Q186 / 225 · JEE Main 2003 · Physics

The displacement $y$ of a wave travelling in the $x$-direction is given by $y=10^{-4} \sin \left(600 t-2 x+\frac{\pi}{3}\right)$ metres where $\mathrm{x}$ is expressed in metres and $\mathrm{t}$ in seconds. The speed of the wave-motion, in $\mathrm{ms}^{-1}$, is

  • A
    $300$
  • Correct answer
    B
    $600$
  • C
    $1200$
  • D
    $200$

Solution

$y=10^{-4} \sin \left(600 t-2 x+\frac{\pi}{3}\right)$. Comparing it with standard equation $y=A \sin (v t-k x) ; \quad v=600 m / s$

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

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