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One slit of a double slits experiment is covered by a thin glass plate of refractive index`1.4`and the other by a thin glass plate of refractive index`1.7` .The point on the screen ,where central bright fringe was formed before the introduction of the glass sheets,is now occupied by the `15th`bright fringe.Assuming that both the glass plates have same thickness and wavelength of light used in `4800Å` ,find the their thickness.

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Correct Answer - `8mum`
Path difference=`nlambda rArr (mu_(1)-1)t-(mu_(2)-1)t=nlambda`
`(mu_(1)-mu_(2))t=n lambda rArr t=(5xx4800xx10^(-10))/((1.7-1.4)`
`t=5xx16000xx10^(-10) rArr t=8xx10^(-6)m`
`t=8mum`

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