NEET-XII-Physics

11: Dual Nature Of Radiation And Matter

  • #4-a
    Find the energy and momentum of each photon in the light beam,
    (b) How many photons per second, on the average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and
    (c) How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?
    Ans : The energy of each photon is given as:



    The momentum of each photon is given as:


    (b) Number of photons arriving per second, at a target irradiated by the beam = n

    Assume that the beam has a uniform cross-section that is less than the target area.

    Hence, the equation for power can be written as:


    (c) Momentum of the hydrogen atom is the same as the momentum of the photon,

    Momentum is given as:



    Where,

    v = Speed of the hydrogen atom


  • #4-b
    How many photons per second, on the average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and
    Ans : Number of photons arriving per second, at a target irradiated by the beam = n

    Assume that the beam has a uniform cross-section that is less than the target area.

    Hence, the equation for power can be written as:


  • #4-c
    How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?
    Ans : Momentum of the hydrogen atom is the same as the momentum of the photon,

    Momentum is given as:



    Where,

    v = Speed of the hydrogen atom