Progressive and stationary waves

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Question 26
Medium

An experiment is done to investigate stationary waves on a string. A string of length 1.20 m1.20\text{ m}1.20 m is attached between a clamp stand and a vibration generator. A stationary wave is formed on the string when the vibration generator frequency is 400 Hz400\text{ Hz}400 Hz.

Figure 1 shows the variation of displacement with distance from one end of the string at time t=0t = 0t=0. At this time all points on the string have their maximum displacement. PPP is one point on the string.

A graph showing the variation of displacement with distance from one end of a string at time t = 0.

The stationary wave is produced by two progressive waves travelling in opposite directions on the string.

1.

Deduce the amplitude of one of the progressive waves.

[2]
2.

Determine the speed, in m s−1\text{m s}^{-1}m s−1, of one of the progressive waves.

[3]
3.

State the phase relationship between the two waves when t=0t = 0t=0.

[1]
4.

For the point PPP on the string, calculate its oscillation period, state its amplitude of oscillation, and describe its displacement-time behavior starting from t=0t = 0t=0.

[3]

Progressive and stationary waves Questions

  1. A Level
  2. /Physics
  3. /Progressive and stationary waves