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Waves

Question

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A transverse wave is represented by the equation $y = y_{o} \sin \frac{2 π}{λ} (vt - k)$ . For what value of $λ$ is the particle velocity equal to two times the wave velocity

$λ = π y_{o}$

$λ = \frac{π y_{o}}{2}$

$λ = \frac{π y_{o}}{3}$

$λ = 2 π i y_{o}$

Solution

A.

$λ = π y_{o}$

A transeverse wave is described by equation

y = $y_{o} \sin 2 \frac{π}{λ} (vt - k)$

Comparing the given equation of the standard equation of wave

w y_o = 2 v

2πn y_o = 2ny

λ = π y_o

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