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A transverse wave is described by the equation
\( \mathrm{P} \) \( Y=Y_{0} \sin 2 \pi\left(f t-\frac{x}{\lambda}\right) \). The maximum particle velocity is

W four times the wave velocity if
[MP PET 2007; Kerala PET 2007; WB-JEE 2010, 12]
(a) \( \lambda=\frac{\pi Y_{0}}{4} \)
(b) \( \lambda=\frac{\pi Y_{0}}{2} \)
(c) \( \lambda=\pi Y_{0} \)
(d) \( \lambda=2 \pi Y_{0} \)
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