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Explain the photoelectric effect ....

Explain the photoelectric effect .

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Photoelectric effect : J.J Thomson and P . Lenard showed that "when a beam of light of suitable wavelength is allowed to fall on the surface of a metal , the electrons are emitted from the surface of the metal". This phenomenon is called , photoelectric effect.
Explanation of photoelectric effect by Einstein : Einstein (1905) explained photoelectric effect with the help of Planck's quantum theory of radiation.
According to quantum theory of radiation , a photon of light of frequency , `upsilon` is as-sociated with energy equal to `upsilon` . When a photon of light frequency `upsilon(upsilon` is higher than threshold frequency ) falls on a metal some of the energy associated with the photon is consumed to separate the electron from the surface and the remaining energy is imparted to the ejected electron , to given it certain velocity , say equal to v . Due to this velocity , the emitted electron gains kinetic energy to `(1)/(2)mv^(2)` . The proton of energy which is consumed to separate the electron is equal to the binding energy of the electron . This energy is called 'thresh-old energy' or ' work function ' and is equal to the product of h and threshold frequency `(upsilon_(0))` of a photon of radiation falling on the metal surface . Thus this energy is equal to `(hupsilon_(0))` . This above discussion shows that `hupsilon` is equal to the sum of `(1)/(2)mv^(2)` (K.E. of one electron ) and `hupsilon_(0)`
i.e., `hupsilon=hupsilon_(0)+(1)/(2)mv^(2)`
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Knowledge Check

  • The ratio of slopes of K_("max") vs. v and V_0 vs. v curves in the photoelectric effect gives (v= frequency , K_("max") = maximum kinetic energy , V_0 = stopping potential)

    A
    charge of electron
    B
    planck.s constant
    C
    work function
    D
    the ratio of plant.s constant of electronic charge
  • To explain the nature of radiation, James Clark Maxwell in 1864 put forward .Electromagnetic wave theory.. This theory could explain the phenomena of interference and diffraction but could not explain phenomena of black body radiation and photoelectric effect. Also, after the advent of electromagnetic wave theory, Rutherford.s model of atom suffered a serious drawback. To explain the phenomena of black body radiation and photoelectric effect, Max planck in 1900 put forward Planck.s quantum theory. BAsed on this theory, Neils Bohr in 1913 put forward Bohr.s model of atom which could overcome the drawback of Rutherford.s model and also explain the line spectral elements, especially the line spectra of hydrogen and hydrogen-like particles. Kinetic energy of the electron ejected when yellow light of frequency 5.2 xx 10^(14) s^(-1) falls on the surface of potassium metal (threshold frequency = 5 xx 10^(14) s^(-1) ) is

    A
    `1.325 xx 10^(-13) J`
    B
    `1.325 xx 10^(-20)J`
    C
    `1.325 xx 10^(-27) J`
    D
    `1.325 xx 10^(-34) J`
  • To explain the nature of radiations, James Clark Maxwell in 1864 put forward .Electromagnetic wave theory.. This theory could explain the phenomena of interference and diffraction but could not explain phenomena of black body radiation and photoelectric effect. Also, after the advent of electromagnetic wave theory, Rutherford.s model of atom suffered a serious drawback. To explain the phenomena of black body radiation and photoelectric effect, Max planck in 1900 put forward Planck.s quantum theory. Based on this theory, Neils Bohr in 1913 put forward Bohr.s model of atom which could overcome the drawback of Rutherford.s model and also explain the line spectra of elements, especially the line spectra of hydrogen and hydrogen-like particles. Kinetic energy of the electron ejected when yellow light of frequency 5.2 xx 10^(14) s^(-1) falls on the surface of potassium metal (threshold frequency = 5 xx 10^(14) s^(-1) ) is

    A
    `1.325xx10^(-13)` J
    B
    `1.325xx10^(-20)` J
    C
    `1.325xx10^(-20)` J
    D
    `1.325xx10^(-34) J`
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