IB · C · multiple choice
Wave behaviour · Question 6
Wave behaviour · Original GioPhysics question with a detailed, mark-by-mark answer guide.
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multiple choice1 mark
A particle undergoes simple harmonic motion described by x = x₀ sin(ωt). At what displacement is the kinetic energy equal to the potential energy?
- A
x₀/4
- B
x₀/2
- C
x₀/√2
- D
x₀
Ready to self-mark?Reveal the detailed answer guide
Answer overviewCorrect answer: C — x₀/√2
01
1 markAnswer and reasoning
How to approach it
Predict from the governing principle before looking for a matching option. Then reject alternatives by checking direction, units, limiting behaviour or the physical meaning of each statement.
- 1
The correct choice is C: x₀/√2
- 2
B is the answer of a candidate who splits the displacement in half rather than the energy. The potential energy goes as x², so it is half the total when x² = x₀²/2.
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