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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Physics
Chapter
Dual Nature of Matter

JIPMER 2013 · Physics · Dual Nature of Matter

A transverse wave is represented by the equation y=y_0 (2 π)/(λ)(v...

A transverse wave is represented by the equation y=y0sin⁡2πλ(vt−k)y=y_0 \sin \frac{2 \pi}{\lambda}(v t-k) For what value of λ\lambda is the particle velocity equal to two times the wave velocity

Options

  1. Aλ=πy0\lambda=\pi y_0
  2. Bλ=πy02\lambda=\frac{\pi y_0}{2}
  3. Cλ=πy03\lambda=\frac{\pi y_0}{3}
  4. Dλ=2πiy0\lambda=2 \pi i y_0

Correct answer

A. λ=πy0\lambda=\pi y_0

Step-by-step solution

Comparing the given equation of the standard equation of wave wy0=2v2πny0=2nλ,λ=πy0\begin{aligned} w y_0 & =2 v \\ 2 \pi n y_0 & =2 n \lambda, \\ \lambda & =\pi y_0\end{aligned}
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