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Two coherent radio point sources that ar...

Two coherent radio point sources that are separated by 2.0 m are radiating in phase with a wavelength of 0.25m. If a detector moves in a large circle around their mid-point. At how many points will the detector show a maximum signal?

Text Solution

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The correct Answer is:
B, C
`lambda = 0.25m, d =2m =8lambda`

At A and C, `Deltax = d = 8lambda`, i.e. maximum intensity is obtained.
Between A and B seven maximas corresponding to
`Deltax = 7lambda , 6lambda,5lambda,4lambda,3lambda,2lambda` and `lambda` will be
obtained. Similarly, between B and C, C and D and D and A.
`:.` Total number of maximas
=` 4xx7+4`
= 32
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