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Question

The equation of a transverse wave on a stretched string is given by y=0.05sin2π(t0.002x0.1), where x and y are expressed in metre and t in second. The speed of the wave is

A
100 ms1
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B
50 ms1
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C
200 ms1
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D
400 ms1
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Solution

The correct option is B 50 ms1
Given, the displacement equation
y=0.05sin2π(t0.002x0.1)
Comparing it with equation of progressive wave,
y=Asin2π(tTxλ)
We get
T=0.002 s ; λ=0.1 m
Hence Speed of the wave,
v=λT=0.10.002
v=50 ms1

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