A sound source sends waves of 400 Hz. It produces waves of wavelength 2.5 m. The velocity of sound waves is

CONCEPT:

• Wavelength (λ) is equal to the distance travelled by the wave during the time in which any one particle of the medium completes one vibration about its mean position. It is the length of one wave.
• Frequency (f) of vibration of a particle is defined as the number of vibrations completed by the particle in one second. It is the number of complete wavelengths traversed by the wave in one second.
• The relation between velocity, frequency, and wavelength: u = f × λ

Where,

u = speed of sound in air.

f = frequency of sound

λ = wavelength of sound

Calculation:

Given that,

Frequency of sound, f = 400 Hz

Wavelength of sound, λ = 2.5 m

As explained above, the relation between velocity, frequency, and wavelength can be given as

Velocity = frequency × wavelength

Velocity = 2.5 × 400 m/s