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Q.

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 900.  A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

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a

0 : 1 : 4

b

4 : 1 : 0

c

0 : 1 : 2

d

2 : 1 : 0

answer is D.

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Detailed Solution

Since P is ahead of Q by 900 and path difference between P and  Q is λ/4.  Therefore at A, phase difference is zero, so intensity is 4I. At C it is  zero and at B, the phase difference is 900, so intensity is 2I.
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