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Figure shows two coherent sources S(1) ...

Figure shows two coherent sources `S_(1)` and `S_(2)` which emit sound of wavelength `lambda` in phase. The separation between the sources is `lambda.` A circular wire of large radius is placed in such a way that `S_(1)S_(2)` lies in its plane and the middle point of `S_(1)S_(2)` is at the centre of the wire. Find the angular positions `theta,` on the wire for which constructive interference takes place.

Text Solution

Verified by Experts

The correct Answer is:
(i). `0^(@),60^(@),90^(@),120^(@),180^(@),240^(@),270^(@),300^(@),8`
(ii). `costheta=+-(1)/(8),+-(3)/(8),+-(5)/(8),+-(7)/(8)`

The position of maxima where the path difference between two ways is integral multiple of `lamda`. And position of minima where the path difference between two ways is odd multiple of `lamda//2`
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