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In YDSE, D = 1.2m and d= 0.25cm, the sli...

In YDSE, D = 1.2m and d= 0.25cm, the slits are illuminated with coherent 600nm light. Calculate the distance y above the central maximum for which the average intensity on the screen is 75% of the maximum.

Text Solution

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`I=I_(max) "cos"^2 phi/2`
`3/4 I_(max) = I_(max) "cos"^2 phi/2 or "cos" phi/2 = sqrt3/2`
`:. phi/2 = pi/6`
`:. phi = pi/3 =((2pi)/lambda)(Deltax) = (2pi)/lambda ((yd)/D)`
` :. y=(lambdaD)/(6d) = ((600 xx 10^-19)(1.2))/((6)(0.25 xx 10^-2))`
` = 48 xx 10^-6m = 48 mu m`.
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