Waves Flashcards
What is a progressive wave
A moving wave that transfers energy from one point to another without moving matter
What is the displacement of a wave
The distance a point on a wave has moved from equilibrium position
What is amplitude
The maximum magnitude of displacement of a point on a wave from equilibrium position
What is wavelength
The distance between 2 adjacent points on a wave that are moving in phase
What is a time period
The time taken for a complete wave cycle to pass
What is frequency
The number of cycles per second
How are freuency and time period linked
f = 1/T
How do you calculate wavespeed
c = fλ
Transverse waves features
Oscillations of the particles/ field is perpendicular to the direction of wave travel/ energy transfer
e.g. electromagnetic waves, water waves, seismic S waves
Longitudinal waves featrues
Oscillations of the particles/ field is parallel to the direction of wave travel/ energy transfer
e.g. sound waves (ultrasound, infrasound), seismic P waves
What is an unpolarised wave
A wave that has oscillations in all planes that are perpendicular to the direction of wave travel
What is a polarised wave
A wave that has oscillations in only one plane that is perpendicular to the direction of wave travel
How can waves become polarised
Pass the waves through a polarising filter
Only oscillations in a certain plane (the transmission axis) are transmitted
Oscillations in other planes are absorbed
Intensity is reduced
What is partial plane polarisation
It happens when waves are reflected from a reflective surface
e.g. if the surface is horizontal, a proportion of the reflected light will oscillate more in the horizontal plane than the vertical plane
What are some uses of polarisers
Polaroid sunglasses and photography - to reduce glare
Radio and microwave signals - aerial orientation
What is the principle of superposition
When 2 (or more) waves arrive at a point, they interfere and the resultant displacement is the vector sum of the displacements of each wave.
What are coherent waves
Waves with the same frequency (or wavelength)
Waves with a fixed phase difference between them
What occurs when 2 coherent waves are in phase
Constructive interference
What occurs when 2 coherent waves are in anti-phase
Destructive interference
What are stationary waves
Waves that store energy
How do you form stationary waves
The superposition of 2 progessive waves travelling along the same line
The waves must have the same speed, frequency (or wavelength), similar amplitude and be travelling in opposite directions
Stationary wave features
Nodes have zero amplitude, anti-nodes have maximum amplitude
The wavelength is twice the distance between 2 adjacent nodes
Between 2 nodes: the points are in phase and in anti-phase with the points bewteen the next set of nodes
What occurs at resonant frequencies
An exact number of half wavelengths fit into the string
Features of the nth harmonic (string of length L, with wavespeed v)
n + 1 nodes and n anti-nodes
Number of wavelengths is n/2
λ = 2L/n
fn = vn/2L = nf1
How does the lenght of the string affect the resonant frequency
f = v/2L, f ∝ 1/L
As length increases, frequency decreases
How does mass per unit length affect the resonant frequency
μ = m/L
As μ increases, a heavier string causes waves to travel slower, as f = c/λ, f decreases as c decreases
f ∝ 1/√μ
How does the tension in the string affect the resonant frequency
T = mg
As T increases, waves travel faster
As f = c/λ, f increases
f ∝ √T
What is the equation for the resonant frequency of the first harmonic
f1 = 1/2L x √T/√μ