General Equation of Waves

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The following physics revision questions are provided in support of the physics tutorial on General Equation of Waves. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the General Equation of Waves tutorials. The General Equation of Waves calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Waves Learning Material
Tutorial IDTitleTutorialVideo
11.2General Equation of Waves

Physics Revision Questions for General Equation of Waves

1. A wave particle oscillates according the equation

y(x,t) = 5 × sin(1.5π × x - 0.5π × t)

where x and y are in metres and t in seconds.

Which of the following is correct from the values of amplitude A, wave number k, and angular frequency ω?

  1. A = 5 m, k = 1.5 m-1, ω = 0.5 rad/s
  2. A = 5π m, k = 1.5π m-1, ω = 0.5π rad/s
  3. A = 5 m, k = 1.5π m-1, ω = 0.5π rad/s
  4. A = 5 m, k = 1.5π × x m-1, ω = 0.5π × t rad/s

Correct Answer: C

2. What are the speed for a wave whose general equation is

y(x,t) = 2 × sin(3.5π × x - 2.4π × t)

where x and y are in metres and t is in seconds?

  1. 0.57 m/s
  2. 0.69 m/s
  3. 3.45 m/s
  4. 0.83 m/s

Correct Answer: B

3. What is the oscillating speed at t = 4 s of the point O for the wave shown in the figure?

Physics Tutorials: This image provides visual information for the physics tutorial General Equation of Waves
  1. 0 m/s
  2. 0.75 m/s
  3. 2 m/s
  4. 0.75 π m/s

Correct Answer: B

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  5. Continuing learning waves - read our next physics tutorial: Energy and Power of Waves

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