The potential energy function for a particle executing linear SHM is given by 
where k is the force constant of the oscillator. For 
, the graph of V(x) versus x is shown in the figure. A particle of total energy E turns back when it reaches 
. If V and K indicate the potential energy and kinetic energy, respectively of the particle at 
then which of the following is correct?
Text Solution
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: At any instant, the total energy of an oscillator is the sum of kinetic energy and potential energy
Total energy E = K+ V
At x = 
the particle turns back, therefore its velocity at this point is zero, i.e. v = 0
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