Definition the phenomenon of emission of electrons by the metals when they are exposed to light of suitable frequency is called as the photo electric effect and emitted electrons are called as ID: 1031334
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1. Photoelectric effect
2. Photoelectric effectDefinition : the phenomenon of emission of electrons by the metals when they are exposed to light of suitable frequency is called as the photo electric effect and emitted electrons are called as photoelectrons.photoelectric effect, was discovered by Heinrich Hertz in 1887 in the process of his research into electromagnetic radiation.
3. Photoelectric effect
4. Construction: 1)the Hertz experimental set up used for studying the photoelectric effect is shown in above fig. 2) the set up consist of an evacuated glass tube that has a photosensitive metal plate C and another metal plate A as shown. A monochromatic light source emerging from the source S of sufficiently short wavelength enters the glass window W and fall on photosensitive plate C, is called emitter.
5. Working: when a beam of light fall on photosensitive metal plate c which is called emitter. The plate c emits photoelectrons due to photoelectric effect. The photo electrons emitted by plate c will be attracted towards the positive plate A. these electron flows in the eternal circuit to cause an electric current in the circuit.Such a current is known as the photoelectric current and measured by the microammeter connected in the circuit
6. As the magnitude of the potential difference is increased, at some point even the most energetic electrons do not have enough kinetic energy to reach the collector.This potential, called the stopping potential Vs, is determined by increasing the magnitude of the voltage until the ammeter current drops to zero. At this point the maximum kinetic energy Kmax of the electrons as they leave the emitter is just equal to the kinetic energy eVs lost by the electrons in “climbing” the hillKmax = eVsThe minimum quantity of energy needed to remove an electron is called the work function φ of the material
7. Classical theory of photoelectric effectThe maximum kinetic energy of the electrons should be proportional to the intensity of the radiationThe photoelectric effect should occur for light of threshold frequency The first electrons should be emitted in a time interval of the order of seconds after the radiation begins to strike the surface
8. Experimental characteristicsFor a fixed value of the wavelength or frequency of the light source, the maximum kinetic energy of the emitted photoelectrons (determined from the stopping potential) is totally independent of the intensity of the light sourceThe photoelectric effect does not occur at all if the frequency of the light source is below a certain value. This value, which is characteristic of the kind of metal surface used in the experiment, is called the cutoff frequency fc.Above fc, any light source, no matter how weak, will cause the emission of photoelectronsbelow fc, no light source, no matter how strong, will cause the emission of photoelectrons. This experimental result also disagrees with the predictions of the wave theory.The first photoelectrons are emitted virtually instantaneously (within 10−9s) after the light source is turned on
9. Quantum theory of Photo electric effectEinstein photoelectric equationEinstein’s photoelectric function- According to quantum theory, radiation(light) is considered as shower of particles called photons (h υ )When a photon strikes on a metal , its complete energy is transferred to electronEnergy is used to detach the electron (work function) and remaining energy will be K.E Energy of photon absorbed by the atom (h υ ) is 1. Used to detach the electron (W0) and K.E. is given to electronh υ = W0 + K.E.
10. hυ= W0 + (1/ 2)𝑀𝑉2W0= Photoelectric work function= hυ01. If υ < υ0 - Kinetic energy is negative. i.e. No emission 2. If υ = υ0 - Kinetic energy is zero. i.e. Emission just begins3. If υ > υ0 - Kinetic energy is positive. i.e. Emission takes placeEinstein photoelectric equation
11. PhotonThe energy of a photon associated with an electromagnetic wave of frequency f is , E = hfE = hc/λphotons travel at the speed of light, and so they must obey the relativistic relationship p = E/c.p = h/λBecause a photon travels at the speed of light, it must have zero mass. Otherwise its energy and momentum would be infinite. Similarly, a photon’s rest energy E0 = mc2 must also be zero.