Question

If 5 complete oscillations of a sound wave pass through a point in 0.5 s and the speed of sound was recorded to be 10 m/s, then find the wavelength of the sound.

Answer 1

Wavelength = 1 meters

Step-by-step explanation:

Given that,

Number of oscillations is 5

It passes through a point in 0.5 s

The speed of sound was recorded to be 10 m/s.

We need to find the wavelength of the sound.

Firstly, we will find frequency of this wave. Total no of oscillations per unit time is called frequency. So,

`f=(5)/(0.5)\\\\f=10\ Hz`

Now the speed of wave in terms of wavelength and frequency is given by :

`v=f\lambda`

Here,
`\lambda` = wavelength

`\lambda=(v)/(f)\\\\\lambda=(10\ m/s)/(10\ Hz)\\\\\lambda=1\ m`

So, the wavelength of the sound is 1 meters.