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A double slit experiment is performed wi...

A double slit experiment is performed with light of wavelength `500nm`. A thin film of thickness `2mum` and refractive index `1.5` is introduced in the path of the upper beam. The location of the central maximum will

A

Remain unshifted

B

Shift downward by nearly two fringes

C

Shift upward by nearly two fringes

D

Shift downward by 10 fringes.

Text Solution

Verified by Experts

The correct Answer is:
C
`((mu-1)t)/(lamda)=n,lamda=500nm=500xx10^(-9)m`
`t=2mum=2xx10^(-6)m`
`n=((1.5-1)xx2xx10^(-6))/(500xx10^(-9))=(1000)/(500)=2`
Since thin film is introduced in the upper beam, shift of fringes will be equal.
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