IB Physics HL Theme C: Wave behaviour questions

Exam-style multiple choice and written questions with full markschemes. Check multiple choice answers straight away, or type, photograph or draw a written answer and get it marked.

Type

Multiple choice Written

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Question 1

Paper 2Easy6 marks

A position sensor tracks a component undergoing simple harmonic motion. Its displacement $x$ from equilibrium is modelled by

x=A\cos\phi,\qquad \phi=\phi_0+\frac{2\pi t}{T},

where the phase angle $\phi$ is in radians. The amplitude is $0.060\ \mathrm{m}$ the period is $0.80\ \mathrm{s}$ and the initial phase angle is $\pi/3$

(a)

State the phase angle at $t=0$

[1]

(b)

Calculate the phase angle at $t=0.20\ \mathrm{s}$ in radians.

[2]

(c)

Calculate the displacement of the component at $t=0.20\ \mathrm{s}$

[2]

(d)

State the increase in phase angle during one complete oscillation, in radians.

[1]

Question 2

Paper 2Easy9 marks

A string on a musical instrument is fixed at both ends and vibrates in the mode shown in Figure 1.

(a)

State the number of displacement nodes and the number of antinodes shown. Count the fixed ends as nodes.

[2]

(b)

The string has length $0.600\ \mathrm{m}$ and the wave speed on it is $120\ \mathrm{m\,s^{-1}}$ For the mode shown, calculate the wavelength and frequency. Give both answers to 3 significant figures.

[3]

(c)

Compare the oscillation amplitudes at A and B, and state their phase difference.

[2]

(d)

Sound travels at $340\ \mathrm{m\,s^{-1}}$ in a pipe of length $0.600\ \mathrm{m}$ The pipe is closed at one end and open at the other. Calculate the wavelength and frequency of the third harmonic. Ignore end correction.

[2]

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