Waves 2 * Flashcards
What is a wave?
The oscillation of particles or fields
What is a progressive wave?
A wave that carries energy from place to place without transferring any material
What is a wave cycle?
One complete vibration of a wave
What is the displacement of a wave and what is the unit?
How far a point on the wave has moved from its equilibrium position (metres)
What is the amplitude of a wave and what is the unit?
The maximum magnitude of displacement (metres)
What is the period of a wave?
The time taken for a whole cycle to pass a given point (seconds)
What is the wavelength of a wave and what is the unit?
The length of one whole wave cycle, from crest to crest or trough to tough (metres)
What is the frequency of a wave and what is the unit?
The number of oscillations per second passing a given point (hertz)
What is the phase of a wave?
A measurement of the position of a certain point along the wave cycle
What is the phase difference of a wave?
The amount one wave lags behind another
What are units for phase and phase difference?
Degrees or radians
What are the symbols for displacement, amplitude, wavelength, period, and frequency?
Displacement = x, amplitude = A wavelength = λ, period = T, frequency = f
What is reflection?
When a wave is bounced back when it hits a boundary
What is refraction?
When a wave changes direction as it enters a different medium
What equation relates frequency and time period?
f = 1/T
What is the wave equation?
v = fλ
What is c?
The speed of light in a vacuum - 3 x 10^8 m/s
What type of waves of EM waves?
Transverse
Give some examples of transverse waves.
EM waves, water waves
What are the two types of graphs that can be drawn to show a transverse wave?
1 - displacement against distance along the path of a wave
2 - displacement against time for a point as the wave passes
What does the distance between two crests/troughs represent on a displacement-distance graph?
Wavelength
What does the distance between two crests/troughs represent on a displacement-time graph?
Time period
Electromagnetic waves travel as vibrations through…
… magnetic and electric fields
When looking at a graph representing a transverse wave, what must you look out for?
The label on the x axis. This may be distance or time, depending on what the graph is showing
Describe the vibrations on a transverse wave.
At right angles to the direction of energy transfer
Give some examples of a longitudinal wave.
Sound, pressure
What are the parts of a longitudinal wave?
Compressions, rarefactions
Do transverse and longitudinal waves require a medium?
Transverse - usually no
Longitudinal - usually yes
How are longitudinal waves represented on a graph?
Displacement against time.
Describe the vibrations in a longitudinal wave.
Parallel to the direction of energy transfer
What is a polarised wave?
A wave that only oscillates in one direction
Can transverse and longitudinal waves be polarised?
Transverse - yes
Longitudinal - no
What is polarisation?
Causing a transverse wave to only vibrate in one direction usually by passing it through a polarisation filter
What is some evidence for light being a transverse wave?
It can be polarised by reflection. A longitudinal wave could not do this, so light must be a transverse wave
Why can light waves be polarised?
They are a mixture of different directions of vibration. This means that they can be polarised by allowing only some of these directions to pass through a filter.
What is a polarising filter?
A panel that polarises waves by only allowing a specific direction of vibration to pass through
What happens in terms of polarisation when light is reflected off some surfaces?
It becomes partially polarised. This mean some of it vibrates in the same direction
What happens when two polarising filters are arranged at right angles to each other?
No light will get through
What happens if the two filters aren’t quite at right angles? What is done to the filter to prove this?
It instead reduced the intensity of the light passing through it, but still allows some light through. By rotating the filter, we can see the change in intensity.
Is most light we see polarised?
No - most light we see is polarised
How does glare work?
Light reflected off some surfaces is partially polarised - some of it is made to vibrate in the same direction.
When light is reflected off surfaces like water, glass or tarmac enters the eye, it can cause glare.
How does glare reduction work?
The fact that reflected light is partially-polarised allows us to filter some of it out with polarising filters.
If you view partially-polarised reflected light through a polarising filter at the right angle, you can block out some of the reflected light, while still letting through light which vibrates at the angle of the filter. This reduces the intensity of light entering your eye.
What is the effect of reducing glare used for?
