Quiz
Wave-Particle Duality
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Questions in this quiz (11)
1Wave-Particle Duality Theory:
- De Broglie said that if light, which is considered as a [blank_start]wave[blank_end], can show [blank_start]particle[blank_end] properties (photons); then things which are usually considered as [blank_start]particles[blank_end] such as [blank_start]electrons[blank_end], could be expected to show [blank_start]wave[blank_end]-[blank_start]like[blank_end] properties.
- He came up with an equation which relates a [blank_start]wave[blank_end] property (wavelength, λ) to a moving [blank_start]particle[blank_end] property (momentum, p).
λ = [blank_start]h[blank_end] / [blank_start]p[blank_end] = h / mv
- The de Broglie wave of a particle can be interpreted as a "probability wave" - the likelihood of finding a particle at a p[blank_start]oint[blank_end] is directly [blank_start]proportional[blank_end] to the square of the [blank_start]amplitude[blank_end] of the wave at that point.
- His ideas were just s[blank_start]peculation[blank_end] to start with until later experiments c[blank_start]onfirmed[blank_end] the wave nature of electrons.- Awave
- Bparticle
- Cparticles
- Delectrons
- Ewave
- Flike
- Gwave
- Hparticle
- Ih
- Jp
- Kproportional
- Lamplitude
- Mpeculation
- Nonfirmed
- Ooint
2Electron Diffraction:
- Electron diffraction is proof of the [blank_start]wave[blank_end] nature of electrons.
- A high speed beam of electrons is generated by [blank_start]thermionic[blank_end] emission, followed by [blank_start]acceleration[blank_end] of the electrons using a cathode and anode with a [blank_start]high pd[blank_end] between them. A very [blank_start]thin[blank_end] piece of foil or some polycrystalline [blank_start]graphite[blank_end] is put in the path of the electrons. On the other side of the foil/graphite is a [blank_start]phosphorescent[blank_end] screen. Phosphor emits [blank_start]visible[blank_end] light when it is struck by electrons (i.e. phosphor atoms [blank_start]excited[blank_end] by incident electrons) so that the pattern of electrons can be seen.
- [blank_start]Diffraction[blank_end] patterns are observed when accelerated electrons in the [blank_start]vacuum[blank_end] tube [blank_start]interact[blank_end] with the [blank_start]spaces[blank_end] between atoms in the [blank_start]foil[blank_end] or graphite. The patterns observed are [blank_start]very similar[blank_end] to those seen when high frequency EM radiation such as X-rays are shone through a thin piece of foil thus [blank_start]confirming[blank_end] that electrons show wave-like properties.
- For maximum electron diffraction, de Broglie wavelength of electrons [blank_start]approximately equals[blank_end] the space between atoms in the foil/graphite.
- In general, λ (de Broglie wavelength) for electrons accelerated in a vacuum tube is about the [blank_start]same size[blank_end] as electromagnetic waves in the [blank_start]X-ray[blank_end] part of the spectrum.
- Awave
- Bparticle
- Cthermionic
- Dacceleration
- Ehigh pd
- Fthin
- Gphosphorescent
- Hvisible
- Iexcited
- JDiffraction
- Kvacuum
- Linteract
- Mspaces
- Nfoil
- Oconfirming
- Pvery similar
- Qvery different
- Rapproximately equals
- Sgraphite
- Tsame size
- UX-ray
- Vgamma
- WUV
3Changing Electron Diffraction Patterns:
- According to [blank_start]wave theory[blank_end], the spread of the lines in the diffraction pattern increases if the wavelength of the wave is [blank_start]greater[blank_end].
- Decreasing the accelerating voltage [blank_start]slows down[blank_end] the electrons. As λ = h / mv, if you decrease v where h and m are constant then you increase λ. Therefore you get [blank_start]widely spaced[blank_end] rings for smaller accelerating voltages and slower electrons.
- Similarly if you use protons instead of electrons the rings will be [blank_start]closer together[blank_end] because m will be bigger (where h and v are constant) so λ will be [blank_start]smaller[blank_end] and there will be [blank_start]less[blank_end] diffraction thus resulting in the rings being closer together.
- If the electron speed is [blank_start]increased[blank_end], the diffraction pattern circles squash together towards the middle as the de Broglie wavelength is [blank_start]reduced[blank_end] by the increased momentum.
- Awave theory
- Bparticle theory
- Cgreater
- Dsmaller
- Eslows down
- Fspeeds up
- Gwidely spaced
- Hclose together
- Icloser together
- Jfurther apart
- Ksmaller
- Lbigger
- Mless
- Nmore
- Oincreased
- Pdecreased
- Qreduced
- Rincreased
4Particles Don't Show Wave-Like Properties All the Time:
- You only get diffraction if a particle interacts with an object of about the [blank_start]same[blank_end] size as its de Broglie [blank_start]wavelength[blank_end]. E.g. a 0.058kg tennis ball travelling at 100 ms^-1 has a de Broglie wavelength of 10^-34 m. There is nothing this small for it to [blank_start]interact[blank_end] with so it [blank_start]can't[blank_end] be diffracted.
- Electrons with a wavelength of around 1 x 10^-10 are likely to be diffracted by the a[blank_start]toms[blank_end] in polycrystalline structures.
- A shorter wavelength gives less d[blank_start]iffraction[blank_end] effects. This fact is used in the electron m[blank_start]icroscope[blank_end].
- Diffraction effects b[blank_start]lur[blank_end] detail on an image. If you want tiny detail in an image, you need a [blank_start]shorter[blank_end] wavelength. Light blurs out detail [blank_start]more[blank_end] than "electron-waves" do, so an electron microscope can r[blank_start]esolve[blank_end] finer detail than a light microscope.
- Asame
- Bwavelength
- Cinteract
- Dcan't
- Eshorter
- Fmore
- Gesolve
- Htoms
- Iiffraction
- Jicroscope
- Klur
5The de Broglie wavelength of a particle, λ, is interpreted as the equivalent wavelength of a particle.

