Two radio frequency point sources separated by 2.0m are radiating in phase with wavelength 0.5m.A detector moves in a circular path around the two sources in a plane containing them.find how many maxima it detects?

Here, ∆*x* = *d* cos*θ* = *n*λ (for maxima).

Given that *d* = 2 m

λ = 0.5

Plug in these values in above equation

2 cos*θ* = 0.5 *n*

4 cos*θ* = *n*

If *n* = 1, 4 cosθ = 1

If *n* = 2,

If *n* = 3,

If *n* = 4,

For first quadrant number of maxima =4

Total number of maxima on circle detected by detector = 16

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