First slide

Stationary waves

Question

A standing wave is represented by
$Y = A \sin (100 t) \cos (0 .01 x)$
where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of wave is

Moderate

A

$10^{4} m / s$
B

$1 m / s$
C

$10^{- 4} m / s$
D

Not derivable from above data

Solution

By comparing given equation with $y = asin (ωt) coskx$
$\Rightarrow v = \frac{ω}{k} = \frac{100}{0 .01} = 10^{4} m / s$

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