Physics - Wave on String Question with Solution | TestHub

Statement-1: For a wave $y(x,t)=A\sin (kx-\omega t)$, the particle velocity is $v_y=\frac{\partial y}{\partial t}=-A\omega \cos (kx-\omega t)$. The particle acceleration is $a_y=\frac{\partial v_y}{\partial t}=-A{\omega }^2\sin (kx-\omega t)$. The maximum particle acceleration is $|a_y{|}_{max}=A{\omega }^2$. So, Statement-1 is true.

Statement-2: For a wave of the form $f(kx+\omega t)$, the wave propagates in the negative x-direction. For $y(x,t)=A\cos (\omega t+kx)$, the wave propagates along the negative x-axis. So, Statement-2 is false.