Superposition of waves
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- Sketch the result of the following superposition cases on the dashes line. Identify the constructive and destructive interference and give the value of the resultant amplitude.
- Bathtub water is sloshed back and forth with a frequency of 0.20Hz to produce standing waves. Suppose the standing wave produced is 120 cm long. Calculate the velocity of the water waves.
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Topic Notes
In this lesson, we will learn:
- Waves superposition
- Waves interference
- Standing waves
Notes:
Superposition (When two or more waves travelling though one another)
- As waves pass through each there is no change in:
Amplitude, direction, speed, frequency, wavelength - The displacement at the point where they meet is the sum of the displacements.
- When pulses pass through one another superposition takes place.
Interference
- When pulse meet at a point at the same time interference occurs.
- Interference is the result of the superposition of two or more waves (the point where they meet).
- Constructive interference: waves displacement are in the same direction, displacements add up, maximum displacement (ANTINODE)
- Destructive interference: waves displacement are in the opposite direction, displacements cancel out, zero displacement (NODES)
Standing waves
- When a string is plugged pulses travel back and forth, reflecting from the ends producing a complex of superposition called standing waves. Superimposed waves can produce standing waves.
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