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Wave Model

Question 1

What is the relation between the direction the particles oscillate, and the direction in which energy is transferred, for a transverse and a longitudinal wave?

  • A) Transverse: Parallel Longitudinal: Parallel
  • B) Transverse: Parallel Longitudinal: Perpendicular
  • C) Transverse: Perpendicular Longitudinal: Parallel
  • D) Transverse: Perpendicular Longitudinal: Perpendicular

Answers and Explanations

Question 2

A transverse wave is travelling to the right with an amplitude \(X\), period \(T\), and wavelength \(\lambda\). What is the distance between a neighbouring crest and a trough?

  • A) \(X\)
  • B) \(XT\)
  • C) \(\lambda\)
  • D) \(\frac{\lambda}{2}\)

Answers and Explanations

Question 3

Which distance is twice the amplitude of a transverse wave?

  • A) The distance between a crest and the equilibrium point.
  • B) The distance between a trough and the equilibrium point.
  • C) The distance between a crest and trough.
  • D) The distance between 2 points that are in phase.

Answers and Explanations

Question 4

A transverse wave is travelling at a speed of \(10 \, \text{ms}^{-1}\) and with a wavelength of 50cm. What is the frequency of the wave?

  • A) \(20 \, \text{Hz}\)
  • B) \(0.2 \, \text{Hz}\)
  • C) \(0.05 \, \text{Hz}\)
  • D) \(5 \, \text{Hz}\)

Answers and Explanations

Question 5

Why are sounds better heard on a cold, still night?

  • A) There is less light so sound waves travel more freely.
  • B) When the sound passes from warm to cold air it refracts.
  • C) The moon refracts some of the sound being made.
  • D) There is no difference.

Answers and Explanations

Question 6

What type of waves are electromagnetic waves?

  • A) Transverse
  • B) Longitudinal
  • C) Both
  • D) Neither

Answers and Explanations

Question 7

Which of the following statements correctly distinguishes between transverse and longitudinal waves?

  • A) Transverse waves oscillate parallel to the direction of energy transfer, while longitudinal waves oscillate perpendicular.
  • B) Transverse waves oscillate perpendicular to the direction of energy transfer, while longitudinal waves oscillate parallel.
  • C) Both transverse and longitudinal waves oscillate perpendicular to the direction of energy transfer.
  • D) Both transverse and longitudinal waves oscillate parallel to the direction of energy transfer.

Answers and Explanations

Question 8

Which of the following is true about sound waves?

  • A) Sound waves are transverse waves that travel in a vacuum.
  • B) Sound waves are longitudinal waves that require a medium to propagate.
  • C) Sound waves are transverse waves that require a medium to propagate.
  • D) Sound waves are longitudinal waves that can travel in a vacuum.

Answers and Explanations

Question 9

A wave has a frequency of \(500 \, \mathrm{Hz}\) and a wavelength of \(0.8 \, \mathrm{m}\). What is the speed of the wave?

  • A) \( 200 \, \text{m/s} \)
  • B) \( 600 \, \text{m/s} \)
  • C) \( 400 \, \text{m/s} \)
  • D) \( 800 \, \text{m/s} \)

Answers and Explanations

Question 10

The displacement-time graph of a particle undergoing simple harmonic motion is shown below. What does the gradient of the displacement-time graph represent?


  • A) The velocity of the particle
  • B) The acceleration of the particle
  • C) The angular frequency of oscillation
  • D) The total energy of the system

Answers and Explanations

Question 11

The graph below shows the displacement distance graph of a longitudinal wave. Positive displacements mean displacement to the right, negative displacements mean displacement to the left. Which of the points represent the center of a compression?


  • A) Point A
  • B) Point B
  • C) Point C
  • D) Point D

Answers and Explanations

Question 12

The graph below shows the displacement distance graph of a longitudinal wave. Positive displacements mean displacement to the right, negative displacements mean displacement to the left. Which of the points represent neither a center of compression or a rarefaction?


  • A) Points A and B
  • B) Points B and C
  • C) Points A and C
  • D) Points B and D

Answers and Explanations

Question 13

The acceleration \(a\) of a particle undergoing SHM is related to its displacement \(x\) by: \(a = -\omega^2 x \).

Which of the following graphs correctly represents the relationship between acceleration and displacement?

  • A) A straight line through the origin with positive slope.
  • B) A straight line through the origin with negative slope.
  • C) A parabolic curve passing through the origin.
  • D) A sinusoidal curve.

Answers and Explanations

Question 14

The velocity-time graph for a particle in SHM is given by. Which of the following statements is true about this graph?


  • A) The velocity is maximum when the displacement is maximum.
  • B) The velocity is zero when the displacement is zero.
  • C) The velocity is maximum when the displacement is zero.
  • D) The velocity is constant throughout the motion.

Answers and Explanations