Question
Calculate the time taken by the sound wave to travel 1.5 km when the frequency and wavelength are 2000 Hz and 0.35 m respectively.
Calculate the time taken by the sound wave to travel 1.5 km when the frequency and wavelength are 2000 Hz and 0.35 m respectively.
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Solution
Given,
Frequency, f = 2 kHz = 2000 Hz
Wavelength, λ = 35 cm = 0.35 m
We know that speed, v of the wave is given by,
v = wavelength× frequency
v = λ f
v = 0.35 m × 2000 Hz = 700 m/s
The time taken by the wave to travel a distance, d of 1.5 km = 1500 meter is given by,
Time = distance/velocity
t = 1500/700 = 2.14 s
Thus sound will take 2.14 s to travel a distance of 1.5 km or 1500 meters.
Given,
Frequency, f = 2 kHz = 2000 Hz
Wavelength, λ = 35 cm = 0.35 m
We know that speed, v of the wave is given by,
v = wavelength× frequency
v = λ f
v = 0.35 m × 2000 Hz = 700 m/s
The time taken by the wave to travel a distance, d of 1.5 km = 1500 meter is given by,
Time = distance/velocity
t = 1500/700 = 2.14 s
Thus sound will take 2.14 s to travel a distance of 1.5 km or 1500 meters.
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