IB Physics SL C.4.4 Resonance

Practise resonance questions by linking driving frequency, natural frequency, and amplitude graphs to real vibration situations.

Syllabus
First assessment 2025
Objective
Level
SL

Exam points

  • calculate the driving frequency from speed and spacing data, then compare it with the natural frequency
  • use the amplitude-frequency graph to identify the resonant peak and the frequency of maximum vibration
  • explain a risk decision by linking resonance to large amplitude on the graph and possible structural damage

C.4.4—Resonance question 1

[Maximum number: 2]

This question is in two parts. Part 1 is about solar radiation and the greenhouse effect. Part 2 is about a mass on a spring.

Part 1 Solar radiation and the greenhouse effect
The following data are available.

Table for Question C.4.4—Resonance question 1 — IB Physics SL

Point P now begins to move from side to side with a small amplitude and at a variable driving frequency f. The frictional force is still small.

At each value of f, the object eventually reaches a constant amplitude A.
The graph shows the variation with f of A.

Figure for Question C.4.4—Resonance question 1 — IB Physics SL

With reference to resonance and resonant frequency, comment on the shape of the graph.

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