A traveling wave in a stretched string is described by the equation, $y = A sin (k x + t)$ . The maximum particle velocity is

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k

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A k

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none of the above

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Solution

The correct option is A A
$v = \frac{d y}{d t} = A c o s (k x + t)$
Since the max value of $c o s$ is 1.
The maximum velocity is $A$ .

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