Two radio frequency point sources S1 and S2 , separated by distance 2.5 m are emitting in phase waves of wavelength 1 m. A detector moves in a large circular path around the two sources in a plane containing them. The number of maxima that will be detected by it over the complete circular path, are
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a
16
b
12
c
10
d
8
answer is C.
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Detailed Solution
At point A, the path difference is 2.5λ and at B, path difference is zero. While moving from A to B , path difference changes from 2.5 to zero, making two maxima corresponding to 2 λ and λ (excluding). B is common for both upper quarter circles hence there are five maxima in one half circle, making 10 in total circular movement.