what is the sound wave in steel with a frequency of 500 hertz and a wavelength of 3.0 meters
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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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