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  4. The ratio of maximum particle velocity to wave velocity is [where symbols have their usual meanings]

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Q. The ratio of maximum particle velocity to wave velocity is [where symbols have their usual meanings]

Waves

Solution:

Maximum particle velocity $\left(v_{y}\right)=A \omega$
Wave velocity $( v )=\frac{\omega}{k}$
$\therefore \frac{v_{y}}{v}=A_{k}$