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DUAL NATURE OF RADIATION AND MATTER���BY�HAREESH KUMAR VK�PGT PHYSICS� JNV BIDAR

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ELECTRON EMISSION

THERMIONIC EMISSION:

FIELD EMISSION

PHOTO-ELECTRIC EMISSION

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HERTZ’S OBSERVATIONS

High voltage sparks across the detector loop were enhanced when the emitter plate was illuminated by ultraviolet light

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HALLWACHS’ AND LENARD’S OBSERVATIONS

Lenard observed that when ultraviolet radiations were allowed to fall on the emitter plate of an evacuated glass tube enclosing two electrodes , current flows in the circuit . As soon as the ultraviolet radiations were stopped, the current flow also stopped

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Hallwachs, observed that the negatively charged zinc plate lost its charge when it was illuminated by ultraviolet light

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EXPERIMENTAL STUDY OF PHOTOELECTRIC EFFECT

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EFFECT OF INTENSITY OF LIGHT ON PHOTOCURRENT 

Number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation

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EFFECT OF POTENTIAL ON PHOTOELECTRIC CURRENT

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The maximum value of the photoelectric current is called saturation current.

The minimum negative (retarding) potential V0 given to the plate A for which the photocurrent stops or becomes zero is called the cut-off or stopping potential.

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Photoelectric current is zero when the stopping potential is sufficient to repel even the most energetic photoelectrons, with the maximum kinetic energy

Kmax = e V0

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For a given frequency of the incident radiation, the stopping potential is independent of its intensity

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EFFECT OF FREQUENCY OF INCIDENT RADIATION ON STOPPING POTENTIAL

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PHOTOELECTRIC EFFECT AND WAVE THEORY OF LIGHT

The wave picture is unable to explain the most basic features of photoelectric emission.

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EINSTEIN’S PHOTOELECTRIC EQUATION

Radiation energy is built up of discrete units – the so called quanta of energy of radiation. Each quantum of radiant energy has energy hν

Kmax = hν – φ0

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Photoelectric emission is possible only if h ν > φ0

This is an important result. It predicts that the V0 versus ν curve is astraight line with slope = (h/e),

 

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PARTICLE NATURE OF LIGHT: THE PHOTON

(i) In interaction of radiation with matter, radiation behaves as if it is made up of particles called photons.

(ii) Each photon has energy E (=) and momentum p (= h ν/c), and speed c.

(iii) All photons of light of a particular frequency ν, or wavelength ν, have the same energy E and momentum p , whatever the intensity of radiation may be.

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  • (iv) Photons are electrically neutral and are not deflected by electric and magnetic fields.
  • (v) In a photon-particle collision the total energy and total momentum are conserved. However, the number
  • of photons may not be conserved in a collision.

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WAVE NATURE OF MATTER

De Broglie proposed that the wave length λ associated with a particle of momentum p is given as

λ =h/p = h/mv

known as the de Broglie relation and the wavelength λ of the matter wave is called de Broglie wavelength

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WAVE LENGTH OF THE ELECTRON

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HEISENBERG’S UNCERTAINTY PRINCIPLE.

According to the principle, it is not possible to measure both the position and momentum of an electron (or any other particle) at the same time exactly.

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DAVISSON AND GERMER EXPERIMENT

The wave nature of electrons was first experimentally verified by C.J. Davisson and L.H. Germer

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The de Broglie wavelength λ associated with electrons for V = 54 V is given by

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Thus, there is an excellent agreement between the theoretical value and the experimentally obtained value of de Broglie wavelength. Davisson- Germer experiment thus strikingly confirms the wave nature of electrons and the de Broglie relation

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wave properties of electrons have been utilised in the design of electron microscope