Question

The graph plotted between phase angle $\left(\varphi \right)$ and displacement of a particle from equilibrium position (y) is a sinusoidal curve as shown below. Match the following:

Answer 1

As KE is maximum when y is minimum and vice versa

y is minimum at $\varphi =0$ and maximum at $\varphi =\pi /2$

there A->2

Now when KE is maximum PE is minimum and vice versa therefore, B->1

Since Total Energy always remains constant by conservation of mechanical energy principle therefore, C->3

Since v is maximum when KE is maximum but it varies sinusoidal with phase and becomes negative when phase between $\pi /2<\varphi <3\pi /2$

therefore, D->4