A sound wave travels at a speed of 339 m s^–1. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

Given:
– Speed of the sound wave = 339 m/s
– Wavelength = 1.5 cm (Converted to meters: 1.5 cm = 0.015 m

Using the formula Speed = Frequency x Wavelength, rearranged to solve for frequency:

Frequency = (Speed of wave)/(Wavelength)

Substituting the values:

Frequency = (339 m/s)/(0.015 m)
Frequency ≈ 22,600 Hz

Therefore, the frequency of the sound wave is approximately 22,600 Hz.

Regarding audibility, the human audible range typically spans from 20 Hz to 20,000 Hz. The calculated frequency of 22,600 Hz falls beyond this range. Most people would likely be unable to hear a sound with this frequency, though younger individuals may sometimes perceive slightly higher frequencies.