Australia · Year 12

VCE Physics free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper VCE Physics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

A string of length 0.41 m is fixed at both ends. The speed of waves on the string is 340 m s−¹. What is the frequency of the fundamental (first harmonic)?

A 279 Hz

B 415 Hz

C 829 Hz

D 207 Hz

Worked answer

Correct answer: B — 415 Hz

  • For a string fixed at both ends the fundamental has half a wavelength on the string: λ = 2L = 0.820 m.
  • f₁ = v ÷ λ = 340 ÷ 0.820 = 415 Hz
  • Why the other options are wrong:
  • A (279 Hz): multiplied instead of dividing
  • C (829 Hz): used λ = L
  • D (207 Hz): used λ = 4L (a closed pipe)

Standing waves on a string fixed at both ends: L = nλ/2, so fn = nv/(2L) — all harmonics are present.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the VCE Physics free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.

How many full VCE Physics papers are there?

20 original papers for Victorian Year 12 students (VCE Units 3 and 4). Each is a full practice examination with Section A 20 multiple-choice, Section B 100 marks, 120 marks in all, 15 minutes reading time and 2 hours 30 minutes writing time, with a worked solution for every question. Papers start at A$15.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.