Question

The graph shown the variation of displacement of a particle executing SHM with time. We inference from this graph that-

• A. the force is zero at time $\frac{3T}{4}$
• B. the velocity is maximum at time $\frac{T}{2}$
• C. the acceleration is maximum at time $T$
• D. the P.E. is equal to half of total energy at time $\frac{T}{2}$

Answer 1

Answer: (B)

the velocity is maximum at time $\frac{T}{2}$

As the graph shows the dissplacement vs time for a particle performing SHM,

At time $\frac{T}{2}$, the displacem,ent of particle is zero. So, it will be at the mean position of its SHM.

At time $\frac{T}{2};v=max$

$\therefore$ Total energy will be stored in form of the kinetic energy.

So, at $\frac{T}{2}$, the velocity will be maximum.