5. Wave properties Flashcards
What is the principle of superposition?
When 2/more waves (of the same type) occupy the same position in space then the resultant wave is found by the vector sum of the individual displacements of the waves at any point
When two or more waves cross at a point, the displacement at that point is equal to the sum of the displacements of the individual waves
Gl o7
Define constructive interference?
- Same type of wave (transverse)
- Waves are in-phase
- Waves reinforce each other to produce a larger wave
Define destructive interference?
- Same type of wave (transverse)
- Waves are anti-phase
- Waves cancel each other to produce a smaller wave
Define total destructive interference?
Produces a zero resultant wave known as cancellation
Should be easy to know how to draw resultant wave forms with principle of superposition
I believe
How is a stationary wave formed?
Interference of:
- Two progressive waves
- Of same frequency & amplitude
- Travelling in opposite directions
Alternate name for stationary waves?
Standing waves
How are stationary waves commonly set up?
- Wave reflecting back from a surface
- Reflected waves interfere with original wave
Explain stationary waves?
- Incident wave & reflected wave
- Interfere each other
- Superposition happens
- Only certain frequencies to result resonance condition
Explain nodes
Places along wave w/ zero displacement
Destructive interference
Explain antinodes
Places between nodes that oscillate & suffer maximum displacement
- range of (maximum) constructive and destructive interference occur here
Formula for distance between adjacent nodes/adjacent antinodes?
Inter-nodal spacing is λ/2
State the amplitude for a stationary wave?
Varies between 0 and 2A
State the amplitude for a progressive wave?
A for all particles as the wave travels
State the frequency for a stationary wave?
Same for all particles except at nodes
State the frequency for a progressive wave?
Same for all particles
State the energy for a stationary wave?
No transfer
(energy stored within each loop)
State the energy for a progressive wave?
Energy transfer
State the waveform for a stationary wave?
Does not advance
State the waveform for a progressive wave?
Advances at the speed of wave
State the phase for a stationary wave?
All particles vibrate in-phase within a loop
(adjacent loops in antiphase)
State the phase for a progressive wave?
- Over one wavelength
- Particles have a range of phases between 0 and 2π