IB · C · multiple choice
Wave behaviour · Question 1
Wave behaviour · Original GioPhysics question with a detailed, mark-by-mark answer guide.
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multiple choice1 mark
The amplitude of a mass–spring oscillator is doubled while its mass and spring constant are unchanged. What happens to its period and to its total energy?
- A
period unchanged, energy doubled
- B
period unchanged, energy quadrupled
- C
period doubled, energy doubled
- D
period doubled, energy quadrupled
Ready to self-mark?Reveal the detailed answer guide
Answer overviewCorrect answer: B — period unchanged, energy quadrupled
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 B: period unchanged, energy quadrupled
- 2
The independence of period from amplitude is the defining feature of simple harmonic motion, which rules out C and D. Total energy is ½kx₀², so it goes as the square of the amplitude — A halves that dependence.
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