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A long narrow horizontal slit lies 1mmab...

A long narrow horizontal slit lies `1mm`above a plane mirror.The interference pattern produced by the slit and its image is viewed on a screen distant `1m`from the slit .The wavelength of light is`600nm`.Find the distance of first maximum above the mirror.

Text Solution

Verified by Experts

The correct Answer is:
`0.15mm`
Path difference=`lambda`
`(xd)/(D)+(lambda)/(2)=lambda`
(additional path difference of `lambda//2`is due to reflection from denser medium)
`(xd)/(D)=(lambda)/(2) rArr x=(lambdaD)/(2d)`
`x=(600xx10^(9))/(2xx2xx10^(-3)) rArr x=150xx10^(-6)m`
`x=0.15xx10^(-3)m rArr x=0.15mm`
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