Question

ii)
A tuning fork of frequency 170 Hz
produces sound waves of wavelength 2
m. Calculate speed of sound.
[Ans: 340 m/s]​

Answer 1

Given :

• Frequency = 170 Hz
• Wavelength (λ) = 2 m

To Find :

The speed of the sound.

Solution :

Analysis :

Here we have to use the formula to find the velocity or speed of the sound. Using the required formula and substituting the values we can get the wave velocity.

Required Formula :

V = fλ

where,

• V = Wave velocity
• f = Frequency
• λ = Wavelength

Units :

• f = Hertz(Hz)
• λ = metre(m)
• V = metre per second (m/s)

Explanation :

We know that if we are given the frequency and wavelength of a sound wave and is asked to find its wave velocity then our required formula is,

V = fλ

where,

• f = 170 Hz
• λ = 2 m

Using the required formula and substituting the required values,

⇒ V = fλ

⇒ V = 170 × 2

⇒ V = 340

∴ V = 340 m/s.

The wave velocity is 340 m/s.

Explore More :

• The number of vibrations made by the particle of the medium in one second is called the frequency(f).

• The distance travelled by a wave in one time period of vibration of the particle of the medium is called wavelength(λ).

• The distance travelled by the wave in one second is called the wave velocity(V).

• The time taken by the particle of medium to complete its one vibration, is called time period(T) of the wave.

• Time Period(T) and Frequency(f) of a wave is related as: f = 1/T