NEET Solved Paper 2017 Question 35

Question: Young?s double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly

Options:

A) 1.78

B) 1.25

C) 1.59

D) 1.69

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ X _1={X _{5th,dark}}=(2\times 5-1)\frac{\lambda D}{2d} $ $ X _2={X _{8th,dark}}=8\frac{\lambda D}{\mu d} $ $ X _1=X _2 $ $ \frac{9}{2}\frac{\lambda /D/}{d/}=8\frac{,\lambda /D/}{\mu d/} $ $ \mu =\frac{16}{9}=1.78 $