Mathematics · Classical Mechanics
Consider circular orbits in a central force potential V(r) = -krn, where k > 0 and 0 < n < 2. If the time period of a circular orbit of radius R is T1 and that of radius 2R is T2, then the ratio T2T1 is:
- 12n + 1
- 22(n/2) + 1✓
- 322n/3
- 42n/2
Correct answer
2(n/2) + 1
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