Speaker #1 is installed on a pole in an open space and is emitting,on a warm...

Speaker #1 is installed on a pole in an open space and is emitting,on a warm day of spring (T= 20◦C), a sound in all directions witha frequency f0= 85.75Hz. A microphone connected to an audio recorder is placed 3 m to the right of speaker #1 (at the same height asthe speakers with respect to the ground). See Fig. 1. The microphone records a sound of intensity I0. Assume that the amplitude ofthe sound waves is constant and does not decrease with the distance.

a) what is, at any instant, the distance between two successive wavefronts?

b) suppose that an identical speaker #2 is installed on a second pole, 6 m to the left of loudspeaker #1. See Fig. 1. When both speak-ers are turned on and their phase constants are set identical, the microphone records a sound of intensity I1. Is I1 higher or lower than I0? Justify your answer.(Suggestion: treat the problem as unidimensional. Remember that intensity of a wave is proportional to the square of the amplitude.)

c) how does the answer to the previous question change if the micro-phone is located 4.5mto the right of loudspeaker #1 (instead of 3 m)? Justify your answer.

I'm having trouble with parts b and c!

Expert Solution

A problem involving calculation of wavelength of sound of given frequency and its use to determine phase relation of sound waves coming from two sources leading to an idea about the resultant intensity.

genius_generous answered 2 years ago

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