- ATrue
- BFalse
6Proof of Particle Nature of Electrons:
- The [blank_start]Maltese Cross Experiment[blank_end] shows the [blank_start]particle[blank_end] nature of electrons. The electrons form a [blank_start]crisp[blank_end] shadow. This suggests that the electrons behave as particles because electrons in the path of the Maltese Cross [blank_start]do not[blank_end] get past it resulting in the [blank_start]shadow[blank_end]. If the electrons were behaving as [blank_start]waves[blank_end], the image would be [blank_start]fuzzy[blank_end] not crisp.
- A [blank_start]bar magnet[blank_end] changes the [blank_start]position[blank_end] of the image as the electrons are [blank_start]deflected[blank_end] by the magnetic field. A beam of light [blank_start]cannot[blank_end] be deflected by a magnetic field because [blank_start]photons[blank_end] have no charge. Moving electrons are deflected because they are [blank_start]charged particles[blank_end].
- Any apparatus which includes an [blank_start]electron gun[blank_end] relies on the fact that electrons act like particles because only charged particles can be [blank_start]accelerated[blank_end] by a magnetic field (waves have [blank_start]no charge[blank_end]).
- Any apparatus using a bar magnet to [blank_start]change[blank_end] the position of an image relies on the fact that electrons act like particles because only [blank_start]charged[blank_end] particles can be deflected by a [blank_start]magnetic field[blank_end] (waves have no charge).
- AMaltese Cross Experiment
- Bparticle
- Cwave
- Dcrisp
- Eshadow
- Fdo not
- Gdo
- Hfuzzy
- Iwaves
- Jbar magnet
- Kposition
- Ldeflected
- Mcannot
- Ncan
- Ophotons
- Pcharged particles
- Qelectron gun
- Raccelerated
- Smagnetic field
- Tno charge
- Ucharged
- Vchange
7Evidence for light as a wave:

- ADouble slit experiment (using visible light). Light diffracts from both slits and an interference pattern is observed.
- BThe Photoelectric effect. Light is shone on metal and if it is above the threshold frequency of the metal, electrons will be emitted from the metal.
- CInterference patterns. Light waves demonstrate constructive interference when the phase difference is 0°/360° and destructive interference when the phase difference is 180°.
- DInterference patterns. Light waves demonstrate constructive interference when the phase difference is 180° and destructive interference when the phase difference is 0°/360°.
8Evidence for light as a particle (photons):

- AThe Photoelectric effect. Light is shone on metal and if it is above the threshold frequency of the metal, electrons will be emitted from the metal.
- BInterference patterns. Light waves demonstrate constructive interference when the phase difference is 0°/360° and destructive interference when the phase difference is 180°.
- CMaltese Cross Experiment. Electrons form a crisp shadow due to not getting past the cross. Also, electrons are deflected by a bar magnet due to the fact that magnetic fields affect charged particles.
9What is the evidence for the wave-like behaviour of electrons?

- AMaltese Cross Experiment. Electrons form a crisp shadow due to not getting past the cross. Also, electrons are deflected by a bar magnet due to the fact that magnetic fields affect charged particles.
- BElectron diffraction. Accelerated electrons in a vacuum tube go through a thin piece of foil/graphite and spread out causing a diffraction pattern.
- CThe Photoelectric effect. Light is shone on metal and if it is above the threshold frequency of the metal, electrons will be emitted from the metal.
10What is the evidence for the particle-like behaviour of electrons?

- AElectron diffraction. Accelerated electrons in a vacuum tube go through a thin piece of foil/graphite and spread out causing a diffraction pattern.
- BThe Photoelectric effect. Light is shone on metal and if it is above the threshold frequency of the metal, electrons will be emitted from the metal.
- CThe Maltese Cross Experiment. Electrons form a crisp shadow due to not getting past the cross. Also, electrons are deflected by a bar magnet due to the fact that magnetic fields affect charged particles.
11Wave-Particle Duality:
- M[blank_start]atter[blank_end] is more likely to behave as a wave when it consists of [blank_start]small[blank_end] particles travelling at [blank_start]high[blank_end] speeds. (Speed and size is important when considering the [blank_start]behaviour[blank_end] of matter).
- L[blank_start]ight[blank_end] is more likely to behave as a particle when it has a relatively high f[blank_start]requency[blank_end]. The higher the energy/frequency, the more the light behaves as a [blank_start]particle[blank_end] and the less the light behaves as a [blank_start]wave[blank_end].
- Asmall
- Bhigh
- Cbehaviour
- Dparticle
- Ewave
- Fatter
- Gight
- Hrequency
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- AS - Level Sally's Physics (Waves and Particle Nature of Light) Quiz on Wave-Particle Duality, created by Sally Lancaster on 27/04/2016.
- Author
- Sally Lancaster
- Language
- English
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