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Hi there.
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So for this problem, we are told that two point sources of sound waves of identical wavelength lambda, and amplitude are separated at a distance d, and that distance d is equal to two times the wavelength.
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Now, the sources are in phase.
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So for part a of this problem, we are asked to determine how many points of maximum signal that is maximum constructive interference, lie alone a large circle around the sources.
00:40
To solve this problem, we need first to calculate the phase difference at the point p, as is shown in this figure.
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So, we will have that that phase difference is equal to 2 times pi times delta x, and this divided to, by lambda.
01:07
Now, we know that in this case, this is going to be 2 times pi delta x is going to be d sine of theta, and this divided by the wavelength.
01:25
Now, we substitute this condition given in here, and then we will obtain that the difference, the face difference, it becomes four times pi times.
01:38
The sign of theta...