Question

The frequency of sound wave is 12KHz and the distance between two consecutive crests is 120cm. Find the speed of sound wave?​

Answer 1

Answer:

Explanation:

Given, (In air)

Velocity V=340m/s

Frequency f=20,000Hz

Wavelegth λ=?

V=f.λ

λ=  

F

V

​  

=  

20,000

340

​  

=0.017Hz

Also, Given (in Water)

Velocity, V=1480m/s

Frequencyf=20,000Hz

wavelength, λ=?

V=F.λ

λ=  

F

V

​  

=  

20,000

1480

​  

=0.074Hz

Answer 2

Given - Frequency of sound wave - 12kHz

Distance between two consecutive crests - 120cm

Find - Speed of sound wave

Solution - The distance between two consecutive crests or trough is known as wavelength. Thus, wavelength of sound wave will be 120 cm or 1.2 metre.

Frequency of sound wave - 12 kHz or 12000 Hz.

Frequency represented by f, wavelength represented by lambda and speed of sound wave represented by c are related as - C - f * lambda.

Now, keeping the values in formula -

C - 12000*1.2

C - 14400 m/s.

Thus, speed of sound wave is 14400 metre/second.