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A rays of light is incident on a thick s...

A rays of light is incident on a thick slab of glass of thickness t as shown in figure. The emergent ray is parallel to the incident ray but displaced sideways by a distance d. If the angles are small then d is

A

`t(1+(i)/(r))`

B

`rt(1-(i)/(r))`

C

`it(1-(r)/(i))`

D

`t(1+(r)/(i))`

Text Solution

Verified by Experts

The correct Answer is:
C
Lateral shift, ` d = (t)/(cosr) sin (i-r)`
For small angles `sin(i-r) ~~ i - r`, `cosr~~1`
`d = t(i-r), d =` it `[1- (r)/(i)]`
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