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Question

Two monochromatic (wavelength = a5) and coherent sources of electromagnetic waves are placed on the x- axis at the points (2a, 0) and (–a, 0). A detector moves in a circle of radius R(>>2a) whose centre is at the origin. The number of maxima detected during one circular revolution by the detector are


A
60
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B
15
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C
64
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D
None
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Solution

The correct option is A 60
3a cosθ=nλ; 3a cos θ=na5;n=15 cos θ
So, in one quadrant, there are 16 maxima and in total it is 64-4=60. Since 4 coincide at edges of quadrant.


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