Learn Intext Exercise 12.4 with Free Lessons & Tips

Wavelength: The distance between two consecutive compressions or rarefractions is known as wavelength. It's SI unit is meter (m) 

Frequency: The number of complete oscillations per second is known as the frequency of sound wave. It is measured in Hertz (Hz) 

Amplitude: The maximum height reached by the crust or the trough of a sound wave is called it's amplitude. 

Speed, wavelength, and frequency of a sound wave are related by the following equation:

Speed () = Wavelength () × Frequency ()

Frequency of the sound wave, = 220 Hz

Speed of the sound wave, v = 440 m s⁻¹

For a sound wave,

Speed = Wavelength × Frequency

Hence, the wavelength of the sound wave is 2 m.

The time interval between two successive compressions is equal to the time period of the wave. This time period is reciprocal of the frequency of the wave and is given by the relation:

Wavelength=the distance between two crests and troughs of a wave.
frequency=the no. of sound waves produced in 1 second.
Time period=time period is taken to produce one wave of sound.
Amplitude =maximum displacement along with the mean position of particles of the medium.

Wavelength and frequency have a direct relationship.
The shorter the wavelength, the higher the frequency.
The speed of a sound wave is related to the density, elasticity and temperature of the medium it's travelling through.
velocity = frequency * wavelength
v=νλ

Formula -
Velocity = Wavelength × Frequency

Using the above mentioned formula,
__________
v = λ × n
__________
where λ denotes Wavelength and n denotes frequency

Given,
v = 440 m/sec
n = 220 Hz
λ = ???

v = λ × n

440 = λ × 220

=> λ = 440 / 220

=> λ = 2

WAVELENGTH (λ) = 2 m

ANSWER = 2 m