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The equation of a simple harmonic wave is given by
y = 3 sin π (50 t - x) 2
Where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
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- 2π
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3 π 2 - 3π
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2 π 3
Correct Option: B
| y = 3 sin | (50 t - x) | |
| 2 |
| y = 3sin |  | 25πt - | x |  | |
| 2 |
on comparing with the standard wave equation y = a sin (ωt – kx)
| Wave velocity , v = | = | = 50 m / sec | ||
| k | π / 2 |
| The velocity of particle vp = | = 75π cos | | 25πt - | x | | ||
| ∂t | 2 |
vpmax = 75π
| then | = | = | ||||
| v | 50 | 2 |
