Phase difference
The difference in displacement of two points on a single wave or two waves measure in degrees or radians
What are coherent wave
Two sources of waves that have the same frequency and constant phase difference.
Superposition
When two waves of the same type meet, they pass through each other. When they superpone they produce a single wave whose instantaneous displacement can be found using the principle of superposition of waves
The principal of superposition of waves
When two waves meet at a point the resultant displacement at that point is equal to the sum of the displacement of the individual wave
Interference
The effect when two progressive waves superpose creating a resultant wave with a different displacement. Waves have a constant phase difference
2 types of interference
Constructive -Superposition of two waves in phase, so
that the resultant wave has a greater
amplitude than the original waves so a larger intensity as I is prop to A^2.
Destructive- superposition of two waves are in antiphase, max pos lines up with max neg so resultant displacement decreases. If waves have equal amplitude then resultant is zero so intensity is zero.
What is needed for interference to happen
Waves must be coherent
Path difference
The difference in distance travelled from
the source, to the point the waves meet
Monochromatic source
Waves have a single frequency (and
therefore a single wavelength
Stationary wave
Formed when two progressive waves with the same efrequency and amplitude travel in opposite directions are superposed
Node
A point when two waves are in antiphase and displacement cancels out
Antinode
A point when two waves are in phase and displacement doubles
Fundamental frequency
The lowest frequency at which an object can vibrate - dependent on mass and tension and length of object ( eg a string fixed on both ends or air column in an air pipe
Harmonics
A multiple of the fundamental frequency
Difference between amplitude and displacement of a particle at an antinode
The amplitude is the maximum magnitude of displacement of a particle from its equilibrium position