Wave OpticsHard

Question

Two monochromatic (wavelength  = a/5)and coherent source 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 maximum detected during one circular revolution by the detector are-

Options

A.60
B.15
C.64
D.None

Solution

λ =
For point P, ᐃx = 3a = 15λ and at point Q it is also 15λ somewhere at point B, it is zero thus in half part of the circle available maxima
       15 × 2 = 30
Thus total maxima = 2 × 30 = 60

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