First slide

Travelling wave

Question

A travelling wave in a stretched string is described by the equation $y = Asin (kx - ωt)$ . The maximum particle velocity is

Moderate

A

$Aω$
B

$ω / k$
C

$dω / dk$
D

$x / t$

Solution

Given $y = Asin (kx - ωt)$
$\Rightarrow v = \frac{dy}{dt} = - Aωcos (kx - ω t) : \Rightarrow v_{\max} = Aω$

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