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Dual Nature Of Radiation And Matter

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1

Energy and momentum of photoelectrons

Energy:

Momentum:


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3

Einstein's photoelectric equation

Einstein's photoelectric equation :

The kinetic energy of the photoelectron coming out may be anything between zero and where is the energy supplied to the individual electrons.


4

Stopping potential

The smallest magnitude of the anode potential which just stops the photocurrent is called the stopping potential.
This potential should stop even the ost energitic photoelectron. Hence 
Tha value of maximum kinetic energy should be equal to
We know
5

De-broglie wavelength

De Broglie's wavelength is the wavelength associated with a massive particle,hypothesized by De Broglie that explains Bohr's quantised orbits by bringing in the wave-particle duality.  It is written as
(de broglie wavelength)

6

Davisson and Germer experiment

Davison and Germer observed the diffraction of electrons by crystals. The setup consists of an electron gun firing electron beam onto a nickel target inside a vaccum chamber. The diffracted electrons are observed by the galvanometer.The experiment was performed by varying the voltage from 44V to 68V. It was observed that a strong peak appeared when the voltage was 54V at a scattering angle of due to constructive interference effects of the electrons. The wavelength of the matter waves was found to be 0.168 nm from diffraction measurements which matches that of de-Broglie wavelength at 54 V thus verifying the wave nature of electrons.