The potential energy function for a particle executing linear SHM is given by \(V (x) = \frac{1}{2}kx^2\) where k is the force constant of the oscillator (Fig. 6.2). For k = 0.5 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 = ± xm . If V and K indicate the P.E. and K.E., respectively of the particle at x = +xm, then which of the following is correct?

1
V = O, K = E
2
V = E, K = O
3
V < E, K = O
4
V = O, K < E.

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