Q104 / 160 · JIPMER 2013 · Physics

A transverse wave is represented by the equation $y=y_0 \sin \frac{2 \pi}{\lambda}(v t-k)$ For what value of $\lambda$ is the particle velocity equal to two times the wave velocity

  • Correct answer
    A
    $\lambda=\pi y_0$
  • B
    $\lambda=\frac{\pi y_0}{2}$
  • C
    $\lambda=\frac{\pi y_0}{3}$
  • D
    $\lambda=2 \pi i y_0$

Solution

Comparing the given equation of the standard equation of wave $\begin{aligned} w y_0 & =2 v \\ 2 \pi n y_0 & =2 n \lambda, \\ \lambda & =\pi y_0\end{aligned}$

Hence, the correct answer is option: 'A'.

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