Reducing unwanted reflections in photography, and in polaroid sunglasses to reduce glare
What does the amount of polarisation depend on?
The angle of the incident light
How do polaroid sunglasses work?
Partially polarised light is reflected into a polarising filter at the correct angle. This blocks out the unwanted glare.
How do TV and radio signals make use of wave polarisation?
The broadcasting aerial has rods, which emit polarised waves. TV aerials on homes have horizontal rods. These rods must be lined up in order to get maximum signal strength. The same thing happens with radio aerials.
Give two examples of when wave polarisation is used.
Polaroid sunglasses, and TV and radio signals
What does the principle of superposition state?
When two or more waves cross, the resultant displacement equals the vector sum of the individual displacements
Graphically, how do you superimpose waves?
Add the individual displacements at each point along the x axis and then plot these.
What happens when a crest meets a crest (or a trough meets a trough) and what is this called?
Constructive interference. The amplitude of the wave is increased.
What happens when a crest meets a trough of the same size and what is this called?
Destructive interference. The displacements cancel themselves out.
How do you work out the displacement of a combined wave?
Add the displacements of the two waves
What does it mean when two points on a wave are in phase?
They are both at the same point in the wave cycle. They are the same wavelength and velocity.
Which quantities are the same about points on a wave which are in phase?
Same velocity and same displacement
How many degrees is one complete wave cycle said to be?
360
How many radians is one complete wave cycle?
2π
What is the SI unit for an angle?
Radians
What is the phase difference of a vibrating particle?
The fraction of a cycle it has completed since the start of a cycle
What is the phase difference between two particles?
The fraction of a cycle between the vibrations of the particles measured in either degrees or radians. Difference in their positions in a wave’s cycle.
Waves with a phase difference of 0 degrees or a multiple of 360 degrees are said to be?
In phase
Waves with a phase difference of an odd number multiple of 180 degrees are said to be
exactly out of phase/in antiphase
When are two sources said to be coherent?
When they have the same wavelength and frequency, and they have a fixed phase difference between them
When are interference patterns most clear?
When the two sources are coherent
What is path difference and when is it relevant?
How much further a wave has travelled compared to another. This is used when looking at the type of interference between two waves that will occur at a certain point
Assuming that two sources are coherent and in phase, at what path difference will constructive interference occur?
At a whole number of wavelengths
Path difference = nλ
Assuming that two sources are coherent and in phase, at what path difference will destructive interference occur?
At a whole number of integer wavelengths and a half
Path difference = (n + 1/2)λ
When are superposed waves easier to ‘see’?
- The waves are of similar amplitude
-The waves have similar frequencies
- The waves have a constant phase difference
Examples of coherent sources?
Light produced by a laser, sound from two loudspeakers connected in parallel, light emerging from two apertures illuminated by the same source
What is a stationary wave?
The superposition of two progressive waves with the same frequency moving in opposite directions
What type of wave forms a stationary wave?
A progressive wave
Do stationary waves transmit energy?
No
Describe how stationary waves in a string can be demonstrated.
A vibration generator is attached to a piece of string at one end, while the string is fixed at the other end.
The frequency of the generator is varied until a resonant frequency is found.
Describe how the wave on a fixed piece of string (so it reflects at the end) changes with frequency.
At most frequencies, the pattern on the string is a jumble. If the vibration generator produces an exact number of waves in the time it takes a wave to get to the end and back, the original and reflected waves reinforce each other. This produces a stationary wave; the overall pattern doesn’t move along, it just vibrates up and down.
When do stationary waves only occur?
A wave interferes with its reflection, which only happens at specific frequencies. The nodes must occur at the point of return.
What is a node on a stationary wave?
Where the amplitude of vibration is zero. Points of total destructive interference.
What is an antinode on a stationary wave?
Where the maximum amplitude of the wave is. Points of constructive interference.
What are the sections of stationary wave on a string called?
Oscillating loops
What is resonant frequency for a stationary wave?
When an exact number of half wavelengths fit onto the string.