calculate the time taken to hear an echo of a sound wave of frequency 150000 hz having wavelength 2000 if striked at a surface at a distance of 300m .
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Answer:
15s
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, Time taken=
Distance travelled
Speed of sound
=
500m
500m/s
=15 second.
Hence, the time taken for the sound wave to travel is 15 second
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