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Q.

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength l. In another experiment with the same set up the two slits are of equal amplitude A and wavelength l but are incoherent. The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is

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a

1 : 2

b

2 : 1

c

4 : 1

d

1 : 1

answer is B.

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Detailed Solution

Resultant intensity I=I1+I2+2I1I2cosφ At central position with coherent source φ=00 and  I1=I2=I0  Icoh=4I0 ... (i) In case of incoherent at a given point, φ varies randomly with time so cosφavg=0IIncoh=I1+I2=2I0 ... (ii)Hence  IcohIIncoh=21.
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