Modern Physics
Photoelectric Effect Time Line
Details
Evacuated tube, emitter, collector.
Photosensitive emitter emits electrons when illuminated.
Electrons flow from emitter to collector.
Voltage difference enables electron flow..
Observe current from emitted electrons.
Photo Electric Effect
Stopping Potential: $\phi_0 V_0$
When monochromatic light strikes a photosensitive material, it emits electrons.
The released electrons create an electron current from the photosensitive material.
A voltage difference is maintained to facilitate electron flow from the emitter to the collector.
The experiment measures current produced by electrons striking the collector, confirming the effect.
Kinetic Energy
$e \phi_0=k_{\text {max }}$ of the electrons that are emitted
$k_{\text {max }}$ : Maximum kinetic Energy
Parameters Involved
Intensity of Radiation
Wavelength of Radiation
The material that is used
Energy is being Transferred to the Electron
Intensity is important $\epsilon_0 \vec{E}^2$ in the energy density
Thermionic emission: Temperature
Wavelength is not an important parameter as for as $\phi_0$ is concerned.
Electro Magnetic wave is oscillatory electric field.
Forced oscillations.
Electro Magnetic Wave is Oscillatory Electric Field
Metallic Surfaces
Material Used.$\rightarrow$ Temprature
Material Used.$\rightarrow$ Temperature density of the electrons etc.
Sneak Peak
$\frac{K_{\max }+\phi_0}{V}=C$ ${[C]=M L T^{-1}=[E][t]}$ C is independent of
Material
Frequency
Amplitude (Intensity)
C is a Universal Constant
Correct the Slide
$\frac{K_{max} + e V_0}{\nu}=C$
$V_0 = \phi_0$
${\nu}$ = Frequency
$ C $ = Is a Constant.
Universal Constant
Does not depend on any experimental Condition.
Correct the Expression
$M L^2 ~ T ^{-1} : \text { Energy } \times \text { time. } $
Missing in the Slide
Metals and Work Functions
Work function of elements, in units of electron volt (eV).
$ ~ $
Work function Contd Silver
Polycrystalline Silver
100 : 4.64 eV
110 : 4.52 eV
111 : 4.74 eV
Work Function
Millikan, Einstein, and Planck: The Experiment
University: Millikan Ack: Millikan + Wiki
Early Photoelectric Effect Data
University 2: Millikan Wavelength Independence
Millikan’s Experiments
Conclusions
$\text {Contact E.M.F.} = h/e(\nu_0 - \nu_0^\prime)-(V_0 - V_0^\prime).$
Experimental Results: Zinc
Ack: Wikicommons
Important Points
Intensity - Frequency Interplay
Minimum frequency required for photoemission
Proportional to Intensity beyond the minimum frequency
No emission below the minimum frequency
Linear Relation between the frequency and the stopping potential
Young v/s Millikan
Physics Asks Modest Questions
$ ma = \frac{G M m}{r^2} $
The Mystery of Photoelectric Effect
What carries energy in light?
Maxwell
$U=\varepsilon \vec{E}^2 \Longrightarrow\langle U\rangle=\frac{\varepsilon}{2} \vec{E}_0^2$
$ U_{rad} = \epsilon_0 \vec{E}^2$
$\rightarrow \frac{\epsilon_0}{2} ~\vec{E}_0^2$
$\vec{E} = \vec{E}_0 \cos (\vec{k}. ~\vec{r} - \omega t)$
No frequency dependence
Principle of Conservation of Energy
Minimum Energy required depends on frequency for photo emission
Thank you