Waves Flashcards
Reflection
Wave changes direction at the boundary of a medium:
- moves away from new medium
- angle of incidence = angle of reflection
Refraction
Wave changes direction as it passes between mediums:
- moves into new medium
- wavelength and speed change
- wave bends towards normal when slowing down
Find wave speed
Speed = wavelength*frequency (v = λf)
Polarised waves
- oscillations in only one plane
- only transverse waves
Polarising filter
- filters oscillations into one direction
- unpolarised»_space; polarised causes a brightness decrease
- polarised»_space; polarised effect depends on angle of the filters
Result of two parallel polarising filters
Same as a single filter
Result of two perpendicular polarising filters
Blocks most light
Intensity
Radiant power through a surface per unit area
P/A
Find intensity at distance r from a spherical wave source
Intensity = power/spherical surface area (I = P/4πr²)
Relationship between intensity and amplitude
Intensity is proportional to amplitude^2
Snell’s law
n1sin(i) = n2sin(r)
Find refractive index
Refractive index = speed in vacuum/speed in material
n = c/v
Where are angles measured from in reflection and refraction?
The normal to the boundary
Snell’s law for critical angle
n1*sin(i) = n2
because angle of refraction is 90 so sin(r) = 1
Total internal reflection
When angle of incidence is greater than the critical angle, so only reflection happens
Coherent waves
Waves with a constant phase difference at their sources
Wave superposition
Two waves overlap and resultant displacement = sum of individual displacements
How to form a stationary wave
Interference of two progressive waves with:
- opposite directions
- same speed
- same frequency
Nodes of a stationary wave
Points with no amplitude (displacement always 0)
Antinodes of a stationary wave
Points with max amplitude
Find wavelength using a diffraction pattern
Wavelength = slit separation*fringe separation/distance from screen
(nλ = dsinθ
or
nλ = ax/D)
Find wave period
Period = 1/frequency (T = 1/f)
Find frequency (using wavelength)
Frequency = speed/wavelength (f = v/λ)
Find frequency (using period)
Frequency = 1/period (f = 1/T)
Transverse wave
Wave where oscillations are perpendicular to wave direction
Longitudinal wave
Wave where oscillations are parallel to wave direction
When is diffraction through a gap strongest?
When gap width = wavelength
Wavelength range of radio
> 0.1 m
Wavelength range of microwaves
1 mm < λ < 0.1 m
Wavelength range of infrared
700 nm < λ < 1 mm
Wavelength range of light
400 nm < λ < 700 nm
Wavelength range of ultraviolet
10 nm < λ < 400 nm
Wavelength range of x-rays and gamma rays
< 10 nm
Properties of EM radiation
- can be reflected, refracted and diffracted
- transverse (so can be polarised)
- can travel through a vacuum (at 3 x10^8 m/s)
1st order maxima
The set of points in an interference pattern where:
- path difference = 1 λ
- phase difference = 2π (same as 0)
- there is constructive interference
- resultant wave with max amplitude is formed
1st order minima
The set of points in an interference pattern where:
- path difference = 0.5 λ
- phase difference = π
- there is destructive interference
- resultant wave with min amplitude is formed
Phase difference
Difference in wave cycle progress between two points on a wave / waves (written as the diff in x value of two sin graphs)
Path difference
Difference in the distances of two waves from their own sources (can be measured in regular distance or in wavelengths)
Constructive interference
Superposition of two coherent waves in phase to form a resultant wave of maximum amplitude
Destructive interference
Superposition of two coherent waves in antiphase to form a resultant wave of minimum (or 0) amplitude
Amplitude
A wave’s maximum displacement from equilibrium
Wave displacement
Distance of a point from equilibrium in a given direction
Wavelength
Distance between adjacent peaks of a wave
Wave period
Time taken for one wavelength to pass a point
or time taken for a full oscillation at one point
Frequency
Number of wavelengths that pass a point per second
or number of full oscillations per second at one point
Interference
Superposition of coherent waves
Points in phase with each other in progressive vs standing waves
Progressive - points that are one wavelength apart are in phase
Standing - all points on the same side of equilibrium are in phase (same wave cycle progress)
Energy transfer in progressive vs standing waves
Progressive - energy transferred in wave direction
Standing - no net energy transfer
Amplitude in progressive vs standing waves
Progressive - all points have the same amplitude
Standing - amplitude changes along the wave (max at antinodes and 0 at nodes)
Fundamental frequency of a taut string / open tube
- frequency of the first standing wave that the string / tube can form (first harmonic)
- both ends are nodes for a string
- both ends are antinodes in a tube
- wavelength is double the string / tube length
Harmonics
Standing waves used to make sound in an instrument - frequency is a multiple of the fundamental frequency (odd multiples for closed tubes)
Fundamental frequency of a closed tube
- frequency of the first standing wave that the tube can form
- open end must be an antinode
- closed end must be a node
- wavelength is 4x the tube length
Wavelength in standing waves
Double the distance between two adjacent nodes