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If the total ...

Question

If the total energy of the particle is $E$ , it will perform periodic motion only if

A

E < 0

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B

E > 0

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C

V_{0} > E > 0

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D

E > V_{0}

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Solution

The correct option is C $V_{0} > E > 0$
For periodic motion in the given potential the total energy should be less than the maximum potential energy that is $E < V_{0}$ . But also since it is energy of a particle it should be more than zero $E > 0$ . Therefore, option C.

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