Mathematics · Oscillations
Consider a particle with total energy E oscillating in a one-dimensional potential U(x) = A|x|n with A > 0 and n > 0. Which of the following gives the correct relation between the time period of oscillation T and the total energy E?
- 1T ∝ E1n - 12✓
- 2T ∝ E0
- 3T ∝ En
- 4T ∝ E1n
Correct answer
T ∝ E1n - 12
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