Waves And Particle Nature Of Light Spec Points Flashcards
Amplitude
A wave’s maximum displacement from the equilibrium position
Frequency
The number of complete oscillations passing through a point per second
Period
Time taken for one full oscillation
Speed
Distance travelled by the wave per unit time
Wavelength
The length of one whole oscillation (e.g. the distance between successive peaks/troughs)
Longitudinal waves in terms of pressure variation
Pressure is decreased in the rarefactions and increased in the compressions
Longitudinal waves in terms of the displacement of particles
Rarefaction - neighbouring particles move away from each other
Compression - neighbouring particles move towards a point
What is the speed of all EM waves in a vacuum
3e8 ms-1
CP06: speed of sound using 2-beam oscilloscope, signal generator, speaker and microphone
Variables and equipment
IV - distance
DV - phase of received signals
CV - same location to carry out the experiment
- for each set of readings, the same frequency of sound
- signal generator with loudspeaker
- oscilloscope with 2-beam facility
- microphone
- 2 metre rulers
- connecting leads
CP06: speed of sound using 2-beam oscilloscope, signal generator, speaker and microphone
Method
- connect microphone and signal generator to an oscilloscope and set up the signal generator about 50cm from microphone
- set the signal to abt 4kHz
- the oscilloscope should trigger when the microphone detects a sound, adjust the time base so that the signal from the generator and the microphone can be on the screen with about three cycles visible
- adjust the separation so a trough on the upper trace coincides with a peak on the lower trace (this makes judging the point where the waves coincide easier)
- record the distance between the microphone and the signal generator (distance one, d1)
- move the microphone further away, watch the traces on the screen
- when the next trough and peak coincide, record the new distance (d2)
- repeat as many times as possible in the available space
- calculate the mean wavelength of the sound
- using the oscilloscope trace find the frequency of the sound
- reduce the frequency to around 2kHz and repeat
CP06: speed of sound using 2-beam oscilloscope, signal generator, speaker and microphone
Analysis of results
Speed of sound - v = f(lambda)
Frequency found from time base of oscilloscope by using f = 1/T
CP06: speed of sound using 2-beam oscilloscope, signal generator, speaker and microphone
Systematic and random errors
Systematic
- ensure the scale of the time base is accounted for correctly
The scale is likely to be small (e.g. milliseconds) so ensure this is taken into account when calculating frequency
- use the oscilloscope signal trace to find frequency to avoid relying on the dial of the signal generator
Random
- reduce by doing repeat readings and taking an average in measurements
- the time interval is small so make the distance between the microphone and signal generator as large as is practical
CP06: speed of sound using 2-beam oscilloscope, signal generator, speaker and microphone
Safety considerations
- the voltage and current are low, so normal care with electrical equipment is sufficient
- keep sound at a normal listening volume to avoid damage to hearing
Phase
The position of a certain point on a wave cycle. This can be measured in radians, degrees or fractions of a cycle
Phase difference
How much a particle/wave lags behind another particle/wave. This can be measured in radians, degrees or fractions of a cycle
Path difference
The difference in the distance travelled by two waves
Superposition
Where the displacements of two waves are combined as they pass each other, the resultant displacement is the vector sum of each wave’s displacement.
Coherence
A coherent light source has the same frequency and wavelength and a fixed phase difference
Wavefront
A wavefront is a surface which is used to represent the points of a wave which have the same phase
Two types of interference are -
And they occur during -
Constructive, destructive, superposition
Constructive interference
Occurs when two waves are in phase and so their displacement is added
Destructive interferecne
Occurs when the waves are completely out of phases and so their displacements are subtracted
If two waves are in phase …
They are both at the same point of the wave cycle, meaning they have the same frequency and wavelength (are coherent) and their phase difference is an integer multiple of 360degrees
Two waves will be completely out of phase when …
They are coherent and the phase difference is an odd integer multiple of 180 degrees
Path difference equation
Path difference = wavelength / 360 degrees x phase difference
What is a stationary/standing wave
Formed from the superposition of two progressive waves, travelling in opposite directions in the same place with the same frequency, wavelength and amplitude
How much energy is transferred by a stationary wave
None
In phase stationary waves
Constructive interference occurs so anitnodes are formed - regions of maximum displacement
Completely out of phase stationary waves
Destructive interference occurs and nodes are formed which are regions of no displacement
Speed of a transverse wave on a string equation
Speed = the square root of tension in the string over the mass per unit length of the string which is constant
Plane polarisation
A polarised wave oscillates in only one plane, only transverse waves can be polarised
How polarised sunglasses work
Reduce glare by blocking partially polarised light reflected from water and tarmac, as they only allow oscillations in the plane of the filter to pass through, making it easier to see.
Diffraction definition
Spreading out of waves when they pass through or around a gap
Huygens’ construction
Every point on a wavefront is a point source to secondary wavelets, which spread out to form the next wavefront.
Can be used to explain the diffraction of light when it meets an obstacle or passes through a gap
How wavelength affects diffraction
If wavelength is a lot smaller than the size of the slit, the wave barely diffracts
Whereas if the wavelength is closer to that of the slit, it diffracts more
The greatest amount of diffraction occurs when the gap is the same size as the wavelength
What is a diffraction grate
A slide containing many equally spaced slits very close together. When light is passed through a diffraction grating, it forms an interference pattern composed of light and dark fringes
Order lines of diffraction grating
The ray of light passing through the centre of a diffraction grating is called the zero order line
Lines either side of the zero order are the first order lines and so on
Diffraction grating equation
dsin0=n(laambda)
d - distance between the slits in the diffraction grating
Theta - angle to the normal made by the maximum (light fringe)
n - the oder
CP08: wavelength of light from a laser or other light source using a diffraction grating
Variables and equipment
IV - distance between maxima
DV - angle between normal and each order
CV - distance between the slits and the screen, D
- laser wavelength
- slit separation , d
Laser
Single slit
Double slit
Diffraction grating
Metre ruler
Vernier callipers
Retort stand
White screen
Set square
CP08: wavelength of light from a laser or other light source using a diffraction grating
Method
- Place the laser on a retort stand and the diffraction grating in front of it
- Use a set square to ensure the beam passes through the grating at normal incidence and meets the screen perpendicularly
- Set the distance D between the grating and the screen to be 1.0m using a metre ruler
- Darken the room and turn on the laser
- Identify the zero-order maximum
- Measure the distance h to the nearest two first-order maxima using vernier calliper
- Calculate the mean of these two values
- Measure distance h for increasing orders
- Repeat with a diffraction grating with a different number of slits per mm
CP08: wavelength of light from a laser or other light source using a diffraction grating
Analysis of results
n(lambda)=dsin0
distance between slits is equal to d = 1/N where N is the number of slits per metre
Theta:
Tan0=h/D