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

16

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12

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10

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8

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Solution

The correct option is C $10$
At point $B$ , the path difference is $2.5 λ$ and at point $B$ , path difference is zero.

While moving from $A$ to $B$ , path difference change from $2.5 λ$ to zero, making two maxima excluded $B$ .

$B$ is common for both upper quarter circles so there are five maxima in one half circle, making $10$ maxima over the complete circular path.

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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