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 midpoint 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= I0Icoh=4I0 …..(i)In case of incoherent at a given point, ϕ varies randomly with time so (cosϕ)av=0∴IIncoh=I1+I2=2I0 ….(ii)Hence IcohIIncoh=21