Two loudspeakers in a 20C room emit 690 Hz sound waves along the x-axis. PART A

Question

Two loudspeakers in a 20C room emit 690 Hz sound waves along the x-axis.

PART A

If the speakers are in phase, what is the smallest distance between the speakers for which the interference of the sound waves is perfectly destructive?

Express your answer to two significant figures and include the appropriate units.

PART B

If the speakers are out of phase, what is the smallest distance between the speakers for which the interference of the sound waves is maximum constructive?

Express your answer to two significant figures and include the appropriate units

Explanation / Answer

Here,

speed of sound at 20 degree C

v = 343 m/s

frequency , f = 690 Hz

let the wavelength is L

L = v/f

L = 343/690 m

L = 0.497 m

a) for the destructive interference

smallest distance between the speakers = L/2

smallest distance between the speakers = 0.497/2 m

smallest distance between the speakers = 0.249 m

b)

for the sound waves is constructive

smallest distance between the speakers = L

smallest distance between the speakers = 0.497 m

smallest distance between the speakers = 0.497 m

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