Figure shows two coherent sources S1 and S2 which emit sound of wavelength λ in phase. The separation between the source is 3λ. A circular wire of large radius is placed in such a way that S1S2 lies in its plane and the midpoint of S1S2 is at the centre of the wire. Find the number of angular positions θ(θ<90∘) on the wire for which constructive interference takes place.

Figure shows two coherent sources S1 and S2 which emit sound of wavele

1.	Figure shows two coherent sources S1 and S2 which emit sound of wavelength λ in phase. The separation between the source is 3λ. A circular wire of large radius is placed in such a way that S1S2 lies in its plane and the midpoint of S1S2 is at the centre of the wire. Find the number of angular positions θ(θ<90∘) on the wire for which constructive interference takes place.
Answer» Figure shows two coherent sources $S_{1}$ and $S_{2}$ which emit sound of wavelength $λ$ in phase. The separation between the source is $3 λ$ . A circular wire of large radius is placed in such a way that $S_{1} S_{2}$ lies in its plane and the midpoint of $S_{1} S_{2}$ is at the centre of the wire. Find the number of angular positions $θ (θ < 90^{\circ})$ on the wire for which constructive interference takes place.

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