Question

A sound wave travelled at a speed of 342 m/s if the wavelength is 1.5 cm what is the frequency will it be audible

Answer 1

Given,

v = 342 m s^(-1)

λ = 1.5 cm

λ = 1.5 × 10^(-2) m

We have, frequency,

ν = v / λ

Then,

ν = 342 / (1.5 × 10^(-2))

ν = 22800 Hz

ν = 22.8 kHz

This frequency is not audible to human since it is greater than 20 kHz. The frequency range of human audible sound is 20 Hz to 20 kHz.

Answer 2

Wavelength and frequency of a wave are related by the equation  velocity = wavelength x frequency.

Explanation:

Wave velocity = 342 m/s

Wavelength = 1.5 cm = 1.5/100 = 0.015 m

f = wave velocity x wavelength

= 342 x 0.015

= 5.13 Hz

audible range of sound ranges from 20 Hz to 20,000 Hz.

this frequency is not audible.