The potential energy function for a particle executing linear SHM is given by

V(x)=12kx2 where

k is the force constant of the oscillator. For

k=0.5 Nm−1, the graph of

V(x) versus

x is shown in the figure. A particle of total energy

E turns back when it reaches

x=±xm. If

V and

K indicate the potential energy and kinetic energy, respectively of the particle at

x=+xm, then which of the following is correct?