Question

give a formula to find refractive index of a slab in terms of angle of incidence and angle of refraction

Answer 1

Refractive index

The amount of refraction depends on:

the angle the light hits the boundary between the substancesthe difference in relative densities, between the two media (which determines how much the speed of light changes)

The degree to which a material slows the speed of light (compared to its speed in a vacuum) is its refractive index. This can be calculated using the equation:

refractive index = sin i/sin r

Where:

i is the angle of incidence

r is the angle of refraction

Worked example

A beam of light hits a glass block. The angle of incidence angle of incidence is 55°. The angle of refraction inside the block is 33°. Calculate the refractive index.

Step 1: Work out the sine of angle i

sin 55 = 0.819

Step 2: Work out the sine of angle r

sin 33 = 0.545

Step 3: Divide sin i by sin r

refractive index = sin i ÷ sin r

refractive index = 0.819 ÷ 0.545 = 1.50

A refractive index of 1.5 will slow down light and bend it toward the normal inside the glass block.

Answer 2

Answer:

sin<i = constant

sin<r

______________

hope it helps!!