Question 1

The frequency of the first harmonic of a standing wave on a wire is 𝑓. The length of the wire and tension in the wire are both doubled.

What is the frequency of the first harmonic as a result?

√2f​
f
√2 f
2 f

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Question 2

The diagram shows a string stretched between two fixed points O and R which are 120 cm apart.

P and Q are points on the string.

OP = 30 cm

OQ = 90 cm

At a certain frequency the string vibrates at its first harmonic.

P and Q oscillate in phase.

The frequency is gradually increased.

What is the next harmonic at which P and Q will oscillate in phase?

  A  

second

  B  

third

  C  

fourth

  D  

fifth

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Question 3

Stationary waves are set up on a rope of length 1.0 m fixed at both ends.

Which statement is not correct?

  A  

the first harmonic has a wavelength of 2.0 m

  B  

the midpoint of the rope is always stationary for even-numbered harmonics

  C  

A harmonic of wavelength 0.4 m can be set up on the rope


  D  

there are five nodes on the rope for the fifth harmonic

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Question 4

The frequency of the first harmonic of a wire fixed at both ends is 300 Hz.

The tension in the wire is now doubled.

What is the frequency of the first harmonic after this change?

  A  

150 Hz

  B  

210 Hz

  C  

420 Hz

  D  

600 Hz

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Question 5

The fundamental frequency f is the lowest frequency heard when a stretched string is vibrating.

The string is now lightly touched one third of the way along its length.

What is the lowest frequency heard?

3f​
32 f​
f
3 f

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Question 6

A uniform wire, fixed at both ends, is plucked in the middle so that it vibrates at the first harmonic as shown.

What is the phase difference between the oscillations of the particles at P and Q?

zero
4π​ rad
2π​ rad
43π​ rad

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Question 7

Ships have been damaged by water waves with large amplitudes. These waves could have been formed by adding the displacements of smaller waves.

Which term describes this phenomenon?

  A  

diffraction


  B  

polarisation

  C  

refraction

  D  

superposition

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Question 8

This question is about progressive waves and stationary waves.

Which statement is not correct?

  A  

A progressive wave transports energy through space


  B  

A stationary wave must have at least one node

  C  

for both waves, the amplitude of the oscillation is the same everywhere along the wave

  D  

in the stationary wave, the oscillations of the particles at two adjacent antinodes are out of phase by 180°

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Question 9

This question is about a progressive wave and a stationary wave.

Which statement is correct?

  A  

A progressive wave has at least one node


  B  

all progressive waves are longitudinal

  C  

all particles oscillating between two adjacent nodes in a stationary wave are in phase


  D  

the superposition of two waves travelling in the same direction produces a stationary wave


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