Question

rectangular glass slab is kept at the the bottom of through containing water a light ray is incident on water surface at an angle of 45 degree and it passes through water into glass if the refractive index of water is 4/3 and that for the glass is 3/2 find the angle of refraction in glass​

Answer 1

Answer:

Refractive index of a rectangular glass slab is m=3 . A light ray incident at an angle 60∘is displaced laterally through 2.5cm. Distance traveled by light in the slab is :

A

4 cm

B

5 cm

C

 2.53 cm

D

3 cm

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ANSWER

Given μ=3

θa=600

Lateral shift d=tcosθb′sin(θa−θb′) ...................(1)

Let the length traveled in glass be l.

From geometry, t=lcosθb′ ..........................(2)

Substituting t  from (2) in (1) 

d=lsin(θa−θb′) .............................................(3)

From Snell's law, sinθb′sinθa=μ

⇒sin600=3sinθb′

⇒sinθb′=21

⇒θ