Question

Solve the numerical problem
If frequency is equal to 1000 Hz then find the time period?
Please solve step by step.
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Answer 1

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.

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Answer 2

Frequency = 1000 Hz

Time Period = Frequency / 1

= 1000 Hz / 1

= 1/1000

= 0.001

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