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Question

Two stereo speakers S1 and S2 are separated by a distance of 2.40 m. A person (P) is at a distance of 3.20 m directly in front of one of the speakers as shown in the figure. The frequency in the audible range(20โ€“20000 Hz) for which the listener can hear minimum sound intensity is (Take speed of sound in air as 320 m/s)

A
100 Hz
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B
200 Hz
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C
700 Hz
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D
900 Hz
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Solution

The correct option is B 200 Hz

Δx=(n+12)λ
Δx2=S2PS1P=432=0.8m

0.8=(n+12)λ

λ=0.8n+12(i)

320=v=fλ

f=320λ

from(i)

f=3200.8/n+12

f=3200.8(n+12)

fmin=400(0+12) for n=0

f=200 Hz

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