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NEET-XII-Physics

11: Dual Nature Of Radiation And Matter

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Qstn# 12-a Prvs-QstnNext-Qstn
  • #12-a
    momentum, and
    (b) de Broglie wavelength of the electrons accelerated through a potential difference of 56 V.
    Ans : At equilibrium, the kinetic energy of each electron is equal to the accelerating potential, i.e., we can write the relation for velocity (v) of each electron as:



    The momentum of each accelerated electron is given as:

    p = mv

    = 9.1 × 10-31 × 4.44 × 106

    = 4.04 × 10-24 kg m s-1

    Therefore, the momentum of each electron is 4.04 × 10-24 kg m s-1.
    (b) De Broglie wavelength of an electron accelerating through a potential V, is given by the relation:





    Therefore, the de Broglie wavelength of each electron is 0.1639 nm.
  • #12-b
    de Broglie wavelength of the electrons accelerated through a potential difference of 56 V.
    Ans : De Broglie wavelength of an electron accelerating through a potential V, is given by the relation:





    Therefore, the de Broglie wavelength of each electron is 0.1639 nm.