Question

The wavelength of the vibrations produced on the surface of water is 2 cm . If the wave velocity is 16m/s. Calculate (1) no. Of waves produced in one second (2) time required to produce one wave

Answer 1

1)We know,

Velocity =Wavelength×Frequency

=>Frequency =16÷2=8 Hertz

2)We know,

Frequency =1÷Time period

=>8=1÷Time period

=>Time period=1÷8 seconds=0.125 seconds

Answer 2

Given,

Wavelength=2 cm=0.02 m

Velocity=16 m/s

Now,

Number of waves produced in 1 second means the frequency of the sound.

We know,

Velocity=Wavelength×Frequency

=>Frequency=Velocity÷Wavelength

=>Frequency=16÷0.02=800 Hertz

Again,

Time required to produce 1 wave means Time period.

We know,

Frequency=1÷Time period

=>Time period=1÷Frequency=1÷800

=0.00125 seconds