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Questions  

The ratio of the intensity at the centre of a bright fringe to the intensity at a point one-quarter of the distance between two fringe from the centre is 

a
2
b
1/2
c
4
d
16

detailed solution

Correct option is A

I=4I0cos2φ2At central position    I1=4I0   ……(i)Since the phase difference between two successive fringes is  two times the phase difference between two points separated by a distance equal to one quarter of the distance between the two, successive fringes is equal to δ=(2π) 14=π2 radian  ⇒I2=4I0cos2π22=2I0       ……(ii)Using (i) and (ii),  I1I2=4 I02 I0=2

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