Question

The standing wave in a medium is expressed as $y=0.2$ $sin\left(0.8\right)xcos\left(3000\right)t$ the distance between any two consecutive points of minimum or maximum displacement is:

Answer 1

$y=\left(2Acos\omega t\right)$

$y=0.2sin\left(0.8x\right)cos\left(300t\right)$

$\omega =300=2\pi f$

$f=\frac{300}{2\pi }=\frac{150}{\pi }$

$k=0.8$

$\lambda =\frac{2\pi }{k}=\frac{2\pi }{0.8}=\frac{5\pi }{2}m$