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A ray of light travelling in a medium of...

A ray of light travelling in a medium of refractive index `mu` is incident at an angle `theta` on a composite transparent plate consisting of 50 plates of R.I. `1.0mu, 1.02mu, 1.03mu,"……",1.50mu`. The ray emerges from the composite plate into a medium of refractive index `1.6 mu` at angle `'x'`. Then

A

`sin x (1.01/1.5)^(50) sin theta`

B

`sinx = 5/8 sin theta`

C

`sinx = (8)/(5) sin theta`

D

`sinx = (1.5/1.01)^(50) sin theta`

Text Solution

Verified by Experts

The correct Answer is:
B


According to Snell's law, `musintheta= 1.6 mu sin x`
`:. sin x = 5/8 sin theta`
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