MCQ
In the wave equation $y =0.5 \sin \frac{2 \pi}{\lambda}(400 t - x )\,m$  the velocity of the wave will be ......... $m / s$
  • A
    $200$
  • B
    $200 \sqrt{2}$
  • $400$
  • D
    $400 \sqrt{2}$

Answer

Correct option: C.
$400$
c
$y =0.5 \sin \left(\frac{2 \pi}{\lambda} 400 t -\frac{2 \pi}{\lambda} x \right)$

$\omega=\frac{2 \pi}{\lambda} 400$

$K =\frac{2 \pi}{\lambda}$

$v =\frac{\omega}{ k } \quad[ v =400\,m / s ]$

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