The equation of a progressive wave is y - 0-02 sin 2 - - t-0-01 - x-0-30 - here x and y are in metres and t is in seconds- The velocity of propagation of the wave is

Ω = 2 π/0.01 and k = 2 π/0.30 v = ω/k = 2 π/0.01×0.30/2 π = 30 m/s ...

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Standard XII

Physics

Time Period Independent of Amplitude

The equation ...

Question

The equation of a progressive wave is $y = 0.02 s i n 2 π [\frac{t}{0.01} - \frac{x}{0.30}]$ here x and y are in metres and t is in seconds. The velocity of propagation of the wave is

300 m/s

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30 m/s

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400 m/s

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40 m/s

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Solution

The correct option is B
30 m/s

$ω = \frac{2 π}{0.01} a n d k = \frac{2 π}{0.30} v = \frac{ω}{k} = \frac{2 π}{0.01} \times \frac{0.30}{2 π} = 30 m / s$

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The equation of a progressive wave is y=0.02sin 2π[t0.01−x0.30] here x and y are in metres and t is in seconds. The velocity of propagation of the wave is

The correct option is B 30 m/s ω=2π0.01and k=2π0.30v=ωk=2π0.01×0.302π=30m/s

The equation of a progressive wave is $y = 0.02 s i n 2 π [\frac{t}{0.01} - \frac{x}{0.30}]$ here x and y are in metres and t is in seconds. The velocity of propagation of the wave is

The correct option is B
30 m/s

$ω = \frac{2 π}{0.01} a n d k = \frac{2 π}{0.30} v = \frac{ω}{k} = \frac{2 π}{0.01} \times \frac{0.30}{2 π} = 30 m / s$