The equation of a transverse wave on a stretched string is given by y=0.05sin2π(t0.002−x0.1), where x and y are expressed in metre and t in second. The speed of the wave is
A
100ms−1
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B
50ms−1
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C
200ms−1
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D
400ms−1
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Solution
The correct option is B50ms−1 Given, the displacement equation y=0.05sin2π(t0.002−x0.1) Comparing it with equation of progressive wave, y=Asin2π(tT−xλ) We get T=0.002s;λ=0.1m Hence Speed of the wave, ⇒v=λT=0.10.002 ∴v=50ms−1