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A thin sheet of glass (refractive index 1.5) of thickness 6 microns, introduced in the path of one of the interfering beams in a double-slit experiment shift the central fringe to a position earlier occupied by the fifth bright fringe. The wavelength of light used is

A

`3000Å`

B

`6000Å`

C

`4500Å`

D

`7000Å`

Text Solution

Verified by Experts

The correct Answer is:
B
`y_(0)=(mu-1)tD/d=5(Dlambda)/d`
`lambda=((mu-1)t)/5=((1.5-1)xx6xx10^(-6))/5`
`=6xx10^(-7)m=6000 Å`
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