Question

The frequency of tuning fork is 500Hz and the
velocity of sound in air 340ms 1. How far does
sound travel when the fork executes
50 vibrations?​

Answer 1

Given:-

• Frequency of the tuning fork = 500 Hz

• Velocity of sound in air = 340m/s

• Number of vibrations = 50

To find :-

• Distance travelled by the sound

Solution:-

We know that distance travelled by the wave in one vibration is it's

wavelength (λ) .

Thus distance covered by the wave when it executes 50 vibrations :-

=> d = 50×λ

=> d = 50λ ----(1)

Now, we know that :-

λ = υ/ν ----(2)

Where :-

• λ is the wavelength.

• υ is the velocity of sound.

• ν is the frequency.

From, eq.1 and eq.2, we get :-

=> d = 50(υ/ν)

=> d = 50(340/500)

=> d = 50×0.68

=> d = 34 m

Thus, the sound travels a distance

of 34m .