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In YDSE, find the thickness of a glass s...

In YDSE, find the thickness of a glass slab `(mu=1.5)` which
should be placed in front of the upper slit `S_1` so that the central maximum now
lies at a point where 5th bright fringe was lying earlier (before inserting the
slab). Wavelength of light used is `5000 Å`.

A

`5 xx 10^(-6)m`

B

`3 xx 10^(-6)m`

C

`10 xx 10^(-6) m`

D

`5 xx 10^(-5) m`

Text Solution

Verified by Experts

The correct Answer is:
a
According to the question,
shift = 5 fringe widths
`implies ((mu - 1)t D)/(d) = (5 lambda D)/(d)`
`:.t = (5 lambda)/(mu - 1) = (25000)/(1.5 - 1) = 50,000 Å`
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