Sound of frequency 600 Hz is emitted by a point source. The sound can travel along two different paths to reach an observer. What is the minimum non-zero path length difference that results in constructive interference? Assume the speed of sound in air is 340 m/s.
A)28.3 cm
B)1.13 m
C)1.76 m
D)88.2 cm
E)56.7 cm

Question

Quizplus · Accepted Answer

Constructive interference occurs when the path length difference is a multiple of the wavelength. The wavelength (λ) is calculated by dividing the speed of sound (340 m/s) by the frequency (600 Hz), which gives approximately 0.567 m. The minimum non-zero path length difference for constructive interference is one wavelength, which is 56.7 cm.

Sound of Frequency 600 Hz Is Emitted by a Point