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Q.

In Young’s double slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength λ. In another experiment with the same set up the two slits are of equal amplitude A and wavelength λ 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+2I1I2cosφAt central position with coherent source (and I1=I2=I0Icon=4I0-----(ii)In case of incoherent at a given point, ϕ varies randomly with time so (cos f)av = 0IIn coh=I1+I2=2I0-----(ii)Hence IcohIIncoh=21
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