Q.

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                [2017]
 

1

1.59

 

2

1.69

 

3

1.78

 

4

1.25

 


Ans.

(3)

Position of 8th bright fringe in medium,

x=8λmDd

Position of 5th dark fringe in air,

x'=(5-12)λairDd=4.5λairDd

Given  x=x'8λmDd=4.5λairDd

      μm=λairλm=84.5=1.78