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Interference fringes are produced by a d...

Interference fringes are produced by a double slit arrangement
and a piece of plane parallel glass of refractive index 1.5 is interposed in one of
the interfering beam. If the fringes are displaced through 30 fringe widths for
light of wavelength `6xx 10^(-5) cm`, find the thickness of the plate.

Text Solution

Verified by Experts

The correct Answer is:
`36 xx 10^(-3)`
Path difference due to the glass slab,
`Delta x = (mu - 1) t`
Thirty fringes are displaced due to the slab. Hence,
`Delta x = 30 lambda`
`(mu - 1) t = 30 lambda`
`t = (30 lambda)/(mu - 1) = (30 xx 6 xx 10^(-5))/(1.5 - 1) = 3.6 xx 10^(-3) cm`
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