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Question

A sound wave of frequency 500 Hz covers the distance of 1000 m in 5 s between points x and y. The number of wavelengths between x and y are

A
1500
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B
1000
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C
2500
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D
5000
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Solution

The correct option is C 2500

Time taken by wave to cover distance xy is Δt=5 s
So, velocity of wave,
v=ΔxΔt=10005=200 m/s
Now, wavelength of wave,
λ=vf=200500=0.4 m
Let the number of wavelengths between x and y is n.
So, nλ=Δx
n=Δxλ=10000.4
n=2500

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