AQA AS Level Physics Paper 2, June 2022: Question 18

1 mark · Easy difficulty · Multiple Choice

Identify the correct statement about a stationary wave formed on a uniform string from a given multiple-choice list.

Practise this question

Question

Multiple-choice question 18 asks to identify the correct statement about a stationary wave forming on a uniform string. Four options are provided: A, stating amplitude is maximum at nodes; B, stating distance between adjacent nodes equals one wavelength; C, stating oscillations at two adjacent antinodes are in antiphase; and D, stating time period varies along the string.
Question text

18 A stationary wave forms on a uniform string.

Which statement is correct?

[1 mark]

A The amplitude of oscillations is a maximum at the nodes.

B The distance between two adjacent nodes equals one wavelength.

C The oscillations at two adjacent antinodes are in antiphase.

D The time period of oscillating sections varies along the string.

Mark scheme

Show the mark scheme The mark scheme shows that the correct answer for question 18 is C (AO1), corresponding to the statement 'The oscillations at two adjacent antinodes are in antiphase.'

18 C (AO1) The oscillations at two adjacent antinodes are in antiphase.

How to answer it

Properties of Stationary Waves on a String

What this question tests

This question assesses your core knowledge and understanding of stationary (standing) wave characteristics (AO1), specifically regarding nodes, antinodes, amplitude distribution, phase relationships between points, and wavelength spacing.

Question 18 • Multiple Choice • 1 Mark

Evaluating the Statements

✅ Correct Answer: C

The oscillations at two adjacent antinodes are in antiphase.

As the string oscillates, all points between two adjacent nodes (including the antinode) reach their maximum displacement at the same time, but adjacent antinodes (separated by a node) move in opposite directions. When one antinode is at its maximum positive displacement, the adjacent antinode is at its maximum negative displacement—meaning they are out of phase by 180 degrees (antiphase).

💡 Key Knowledge

  • Nodes: Points of zero amplitude where destructive interference occurs permanently.
  • Antinodes: Points of maximum amplitude where constructive interference occurs.
  • Distance Rules: Distance between adjacent nodes = lambda / 2; distance between adjacent node and antinode = lambda / 4.
  • Phase: All parts of a stationary wave between two adjacent nodes are in phase with each other. Crossing a node results in a 180 degree (pi radians) phase shift.
  • Time Period: Every point on the stationary wave (except nodes) oscillates with the exact same frequency and time period.

🧠 Exam Technique

For multiple-choice conceptual questions:

  1. Rapidly evaluate each option by visualising or sketching a fundamental or harmonic wave loop.
  2. Rule out definitive false statements first (e.g., nodes have zero amplitude, not maximum amplitude).
  3. Check your phase definitions carefully: points separated by a single node are always in antiphase.

❌ Common Errors to Avoid

  • Confusing nodes with antinodes regarding amplitude (thinking nodes have maximum movement).
  • Believing the distance between adjacent nodes is equal to a full wavelength (lambda) rather than half a wavelength (lambda / 2).
  • Assuming different sections of a stationary wave oscillate at different frequencies or time periods.
Mark Scheme Allocation: 1 mark awarded for selecting C. (AO1 - Knowledge and Understanding)

Topics

Physics · 3.3 Waves

Question and mark scheme from the AQA AS Level Physics examination, Paper 2, June 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.