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Chapter 3.1c Photoelectric Effect
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the topic of this video is
electromagnetic energy and specifically
the photoelectric effect
uh we'll be describing the particle
nature of light in this video
before i jump into um some observations
of the photoelectric effect i just want to
to
uh briefly describe what the
photoelectric effect is based off of so
there's an observation that if we take
a metal plate okay so this is a metal plate
plate
if you shine light onto it
okay uh what sometimes depending on the
light source
we can actually observe so this is light
coming in
we can observe an electron or electrons
being ejected from
the surface of the metal plate and the
energy of those electrons
can be uh determined based off of the
velocity that they are ejected from the plate
plate
so what is the photoelectric effect then
let's take a look uh we have three
examples of different wavelengths here
so we have 700 nanometer
light 700 nanometer 550 nanometer and
400 nanometer
so the the uh
what i want to do before jumping into
the observation is to to remind you that
at 700 nanometer
light this is going to be the um
low frequency light in this particular
case 550 nanometer light is going to be the
the
medium frequency and 400 nanometer is
going to be the
high frequency so remember frequency and
wavelength are inversely related so the
higher the wavelength the lower the
frequency and vice versa
so in the case of 700 nanometer light on
the left what happens is
um when this light is being uh
exposed to the metal surface no
electrons are ejected
even if you increase the the brightness
of the light source
okay you increase the brightness of the
light source no electrons are ejected
which is an interesting
thing because if light is behaving
exactly as
a wave and only as a wave then
increasing the brightness should
in theory increase the energy of the
wave okay that's sort of the classical
view of
of waves but what we can see here is that
that
so so this uh no electrons are ejected
at 700 nanometers regardless of the
intensity of the light
but for 550 nanometer light which is has
a higher frequency
we do see electrons being ejected at a
velocity of 2.96 times 10 to the fifth
meters per second
if we increase the frequency yet again or
or
decrease the wavelength however you want
to view it
what we see is not only are electrons
still being ejected
right but they are being ejected now
with even greater kinetic energy at
with a with a velocity of six point two
two times ten to the fifth
meters per second so so really what this
exposed was a was a a paradox that
if light strictly behaved as a wave
there's no way that that could this these
these
um observations could could uh uh be
explained with a wave
alone because again increasing the
intensity of 700 nanometer light
did not cause electrons to be ejected
from the surface
it appears that there is some energy
quantization happening in the light itself
itself
that is not dependent on the amplitude
of the light but on the frequency
or the wavelength however you want to
view it and recall that this is what max
planck had been working on
quantized energy of emission from black
body radiators
so einstein made the connection there
before i jump into um
the uh the equation well i guess it's up
here i'll give i'll write out the
equation again in one second but
in general what i want you to also keep
in mind is that
when energy is released
by us by a substance or a system when
energy is released by system we call this
exothermic
and when energy is absorbed
by a system we call this endothermic
okay um so the equation then
that um einstein used to assign
to enable us to calculate energy of of light
light
particles is energy is equal to planck's
constant times
frequency um so he's just pretty much
applying planck's
quantization here to now think about
uh light as particles
as well as waves okay so if we think
about um
light as
particles this is what we refer to as
photons okay so when we think about a
photon we are thinking about a discrete
particle of electromagnetic energy
and again this is now referring to
something called the wave particle
duality if we take
electromagnetic radiation and do an
experiment like the double slit
experiment we see into an interference pattern
pattern
which is the culmination of constructive
and interference
of waves so that's clearly as a wave feature
feature
but if we do with the photoelectric
effect we see behaviors that can only be
explained by particles
okay so so this is considered the wave
particle duality so let's go ahead and
use this equation
now which we can now think about um
uh is really useful for energy being
absorbed or emitted by
uh substances to solve a practice problem
problem
so you can pause the video now if you
want to write this down in your notes
i'm going to go ahead and jump into it
so we have light from a neon sign
we are observing radiation from excited
neon atoms okay so the neon atoms are
emitting energy this is an exothermic
process you could say
and if this radiation has a wavelength
of 640
nanometers what is the energy of the
photon being emitted well we have this
equation the energy of light being
emitted is equal to
planck's constant times the speed of
light over wavelength so let's go ahead
and plug those
in 6.626 times 10 to the negative 34
joules seconds that's multiplied by each
other those units
that's a constant multiplied by another
constant 2.998 times 10 to the 8
meters per second i'm using the s to the
negative 1 to indicate per second
and we're going to divide all of that by
640 nanometers but right away you should
be looking for units to be cancelling out
out
and what we can see here is that
reciprocal seconds will cancel out with
seconds on the top
but meters on the top cannot cancel out
with nanometers we have to reconcile
those units so we're going to convert nanometers
nanometers
to meters in the bottom so i'm putting
nanometers down here
and meters on top nanometers will cancel
here and meters will cancel
between the entire denominator and the
entire numerator
now we need the actual unit conversion here
here
so we know that in one nanometer that is
equal to a really small value of meters
one times ten to the negative ninth
meters so now all we're left with in
terms of units
is uh joules which isn't the unit of
is a unit of energy so
we have three this should give you 3.10
times 10 to the negative
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