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Monochromatic light of wavelength of 600...

Monochromatic light of wavelength of 600 nm is used in YDSE. One of the slits is covered by a transparent sheet of thickness `1.8 xx 10^(-5) m` made of a material of refractive index 1.6. How may fringe will shift due to the introduction of the sheet?

Text Solution

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As derived earlier, the total fringe shift `(beta)/(lambda)(mu-1)t`
As each fringe width `=beta`
The number of fringe that will shift `=("total fringe shift")/("fringe width")`
`=(beta)/(lambda)(mu-1) t/(beta)=((mu-1)t)/(lambda)`
`=((1.6-1)xx1.8xx10^(-5)m)/(600xx10^(-9)m)`
=18
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