Physics

Problem

Two microphones

A

and

B

are placed along the straight line in which a plane sound wave of frequency

1.2\,\text{kHz}

propagates. The speed of sound in air is

330\,\text{m\,s}^{-1}

. It is observed that microphone

B

records its first maximum

0.25\,\text{ms}

after microphone

A

records its first maximum. a. (i) Calculate the phase difference between the disturbances arriving at

B

and

A

at the instant when

A

records its first maximum. b. (ii) Determine the distance between the two microphones. c. (iii) Find the least additional distance by which microphone

B

must be moved farther away from

A

so that the two microphones once again record maxima simultaneously.

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