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NEET 2010 (AIPMT, Prelims) · Progressive Wave Equation

Progressive Wave Equation question from NEET 2010 (AIPMT, Prelims)

Q91NEET 2010 · AIPMT · PRELIMSMedium

Progressive Wave Equation

A transverse wave is represented by

y = Asin( $\omega$ t $-$ kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

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Answer: (c)

Wave velocity $v = \frac{\omega}{k} = \frac{\omega\lambda}{2\pi}$ ; maximum particle velocity $= A\omega$
$\frac{\omega\lambda}{2\pi} = A\omega \Rightarrow \lambda = 2\pi A$
So the answer is (c) $2\pi A$ .

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