General Equation of Waves

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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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