The principle of superposition
The resultant displacement at any point is found by adding the displacements of each separate wave
What is the adding together of waves called
Interference
When it makes a bigger waves it’s ______ interference
Constructive
When it makes no wave it’s ______ interference
Destructive
What happens to the waves when they are antiphase
They cancel out
Path difference of λ =
Phase difference of 2λ radians
Difference between nodes =
Difference between anti-nodes = 1/2 λ
How does interference work with reflected waves
The transmitter releases two waves and one of those two is reflected to form a triangle. The wave reflected must travel the (distance x λ) so that the waves are both received in phase.
If the path difference is whole then the interference is
Constructive
If the path difference has an extra half wavelength then the interference is
Destructive
Stationary wave definition
A wave meets and identical wave moving in the opposite direction at the same speed, frequency and amplitude at superposition
Nodes definition
The waves cancel out so that there’s no oscillation
Antinodes definition
Maximum oscillation
Progressive waves characteristics
Stationary waves characteristics
1st harmonic of a closed wave wavelength
2L
2nd harmonic of a closed wave wavelength
L
3rd harmonic of a closed wave wavelength
2L/3
4th harmonic of a closed wave wavelength
1/2L
Tension equation in symbols
c = √T / μ
Tension equation in words
Speed = the square root of ( tension / mass per unit length )
Closed pipe characteristics
Closed at one end, where the node is n and open at one end, where the anti node is
Is it possible to get even quarters of wavelength for a closed pipe
No
1/4 wave of a closed pipes wavelength
4L