Quantum Physics Flashcards
What is a photon?
It is defined as a quantum of electromagnetic energy.
What is the formula for energy on a photon?
E = hf = hc/λ
What is the photoelectric effect?
It refers to the emission of electrons from a metal surface when the surface is irradiated with eelctromagnetic radiation of a high enough frequency.
What is a work function?
Work function is defined as the minimum energy required to eject an electron from the surface of a metal.
What are some of the experimental observations of the photoelectric effect?
- The emission of photoelectrons is almost instantaneous.
- Electrons are emitted when the frequency of light is above the threshold frequency (no electrons are emitted regardless of light intensity below the threshold frequency)
- The maximum KE is independent of the intensity of light but dependent on the frequency of light used.
- The rate at which electrons are ejected and therefore the photocurrent produced is proportional to the intensity of the light
How does the classical theory fail to predict the immediate emission of electrons?
Electrons should absorb energy over a period of time before it gains enough energy to escape the metal
A dim light after some delay would transfer enough energy whereas a very bright light would eject the electrons after a short while.
How does the classical theory fail to predict the existence of a threshold frequency?
Energy of the wave is dependent on the square of its amplitude
Electrons will absorb enough energy to escape in due course.
There should not be any threshold frequency
How does the classical theory fail to predict that the maximum kinetic energy depends on frequency?
The greater the light intensity, the larger the energy of the light wave striking the metal surface. Electrons should be ejected with greater kinetic energy.
How does the classical theory successfully predict the observation that the rate at which electrons are ejected is proportional to the intensity?
Higher intensity of light should be able to simultaneously free more electrons from the metal at any instant which leads to a high current recorded.
How does the Quantum Theory of Light explain the instanteneous emission of photoelectrons?
!! Photon-electron interaction is one-to-one !!
Energy of a single photon cannot be shared nad muist give up all of its energy to the electron.
This absorption then leads to a gain in energy for the electrons
There is no appreciable time delay for the electron to gain sufficient energy
hence photoemission is instantaneous.
How does the Quantum Theory of Light explain the existence of a threshold frequency?
The electron is bounded to the metal and must acquire energy to escape . (i also dk how this explains the existence of a threshold frequency)
energy of photon = work function + max KE of electron
therefore max KE depends on radiation frequency (hf = Φ + 1/2mv^2)
What is the threshold frequency?
It is the lowest frequency that will eject electrons from a particular surface.
How does the Quantum Theory of Light explain the intensity as a measure of number of photons?
The intensity of the monochromatic light beam I is directly proportional to the number of photons passing through a unit cross-sectional area per unit time.
I = (N/t)x(hf/A) = Nhf/tA
Therefore the more intense the light, the larger the photon number per unit time hitting a particular surface.
What is the formula for the work function?
Φ = hf0 (f0 is the threshold frequency)
what is the formula for the de Broglie wavelength?
λ = h/p = h/mv