The potential energy function for a particle executing linear SHM is given by \(V \left(\right. x \left.\right) = \dfrac{1}{2} \left(kx\right)^{2}\) where \(k\) is the force constant of the oscillator (Fig). For \(k = 0.5~\text{N/m},\) the graph of \(V~(x)\) versus \(x\) is shown in the figure. A particle of total energy \(E\) turns back when it reaches \(x = \pm \left(x \right)_{m}.\) If \(V\) and \(K\) indicate the \(PE\) and \(KE,\) respectively of the particle at \(x = + \left(x \right)_{m},\) then which of the following is correct?

              

1. \(V = 0, K = E\)
2. \(V = E, K = 0\)
3. \(V < E, K = 0\)
4. \(V = 0, K, E\)