Two radio frequency point sources separated by 2 0m are radiating in phase with wavelength 0 5m A detector moves - Physics - Wave Optics

Question

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?

Vijay Yadav · Accepted Answer

Here, âˆ†x = d cosÎ¸ = nÎ» (for maxima) Given that d = 2 m Î» = 0 5 Plug in these values in above equation 2 cosÎ¸ = 0 5 n 4 cosÎ¸ = n If n = 1, 4 cosÎ¸ = 1 $\cos θ = \frac{1}{4}$ $θ = \cos^{- 1} (\frac{1}{4}) = 75 52 °$ If n = 2, $\cos θ = \frac{1}{2}$ $θ = \cos^{- 1} (\frac{1}{2}) = 60 °$ If n = 3, $\cos θ = \frac{3}{4}$ $θ = \cos^{- 1} (\frac{3}{4}) = 41 41 °$ If n = 4, $\cos θ = \frac{4}{4} = 1$ $θ = 0 °$ For first quadrant number of maxima =4 Total number of maxima on circle detected by detector = 16

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?