Wave OpticsHard

Question

An interference is observed due to two coherent sources ′A′ & ′B′ having zero plase difference separated by a distance 4λ along the y-axis where λ is the wavelength of the source. A detector D is moved on the positive x-axis. The number of points on the x-axis excluding the points x = 0 & x = ∞ at which maximum will be observed is.
      

Options

A.three
B.four
C.two
D.infinite

Solution

     
ᐃx = - x = nλ
= (x + nλ)
x2 + 16λ2 = x2 + n2λ2 = 2nxλ

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