Chapter 13 Flashcards

1
Q

What is the photoelectric effect

What are the electrons emitted sometimes called

A

The idea that EM radiation shone on a bit of metal causes electrons to be emitted from them

Photoelectromd

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2
Q

How can you use the gold foil leaf experiment to show the photoelectric effect

A

1) briefly touch the top metal part with the negative cathode. Excess electrons should fall here as a result. These will then go to the stem and the leaf too, making them negative
2) as the stem and the leaf are negative , they repel each other , causing leaf to stand

3) however if a piece of metal is placed on top and UV light is shone on it - PHOTOELECTRONS WILL BE EMITTED , and a decrease of electrons will cause the negative charge to lower here, and thus the repulsion decreases

Perhaps if you continued to do it electrons more release making positive and repulsion happen again

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3
Q

Three KEY OBSERVATIONS FROM EXPERIMENT LEARN !

A

1) photoelectrons only emitted if radiation used was above a specific frequency, the threshold frequency. No matter how intense the frequency was before , if it did not hit threshold not even one electron released
2) when it did hit threshold, effect was instantaneous
3) When it hit threshold And intensity was increased , ONLY MORE ELECTRONS WERE EMITTED , not electrons with HIGHER kinetic energy .

The only way to do this is use a higher frequency

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4
Q

What and who lead to the idea that electromagnetic radiation was actually PHOTONS = particulate nature rather than continuous wave

A

Planck
Discovered the energy of the EM waves could only come in distinct quanta
- as a result he said em waves had particulate nature being TINY PACKETS of energy rather than a continuous stream of waves
- einstein called this photons

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5
Q

What was the relationship between energy of a photon and the frequency of the wave

(Assuming waves are photons for clarity)
What number is does

A

E = Hf , h is Plancks constant

6.63 x 10-34 Js

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6
Q

How else can we rewrite equation and why is this interestingness

A

E = h c / lambda

Interesting because it combines particulate nature of wave being energy of photons and the wave like feature by using wavelentgh in the equation

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7
Q

What is a better unit of energy to use when measuring energy of the waves /photons?

A

Electron volts ,as even the most energetic photon is in the -19

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8
Q

How can we do a simple pag with LEDS to find Plancks constant , but what assumption do we need

What graph?

We don’t need to know how it happens

A

Assumption is that all the energy in an electron is transferred to all the energy in a photon WHEN AT THE MINIMUM THRESHOLD PD

1) use different known wavelengths in a circuit connected to a power source and voltmeter etc.
2) an LED works by allowing current after a minimum of the threshold

So find the minimum amount of pd needed for light to turn on and use equation Ve = h+/lambda

Plot graph v agains 1/ lambda and multiply gradient etc

Use means

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9
Q

Why do we need to use precisely the threshold pd for this experiment (as you are not using work function equation) and not go higher

A

Not using function equation here, the assumption clearly states that only at the THRESHOLD PD is the energy of an electron transferred is equal to the energy of the photon emitted, that’s why do at threshold

Here plot a graph for better accuracy.

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10
Q

From the gold foil experiment and observations, what of three findings Shows waves to be particle like and why

A

Certain frequency needs to be met

  • if a highly intense but low frequency wave shone the effect not observed
  • yet if a high frequency but low intense wave the effect was observed

== this should not be if waves have wave like properties, as rate of energy transfer (power) is proportional to the intensity, so if more intensity more energy transferred, but clearly this was not the case !!

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11
Q

So what did Einstein do to explain the findings from the experiment sdm what did this model involve

What he suggest about metal electrons and intensity .

A

Einstein then builded kn Plancks work on suggesting waves have particle like features due to coming in discrete PACKETS of energy as photons ,

This was photon model

  • Einstein said that waves were more a stream of photons (packets with energy ) than a CONTINUOUS WAVE
  • He suggested that each electron on metal must have a specific energy needed to escape the metal , and that it could gain this energy exactly from the photon in a ONE TO ONE INTERACTION
  • and since energy is proportional to frequency in e = hf if there was a low frequency, it wouldn’t be able to transfer enough energy to free the electron, NO MATTER HOW INTENSE

If one photon didn’t have enough energy to free an electron, then a million won’t make a difference either . Yet if they crossed the frequency, then a million would cause a million to escape in one to one interactions

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12
Q

How does new photon metal explain the second observation thst when threshold frequency met effect observed is instant ?

