.

We should also take into account that the angle of incidence is equal to the angle of reflection b = 180 ° – a – 90 ° = 90 – aі.

sin a / sin (90 ° – a) = tg a = n = 1.41.

Find a:

a = arctan (1.41) = 55 °.