First slide

Condition for Interference

Question

Two radio frequency point sources $S_{1}$ and $S_{2}$ , 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

Moderate

A

16
B

12
C

10
D

8

Solution

At point A, the path difference is 2.5 $λ$ 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.

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