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In a YDSE two thin transparent sheet are...

In a YDSE two thin transparent sheet are used in front of the slits `S_(1)`&`S_(2)` having `mu_(1)=1.6`and `mu_(2)=1.4` respectively.If both sheets have thickness`t` ,the central maximum is observed at a distance of `5mm`from center`O`.Now the sheets are replaced by another two sheets each of refractive index `(mu_(1)-mu_(2))/(2)` but having thickness `t_(1)&t_(2)=(t_(1)-t_(2))/(2)`.Now central maximum is observed at distance of `8mm` from center`O` on the same side as before.Find the thickness `t_(1)` (in`mu`m) [Given:d=1mm,D=1m]

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