4. Two coherent sources of sound, A and B, emit continuous harmonic sound waves of the same frequency f and wavelength lambda.

When each source is operating by itself, with the others turned off, it produces an acoustic intensity at point P equal to 1.00 W/m^2.

The paths from the sources to P are not equal. You are given that r_A = 1.33 lambda, r_B = 2.750 lambda.

6. a) Assuming that the two sources are vibrating in phase, calculate the intensity produced at P when both sources are operating simultaneously. Draw the associated phasor diagram.

b) By what angle must the intrinsic phase of source B be changed so that the intensity at P disappears? Draw the phasor diagram for the new situation.

c) What is the maximum intensity that could be produced at P by adjusting the intrinsic phases of the sources, keeping the paths the same?

The principle of superposition of waves states that the resultant displacement at a point is equal to the sum of the displacements of different waves at that point. If a crest of a wave meets a crest of another wave at the same point then the crests interfere constructively and the resultant wave amplitude is greater. If a crest of a wave ...

Solution Summary

Calculations and answers for (6) are included in the original exam that has been completed and reattached. Explanation for (4) is 225 words.

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... b) What frequency is heard by the bat from the reflected sound? ... b) The third harmonic? The nth harmonics is simply the fundamental harmonics multiplied by n ...

... a particular tube there are six harmonic frequencies below ... if we decreased the velocity of sound in air ... fundamental of frequency f and harmonics of frequencies ...

... What is the power being emitted by the sound source? ... The sixth harmonic occurs at: Thus, number of possible harmonics is 5 (fundamental and 4 harmonics). ...

... Third harmonic = υ3 = 3υ1 = 3x566.67 = 1000 Hz. The expert examines a tuning fork for harmonics and tranverse waves on a string. 1. A tuning fork is sounded...

... ie, non-absorbing) medium in which the sound speed is ... The waves from the two sources are traveling in very ... a) The phases of the simple harmonic vibrations of ...

... her are crests, what is the speed of the wave? ... is the time interval between the successive sound pulses she ... The position of a particle in harmonic motion can ...

... 1. Every point on the wave executes an up down simple harmonic motion about the mean position. ... For example sound waves need a medium such as air, water etc. ...

... If the third harmonic is 600 Hz, fundamental frequency = 600 ... A mass-spring system, pendulum, oscillator frequency, sound pulses and harmonics is examined ...

... it be before the ground observer encounters the shock wave? ... and the person hears the sound 181secs after ... bentricluar wall moves in simple harmonic motion with ...