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Q.

In Young's double slit experiment, the two slits act as coherent source 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

At the central position for coherent source Icoherent=4I0. For incoherent sources Iincoherent=I1+I2=2I0
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In Young's double slit experiment, the two slits act as coherent source 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