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The distance between two slits in a YDS...

The distance between two slits in a `YDSE`appartus is`3mm`.The distance of the scren from the slits is`1m`.Microwaves of wavelenght `1mm`are incident on the plane of the slits normally.Find the distance of the first maxima on the screen from the central maxima.

Text Solution

Verified by Experts

The correct Answer is:
35.35cm.app.
Path differnce =`lambda rArr d sintheta=lambda`
`sintheta=(lambda)/(d) rArr sintheta=(1)/(3)`
`tan theta=(1)/(2sqrt(2)) rArr (x_(1))/(D)=(1)/(2sqrt(2))`
`x_(1)=(1)/(2sqrt(2))m rArr x_(1)=50xx0.707cm`
`=35.35cm`
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