Consider a particle with total energy E is oscillating in a potential U (x) = A|x|" with A>0 and n>0 in one dimension. Which one of the following gives the relation between the time-period of oscillation T and the total energy E: (a) Toc En-1/2 (b) To Eº (c) To E" (d) To En

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Consider a particle with total energy E is oscillating in a potential U(x) = A|x|" with
A>0 and n>0 in one dimension. Which one of the following gives the relation between
the time-period of oscillation T and the total energy E:
1/n-1/2
(a) T∞ E¹
0
(b) Tx Eº
(c) TxE"
(d) To En
Transcribed Image Text:Consider a particle with total energy E is oscillating in a potential U(x) = A|x|" with A>0 and n>0 in one dimension. Which one of the following gives the relation between the time-period of oscillation T and the total energy E: 1/n-1/2 (a) T∞ E¹ 0 (b) Tx Eº (c) TxE" (d) To En
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