Question

A long string under tension of $100N$ has one end at $x=0$. A sinusoidal wave is generated at $x=0$ whose equation is given by
$y=\left(0.01cm\right)\sin [\left(\frac{\pi x}{10}m\right)-50\pi t(sec\left)\right]$
Sketch the shape of the string at $t=\frac{1}{50}sec.$

Answer 1

$y=\left(0.01cm\right)sin(\frac{\pi x}{10}-50\pi t)$

So, here $w=50\pi$

or $T=\frac{2\pi }{w}=\frac{2\pi }{50}=\frac{1}{25}S$

which means there will be full wave at $T=\frac{1}{25}S$

So, at $t=\frac{1}{50}sec=\frac{T}{2}$ so, there is half wave

Hence, graph will be.