Q32 of 118 Page 352

Three sources of sound S1, S2 and S3 of equal intensity are placed in a straight line with S1S2 = S2S3 (figure 16-E5). At a point P, far away from the sources, the wave coming from S2 is 120o ahead in phase of that from S1. Also, the wave coming from S3 is 120o ahead of that from S2. What would be the resultant intensity of sound at P?


Given:
All the three sources of sound, namely,
S1, S2 and S3 emit equal intensity of sound waves.
Therefore, all three sources have equal amplitudes.
A1 = A2 = A3
Now, by vector method, the resultant of the amplitudes is 0.
So, the resultant intensity at P is zero.


Capture.PNG(a)


Capture.PNG(b)


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30

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Capture.PNG


31

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33

Two coherent narrow slits emitting sound of wavelength λ in the same phase are placed parallel to each other at a small separation of 2λ. The sound is detected by moving a detector on the screen ∑ at a distance D(>>λ) from the slit S1 as shown in figure (16-E6). Find the distance x such that the intensity at P is equal to the intensity at O.


34

Figure (16-E7) shows two coherent sources S1 and S2 which emit sound of wavelength λ in phase. The separation between the sources is 3λ. A circular wire of large radius is placed in such a way that S1S2 lies in its plane and the middle point of S1S2 is at the centre of the wire. Find the angular positions θ on the wire for which constructive takes place.