Question

A body is vibrating 6000 times in one minute. If the velocity of sound in air is 360 m/s, find: 

(a) Frequency of vibration in hertz, 

(b) Wavelength of the wave produced. 

Answer 1

(a) Frequency of vibration in hertz 

Given, 

Number of vibration in one minute = 6000 

Number of vibrations in one sec = 6000/ 60 =100Hz 

Therefore, Frequency, f = 100 Hz 

(b) Wavelength of the wave produced 

Given, 

Velocity of speed in air, v = 360 ms^–1 

Frequency, f = 100 Hz 

Wavelength, λ = ? v = f λ ⇒ λ= 360 ms⁻¹/ 100s⁻¹ = 3.6m 

The wavelength of the wave is 3.6 m