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Question

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 90. 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


A
0 : 1 : 4
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B
4 : 1 : 0
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C
0 : 1 : 2
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D
2 : 1 : 0
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Solution

The correct option is A 2 : 1 : 0

Since P is ahead of Q by 90 and path difference between P and Q is λ4. Therefore at A, phase difference is zero, so intensity is 4I. At C it is zero and at B, the phase difference is 90, intensity is 2I.


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