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Q.

In Young's double slit experiment, the two slits act as coherent sources of equal amplitude A and of wavelength λ in another   experiment with the same set up, the two slits are sources 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 of that in the second case is

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a

1:1

b

1:2

c

2:1

d

2 :2

answer is C.

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Detailed Solution

when the tow sources are coherent. then amplitude at mid-point = A+ A = 2A I1∝(2A)2  or  I1=k×4A2 When the two sources are incoherent, thenI2∝A2+A2  or  I2=k×2A2 I1I2=k×4A2k×2A2=2
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