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A converging set of rays, travelling fro...

A converging set of rays, travelling from water (with refractive index 4/3 to air) is incident on a plane interface, the rays would have converged to a point o, 40 cm above the interface. However, due to refraction the rays will bend. At what distance above the interface will the rays actually converge?

A

53.3 cm

B

25 cm

C

30 cm

D

10 cm

Text Solution

Verified by Experts

The correct Answer is:
C
A ray of light travels from water across the interface through air and converges to form an image at I. Here, medium 1 is water and medium 2 is air.

`d_(1) = + 40 cm, mu_(1) = (4)/(3), mu_(2) = 1`
As, `(mu_(2))/(mu_(1)) = ("Real depth "(d_(2)))/("Apparent depth "(d_(1)))`
So, `(mu_(1))/(d_(1)) = (mu_(2))/(d_(2))" or "d_(2) = (mu_(2))/(mu_(1)) d_(1)`, we get `d_(2) = + 30` cm
Thus, the image is formed 30 cm above the interface.
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