1) Two small loudspeakers are separated by a distance of d = 5.9 cm, as shown in

Question

1) Two small loudspeakers are separated by a distance of d = 5.9 cm, as shown in the figure below. The speakers are driven in phase with a sine wave signal of frequency 12 kHz. A small microphone is placed a distance L = 1.4 m away from the speakers on the axis running through the middle of the two speakers, and the microphone is then moved perpendicular to the axis. Where does the microphone record the first minimum and the first maximum of the interference pattern from the speakers? The speed of sound in air is 343 m/s. y1st min =

2)

Explanation / Answer

Since the distance D<<L, this can be modelled as a young's interference,

y1=L*lamda/D=lamda/2

y1=D/2=2.95cm

y2=L*lamda/D=lamda

y2=D=5.9cm

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