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Q.

In a Young's double slit experiment, I0 is the intensity at the central maximum and β is the fringe width. The intensity at a point P distant x from the centre will be

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a

Iocos2πxβ

b

Iocosπxβ

c

4Iocos2πxβ

d

Io4cos2πxβ

answer is C.

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Detailed Solution

Path difference at point P=xdD

phase difference at point P=2πλxdD=2πxβ

I0=4I1,  intensity at point P

I=I1+I1+2I1cos2πxβ=2I11+cos2πxβ

=I0cos2πxβ

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