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Question

Physics Question on Youngs double slit experiment

On introducing a thin film in the path of one of the two interfering beams, the central fringe will shift by one fringe width. If μ=1.5,\mu =1.5, the thickness of the film is (wavelength of monochromatic light is λ\lambda )

A

4λ4\,\lambda

B

3λ3\,\lambda

C

2λ2\,\lambda

D

λ\lambda

Answer

2λ2\,\lambda

Explanation

Solution

β=βλ(μ1)t\beta=\frac{\beta}{\lambda}(\mu-1) t t=λ(μ1)=λ(1.51)\Rightarrow t=\frac{\lambda}{(\mu-1)}=\frac{\lambda}{(1.5-1)} =2λ=2 \lambda