Question

(Q)5. Identify the speaker:
a. 'This is the second man I ever saw, and to me
he seems a true one.​

Answer 1

Answer:

Two loudspeakers, A and B (Fig. E16.33), are driven by the same amplifier and emit

sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along

the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speakers

emit sound waves that travel directly from the speaker to point Q. (a) What is the lowest frequency

for which constructive interference occurs at point Q? (b) What is the lowest frequency for which

destructive interference occurs at point Q?

————–

(a) For constructive interference, the path difference must be an integer number of wavelengths.

The lowest frequency for this would be the longest wavelength, with the path difference equal

to one wavelength.

λ = 2 m ⇒ f = v/λ = (344 m/s)/2 m) = 172 Hz.

(b) For destructive interference, the path difference must be n + 1/2 wavelengths. The lowest

frequency for this would be the longest wavelength, with the path difference equal to one-half

wavelength.

λ = 4 m ⇒ f = v/λ = (344 m/s)/4 m) = 86 Hz

Explanation: