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Two sound sources radiating in phase at a frequency of 492 Hz interfere such tha

ID: 1594106 • Letter: T

Question

Two sound sources radiating in phase at a frequency of 492 Hz interfere such that maxima are heard at angles of 0° and 20.5° from a line perpendicular to that joining the two sources. The listener is at a large distance from the line through both sources, and no additional maxima are heard at angles in the range 0° < < 20.5°. Find the separation d between the two sources, and any other angles at which intensity maxima will be heard. Use the following result.

d = s/sin = / sin = v / f sin

d = ? m

= ? °

Explanation / Answer

We know

lambda = v/f = 0.69105691 m (Taking v=340m/s)
A.) m = 1
d = m*lambda/sin = 1.9733 m
B.) m = 2
= arcsin(m*lambda/d) = 44.459 deg

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