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light will pass through a sphere
in a straight line
more dense =
bend towards the normal
less dense =
bend away from the normal
angle of incidence =
angle of reflection
snells law
n 1 sin theta 1 = n 2 sin theta 2
what is n
refractive index
define n
ratio of velocity of light in a vacuum to its velocity in a specified medium
equation for n
c/vm
what happens to frequency going through materials
stays the same
what happens to speed going into a denser material
slows down
what happens to wavelength going into a more dense material
decreases
equations needed for snells law derivation
t = d/v, v = c/n
critical angles occur going from
more dense to less dense
critical angle equation =
arcsin n2/n1
optical fibres
light rays approach at larger than critical angle, total internal reflection occurs, inner core has high refractive index, outer cladding has low
uses of optical fibres
communication - immune to electromagnetic interference, can travel long distances, and endoscopes - less invasive and faster recovery
issues with optical fibres
attenuation - signal loses energy as it travels, and multi-mode dispersion, multiple paths to take so light doesn’t arrive at the same time, need to leave extra time to ensure no interference
graph for refractive index practical
plot sin theta 1 y against sin theta 2 x and gradient is refractive index
the photoelectric effect
photons of sufficient energy are absorbed by electrons in the metal causing electrons to escape
why does the surface heat up during the photoelectric effect
emission of incorrect wavelength photons
work function =
minimum energy required for electrons to escape the surface of a metal aka threshold frequency
higher frequency of light =
higher speed
higher intensity of light =
higher number of electrons released
photoelectric equation
ek max = hf - work function
photon energy equation
e = hf
wavelength equation
c = f lambda
electron volts are
the energy gained by an electron when it is accelerated through a potential difference of one volt
charge equation
energy = charge x pd
what wavelength is red light
650-750
what wavelength is violet light
380-450
arguments for light being a particle
no electrons released below threshold frequency, continuous energy transfer should eventually release, increasing intensity affects number of electrons, frequency increasing causes speed increasing not intensity
practical for photoelectric effect
if negative pd introduced, electrons are repelled, so reverse polarity, pd turned up until current is zero, this is stopping voltage, then use e=qv to find kinetic energy
modifications for photoelectric effect practical
add ammeter, add variable power supply, reverse connection on power supply
graphical analysis of photoelectric effect
planck’s constant = gradient, work function = y intercept, plot ek against f
what do waves do
transfer energy, reflect, refract, diffract, superposition
what happened when electrons were sent through a double slit
behaved as a wave
debroglie wavelength equation
lambda = h/p
what is radiation pressure
force when a photon is reflected or absorbed
radiation pressure =
(h/lambda)/change in time // area
if a photon is reflected then what happens to radiation pressure equation
h/lambda doubles because momentum is double
emission line spectrum looks like
black with coloured lines
how are emission line spectrums formed
hot gas emits photons, electrons excited then fall back
absorption line spectrums look like
colours with black lines
absorption line spectrums are formed when
specific wavelength photons are absorbed by elements
LEDs practical to find planck’s constant
plot threshold voltage for each colour bulb against 1/lambda, gradient is hc/e so find plancks constant
laser stands for
light amplification by stimulated emission of radiation
what happens during absorption
photon absorbed, electron excited
what happens during spontaneous emission
photon of energy difference given off, electron drops down due to unstable state
what happens during stimulated emission
photon enters, knocks electron down which sends another photon out activating more aka light amplification
what happens during pumping
supplying photons of exact energy difference to cause multiple absorptions, achieving population inversion where more electrons are excited than in ground state
why cant population inversion happen with only two levels
once half the electrons are excited, stimulated emission becomes just as likely as absorption
three level lasers
pumping, absorption up to top level, spontaneous emission to metastable second level, spontaneous emission which triggers stimulated emission
how are lasers different from normal light
monochromatic, plane polarised, coherent, travels in same direction
four level lasers
same as two level lasers but bottom level spontaneous emission occurs instead of amplification which occurs on second level. electrons are recycled after dropping back to ground state
laser construction
pumping into population inversion in an amplifying medium, 100% reflecting mirror one side, 99% reflecting mirror other side
facts on laser construction
photons bounce back from mirror causing stimulated emissions, low efficiency, large energy needed to cool laser
laser diodes are
newer lasers
advantages of laser diodes
cheaper, smaller, more efficient, easy to mass produce
uses of laser diodes
dvd / cd players, barcode readers, telecomms, image scanning and surgery
progressive waves =
a pattern of disturbances which transfer energy where particles in the medium oscillate about the equilibrium position
transverse waves
direction of oscillation is perpendicular to energy transfer
longitudinal waves
direction of oscillation is parallel to energy transfer
polarisation
a transverse wave is changed to only oscillate in a single plane
what happens if two polarisation filters are put in a row
if parallel, some light transmitted, if perpendicular, no light transmitted through
what will graph look like for polarising experiment
changing light intensity each quarter
in phase
doing the same thing at the same thing
antiphase
doing the opposite thing at the same time
radians
the angle subtended at the centre of a sector when the arc length equal to the radius
frequency equation
f = 1/time
wave speed equation
v = f lambda
0 radians =
in phase
pi radians =
antiphase
displacement =
vector distance of a particle from its equilibrium position at a given time
amplitude
maximum displacement from equilibrium
frequency
number of waves in one second (hz)
wavelength
distance between two consecutive points oscillating in phase
diffraction =
the spreading out of a wave as it passes through a gap
max diffraction occurs when
the gap is roughly the same size as the wavelength
interference
if two waves occupy the same region of space, the resultant displacement is the vector sum of individual displacement. in phase = constructive interference. antiphase = destructive interference
path difference =
difference in distance that two waves travel to meet at the same point expressed in terms of wavelength
if waves arrive in phase
path difference n lambda, maxima
if waves arrive in antiphase
path difference n lambda + 1/2, minima
path difference at second maxima
1 lambda
double slit equation
lambda = ay/D
double slit equation words
wavelength = distance between slits x distance between bright fringes / distance from slits to screen
diffraction grating equation
d sin theta = n lambda
diffraction grating equation words
distance between slits x angle between central axis and maxima = order number x wavelength
first order maxima
n = 1
second order maxima
n = 2
n max =
slit distance / wavelength
coherent sources
constant phase difference and same frequency
stationary waves have
no net transfer of energy
how are stationary waves formed
a progressive wave is reflected off a boundary and meets itself, interferes to form nodes and antinodes
what happens to amplitude on a stationary wave
varies
fundamental (harmonics) =
lowest frequency at which a stationary wave is formed
harmonics equation
lambda = 2l / number of loops
speed of sound practical
place tube into water, tune fork of known frequency above, raise tube until fundamental note heard, measure length of tube above water, repeat until note heard again and find average using equation v = f lambda
current =
rate of flow of charge
conventional current goes from
positive to negative
current equation
q = it