SHM AdvancedHardQuestion 31193
Question
For SHM x = A sin(ωt), time spent near the extreme positions is more than near the mean because:
- ASpeed is higher near extremes
- BSpeed is lower near extremes so particle spends more time thereCorrect
- CEnergy is zero near extremes
- DGravity pulls toward extremes
Correct answer
Speed is lower near extremes so particle spends more time there
Explanation
dt = dx/v. Near extremes, v → 0, so dx/v becomes large — particle spends more time near ±A. This is why SHM probability density peaks at extremes.