A

Einstein said that photons can transfer energy in ine to one interactions, so as soon as frequency met, electrons emitted , ELECTRONS COULDNT ABSORB ENERGY FROM MULTIPLE PHOTONS, so as soon as required frequency = which means reauired energy , electrons would just emit

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13
Q

How did the photon model and Einstein also explain the third observation , that passed threshold frequency increasing intensity increased amount of electrons emitted, not max KE that they had

Define the term he used

A

Einstein’s said different electrons in the position they are on shells in ions will require different amount of energies to escape . HE MADE A CONSTANT = THE WORK FUNCTION , WHICH IS THE MINIMUM AMOUNT IF ENERGY REQUIRED TO FREE ONE ELECTRON.

  • for a given frequency higher than work function you have a given energy. From conservation of energy Einstein worked out that any extra kinetic energy the electron had was the result of the work function first , and then what was left over would be converted to KE.

Thus for a given frequency past the work function, any electron would have a MAXIMUM KE IT COULD HAVE

Finally if increase intensity this would just increase the rate of electrons released, not the max KE they had, the only way to do this was to increase the frequency of the initial radiation

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14
Q

Summary of three observations of golf leaf experiment and how new photon model proves

A

1) a threshold frequency needed to be met for the observed effect to happen
- wave model suggests rate of energy transfer proportional intensity (power= i/a) so inc energy = inc intensity)
- yet low freq high intensity would not work, high freq low intensity would.
- thus wave more a stream of photons , not a continuous wave = where energy transferred is in Knete one interactions
- einstein said electron needed specific energy to be freed, snd as this proportional to frequency, a specific frequency is needed

2) that past threshold frequency, effect is instant
- electrons couldn’t absorb multiple photons and store energy , transfer was in one to one interactions
- thus as soon as frequency was met = energy required met = and effect happened instantly

3) passed threshold frequency , increase intensity lead to more electrons being emitted rather than being emitted with more Ke
- einstein defined the minimum amount of energy needed to free an electron as work function
- transfer was in one to one interactions ,
- for a frequency higher than work function, first energy would be used to free the electron, and by conservation of energy, any left would be used as KE
- thus for a certain frequency snd work function, there is a MAX Ke of electrons
- increasing intensity only increased number, not value of KE, which could only be done by increasing frequency,

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15
Q

Key point mention Esch time about energy Transfer

A

One to one interactions

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16
Q

What is fill einstein equation

A

E= work function + Ke max

17
Q

What does it mean by maximum kinetic energy? Are all gonna hit this?

A

This is because the work function is defined as the MINIMUM amount of energy needed to free an electron, in truth some electrons will be closer to the ion so more energy is needed so to deliberate them, leaving with less kinetic energy

Hit surface electrons = they will have maximum
Hit less = they will have slightly less

18
Q

What happens if you hit surface electrons only with work function

A

This becomes e= work function

- they will deliberate with no Ke

19
Q

What if we plot Ke Max against Hf

What does X AXIS INTERCEPT TELL

How does this graph prove anything before frequency showed no electrons emitted ?

A

Hf = work + Ke max
Y = mx + c
Ke max = Hf - work
Such that y is Ke max, x is frequency , gradient is Planck and intercept = negative work function

2) this tells you the threshold frequency , at threshold frequency the Ke is 0
3) when you increase frequency from 0 , no electrons emitted until threshold shoes

20
Q

In graphs of Ke vs frequency what is ALWAYS THE SAME

A

Gradient as this = to planck

21
Q

Year 13 pag we need to know

A
22
Q

What did de broglie suggest about all matter ? Give example with EM radiation

A

That all matter can exhibit wave and particle like properties

For example EM can be diffracted , but also thought to be stream of photons with specific energy = wave particle duality

23
Q

What is the wave particle duality model

A

A model to show that ALL MATTER (including us) has both wave and particle properties

  • All particles travel through space as waves, but we also particle = both
24
Q

What about electrons? How can we show the, to have wave particle duality ?

