Question

if the time period of sound wave is 1 ms [thousand of a second], then find
(i) Frequency
(ii) Wavelength
(iii) Speed of sound

Answer 1

Step-by-step explanation:

ANSWER

The speed of the sound, distance travelled and the time taken relationship is given as follows.

Speedofsound,v=Distancetravelled×Timetaken ----eqn 1

With the given values of wavelength = 50 cm = 0.5 m and frequency =1000 Hz, the speed of the wave is calculated as follows.

Speedofsound,v=Frequency(ν)×Wavelength(λ) -- eqn 2

That is, v=ν×λ=1000Hz×0.5m=500m/s

Substituting the value of the speed of sound in eqn 1 gives the time taken for the sound wave to travel a distance of 500 m.

That is, Timetaken=

Distancetravelled

Speedofsound

=

500m

500m/s

=1second.

Hence, the time taken for the sound wave to travel is 1 second.