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IBDP Physics SL Predicted Paper 1B sample

Questions

Question 1

A ball performs vertical oscillations with displacement xx about the equilibrium position x=0x = 0. The displacement–time graph from t=0.0 st = 0.0\ \mathrm{s} to 0.60 s0.60\ \mathrm{s} shows damped oscillations.

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The steady-state amplitude AA of a driven oscillator is measured as the driving frequency ff is varied. The amplitude–frequency graph has a clear peak near 2 Hz2\ \mathrm{Hz}.

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Part a
[2]

State what is meant by the period and the amplitude of an oscillation.

Part b
[2]

Determine the period TT of the motion using the graph. Show how the value is obtained from the graph.

Part c
[2]

Using the graph, estimate the resonant (natural) frequency f0f_0 and the full width at half maximum Δf\Delta f. Hence calculate the quality factor Q=f0ΔfQ = \dfrac{f_0}{\Delta f}.

Part d
[1]

The amplitude on the displacement–time graph decreases with time. Explain this decrease in terms of forces and energy.

[7]

Question 2

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