A

Particle

  • we already know they are particles due to having a mass and charge,
  • and can be influenced by electric and magnetic fields

Wave
- if electrons could diffract , then they exhibit wave like properties - spreading out like waves and forming interference patterns the same way

25
Q

Why is electron diffraction so hard

How can we do it tho + why (what material)

A

Fir diffraction ti be effective your gal must be comparable to the wavelength , but wavelength of electron insanely small

2) WITH POLYCRYSTALLINE GRAPHITE , which has carbon atoms arranged in layers with the gaps between them being small enough for electrons to diffract and an interference pattern seen

26
Q

How to exactly do edperiemtn

A

1) use electron gun and fire electrons at pollycrdtalline graphite
2) Observe the interference pattern in the other side in the tube = wave

27
Q

How does this experiment also show them existing as both waves and osrticles (3)

A
  • at the start = particle, as they are being accelerated
  • then = wave as they diffract and form an interference pattern
  • finally particle again as they hit the screen with impacts !
28
Q

De broglie equation he discovered when developing this equation

A

Wavelentgh is = h / p

29
Q

Extend de broglie wavelentgh to include kinetic energy ?

What does this relationship show

A

E = 1/2mv2
2E= mv2
2E = m2v2
Now can square root and sub in to equation

The fact that others are constant , wavelentgh indirectly proportional to 1/ kinetic energy square root

30
Q

Why as you increase mass of particles is it harder to observe diffraction patterns?

A

Increase mass = decrease wavelength according to de broglie

Thus smaller wavelentgh required a smaller separation which is too hard so can’t observe that easily for protons neutrons and even humans

31
Q

What gives evidence
EM radiation particles and waves
Electron particles and waves

A

1) EM particle due to photoelectric effect, waves because they can interfere , diffract, refract etc
2) electron particles as they can be deflected by electric and magnetic fields, waves because they can be diffracted

32
Q

How does a lower de broglie wavekentgh change the picture (in say a TEM) due to more voltage (3)

A
  • Here a lower wavelength= more detailed and
  • due to more voltage = speed of electrons increase so also make it more detail
  • also more electrons per second = more BRIGHTER
33
Q

What is de broglie hypothesis LEARN (2)

A
  • Matter has both wave and particle like properties

- with a Valentin being h/ p where p is the momentum of the particle

34
Q

Why else is wave theory not able to explain photo using ideas of gradual accumulation

A

I’d wave was true then the gradual accumulation of energy due to the continuous wave of energy model suggests would’ve caused the effect , but because no matter at what intensity below frequency nothing is seen = shush

35
Q

Explain how photoelectric effect shows radiation has particle like nature

A
  • energy is needed to remove electrons and this supplied by the radiation
  • however if energy is below the threshold the effect is not observed
  • however if it displayed wave like features, no matter what frequency the effect should be absorbed due to a gradual accumulation of energy as waves are continuous sources of energy
  • this didn’t happen tho, which lead to thinking wages were a beam of packets of energy in discrete quanta instead
  • here with each photon one electron was emitted too, and that too instant - showing waves to be like particles
  • increasing the intensity also increases the number of electrons not the energy,
36
Q

New equation relating number of photons , power and intensity

A

Intensity = power / area

And power = energy one electron x number / time

37
Q

In the year 13 photoelectric effect what is happening and when is the work function

A

Light causes electrons to come off plate and accelerate into anode and thus carry a current

But electrons still need to cross the distance and this only happens when there is some Ke

When there is no Ke , the moment at this point the current is 0
But you are also at the work function.

38
Q

What equations in new edperiment

A

You use a battery to stop electrons liberated, and so the voltage used to completely stop times W is = to KEmax of electrons being liberated from surface