6: Wave Behaviour Flashcards
What does the principle of superposition state?
When two or more waves overlap (superimpose), the resultant displacement equals the sum of the individual displacements at that position and time
define these words
wavelength
displacement (and amplitude)
frequency
time period
wavelength is the distance between equivalent points on 2 consecutive waves
displacement is the distance from the equilibrium position (amplitude is the maximum displacement from the equilibrium position)
Frequency is the number of complete waves passing a given point in one second.
Time period is the time taken for a wave to completely pass through any given point. This is the reciprocal of the frequency: 1/time period = frequency & 1/frequency = time period
Interference can be [] or destructive
Constructive
What is total destructive interference?
When a crest and a trough of equal size, combine to give nothing
What is an example of constructive interference?
When two crests combine to create a bigger crest
For the interference of the waves to be noticeable, what has to be almost equal?
The amplitudes of the 2 waves
what is phase
What does a phasor represent?
phase describes the stage in a wave cycle
The phase of the wave
Which way does a phasor rotate?
Anticlockwise
how to work out rate of phasor rotation
phasor rate of rotation is the same as wave frequency
What is the phase difference of waves exactly out of phase (antiphase)? What about their phasors?
Phase difference of odd-numbers of π radians. There phasors point in opposite directions
What does ‘in phase’ mean for 2 points on a wave?
Two points on a wave are in phase if they are both at the same point in the wave cycle
Points that have a phase difference of zero or a multiple of 2π are in phase - their phasors point in the same direction
What is the phase difference of two waves emitted from an oscillator?
They are in phase so their phase difference is a multiple of 2π
To get clear interference patterns the two sources must be []
coherent
What does it mean if two sources are coherent?
They have the same wavelength and frequency and a fixed phase difference between them
What affects whether you get constructive or destructive interference at a point?
Depends on how much further one wave has travelled than the other wave to get to that point (assuming the sources are coherent and in phase)
What is path difference?
The amount by which the path travelled by one wave is longer than the path travelled by the other wave is called the path difference
Describe constructive interference
At any point an equal distance from both sources (that are coherent and in phase), or where the path difference is a whole number of wavelengths
What is the path difference for constructive interference?
nλ where n is an integer
What is the path difference for total destructive interference?
(2n+1) λ/2
Describe total destructive interference
At any point where the path difference is an odd number of half wavelengths
define standing waves
transmitted wave reflected at boundary with a 180 degrees phase change. transmitted and reflected waves superpose creating nodes and antinodes. at certain frequencies positions of nodes and antinodes are constant, resulting in a standing wave
What is a standing wave? (simple)
The superposition of two progressive waves with the same wavelength, moving in opposite directions
When do you get a standing wave?
When a progressive wave is reflected at a boundary and superposes with another wave of the same wavelength
Is energy transmitted by a standing wave?
No
What are resonant frequencies?
Frequencies where the oscillator happens to produce an exact number of waves in the time it takes for a wave to get to the end and back again, then the original and reflected waves reinforce each other
What is a node?
A position, on a standing wave, of zero amplitude
What is an anti-node?
A position, on a standing wave, of maximum amplitude
Describe the fundamental frequency
The standing wave is vibrating at the lowest possible frequency, the fundamental frequency This is the first harmonic. It has one loop with the node at each end
What is another name for the second harmonic?
The first overtone
Describe briefly standing waves on stringed instruments
They are transverse standing waves. Your finger or the bow sets the string vibrating at the point of contact. Waves are sent out in both directions and reflected back at both ends
What does a cathode ray oscilloscopes measure? What does it display?
Voltage It displays waves from an oscillator as a function of voltage over time
On a cathode ray oscilloscope, what does the vertical axis show? What does the horizontal axis show?
Vertical: voltage Horizontal: time
Describe standing waves and the wind instrument or other air column.
They are longitudinal standing waves If a source of sound is placed at the open end of a wind instrument, there will be some frequencies for which resonance occurs and a standing wave is set up Nodes form at close ends. Antinodes form at the open ends
What is refraction?
The way a wave changes direction as it enters a different medium
When does refraction occur?
When the medium a wave is travelling in changes
When a wave is refracted does the speed, wavelength, and frequency change?
The speed changes, the frequency stays constant, so the wavelength changes too