Two coherent sources- emitting waves of wavelength - are placed at a separation of 3 - A detector is moving around them on a large circle- The number of minima detected by it in one complete rotation is

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Standard XI

Physics

Principle of Superposition

Two coherent ...

Question

Two coherent sources, emitting waves of wavelength $λ$ , are placed at a separation of $3 λ$ . A detector is moving around them on a large circle. The number of minima detected by it in one complete rotation is

2

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12

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Solution

The correct option is D $12$
Along the axis, path difference is $3 λ$ and along the bisector, path difference is zero.
In between there are path differences of $2 λ$ and $λ$ which all satisfy the condition of maxima.
In this way, there are $12$ maxima on whole circle and between every two maxima, there is a minima. So, the number of minima is also $12$ .

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Two coherent sources, emitting waves of wavelength λ, are placed at a separation of 3λ. A detector is moving around them on a large circle. The number of minima detected by it in one complete rotation is

Two coherent sources, emitting waves of wavelength $λ$ , are placed at a separation of $3 λ$ . A detector is moving around them on a large circle. The number of minima detected by it in one complete rotation is