the photoelectric effect Flashcards

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1
Q

what does shining light on a metal do

A

release electrons

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2
Q

how do you get a metal to to emit electrons

A

if you shine a light of a high enough frequency onto the surface of the metal

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3
Q

what is the high enough frequency for most metals

A

in the UV range

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4
Q

what do free electrons on the surface of the metal do

A

absorb energy from light

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5
Q

what happens if an electron absorbs enough energy

A

the bonds holding the electrons to the metal break and the electron is released

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6
Q

what is this called

A

the photoelectric effect

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7
Q

what are the electrons emitted called

A

photoelectrons

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8
Q

what is the first conclusion

A

for a given metal, no photoelectrons are emitted if the radiation has a frequency below a certain value - called the threshold frequency

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9
Q

what is the second conclusion

A

the photoelectrons are emitted with a variety of kinetic energies

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10
Q

what do the kinetic energies range from

A

0 to some maximum value

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11
Q

how does the maximum kinetic energy increase

A

it increases with the frequency of the radiation and is unaffected by the intensity of the radiation

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12
Q

what couldnt explain the photoelectric effect

A

wave theory

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13
Q

according to wave theory, what is the energy carried proportional to

A

to the intensity of the beam

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14
Q

according to wave theory, what would happen to the energy carried by the light

A

spread evenly over the wave front

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15
Q

according to wave theory, what would each free electron on the surface of the metal gain

A

a bit of energy from each incoming wave

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16
Q

according to wave theory, what would gradually happen

A

each electron would gain enough energy to leave the wave

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17
Q

what does higher intensity of the wave equal

A

the more energy it should transfer to each electron

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18
Q

therefore what else should increase with intensity

A

kinetic energy

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19
Q

what is the issue with this

A

there is no explanation for the kinetic energy depending only on the frequency

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20
Q

what is there also no explanation of

A

the threshold frequency. according to wave theory the electrons should be emitted eventually no matter what the frequency is

21
Q

what can this whole problem be explained by

A

einsteins photon model of light

22
Q

what did einstein suggest

A

electromagnetic waves (and the energy they carry) exist in discrete packets called photons

23
Q

what is the formula for the energy carried by one of these photons

A

E = h x f = hc/(labda)

24
Q

what did einstein see the photons as

A

as having a one-on-one particle like interaction with an electron in a metal surface

25
Q

what would a photon do

A

transfer all its energy to one, specific electron

26
Q

according to photon model, what happens when light hits the surface

A

the metal is bombarded by photons

27
Q

according to photon model, what happens if one of these photons collides with a free electron

A

the electron will gain energy equal to h x f

28
Q

what does an electron need to do before it can leave the surface of the metal

A

enough energy to break the bonds holding it there

29
Q

what is this energy called

A

the work function Φ

30
Q

what does its value depend on

A

the metal

31
Q

what does the photon model do

A

explain the threshold frequency and maximum kinetic energy

32
Q

when is an electron emitted

A

if the energy gained by an electron on the surface of a metal, from a photon, is greater than the work function

33
Q

what if the energy isnt

A

the metal will heat up but no electrons will be emitted

34
Q

what is the formula for threshold frequency

A

f = Φ/h

35
Q

what is the energy transferred to a photon

A

h x f

36
Q

what is the value of the kinetic energy the electron will be carrying when it leaves the surface of the metal

A

(h x f ) - any energy lost in its way out

37
Q

what do electrons deeper down the metal do and what does that explain

A

lose more energy than electrons in the surface which explains the range of energies

38
Q

what is the minimum amount of energy it can lose

A

the work function Φ

39
Q

what is the formula for maximum kinetic energy of a photoelectron

A

h x f = Φ + Ek(max) where Ek(max) = 1/2 x m x v(max)^2

40
Q

what is the kinetic energy of the electrons independent of

A

the intensity as they can only absorb one photon at a time

41
Q

what is intensity

A

the number of photons per second on an area

42
Q

what does increasing the intensity do

A

more photons per second on an area - each photon has the same energy as before

43
Q

what gives the maximum kinetic energy

A

stopping potential

44
Q

how can maximum kinetic energy be measured

A

using the idea of stopping potential

45
Q

how are emitted electrons made to lose their energy

A

by doing work against an applied potential difference

46
Q

what is the stopping potential, Vs

A

the potential difference needed to stop the fastest moving electron, with Ek(max)

47
Q

what is the work done by potential difference that stops the fastest moving electron equal to

A

the energy they were carrying

48
Q

write out the formula of this

A

e x Vs = Ek(max) where e is the charge of an electron (1.60 x 10^-19)

49
Q

what is work done

A

potential difference x charge