NEET-XII-Physics

11: Dual Nature Of Radiation And Matter

  • #1
    Find the
    (a) maximum frequency, and
    (b) minimum wavelength of X-rays produced by 30 kV electrons.
    (a) maximum frequency, and
    (b) minimum wavelength of X-rays produced by 30 kV electrons.
    Ans : Potential of the electrons, V = 30 kV = 3 × 104 V

    Hence, energy of the electrons, E = 3 × 104 eV

    Where,

    e = Charge on an electron = 1.6 × 10-19 C
    (a) Maximum frequency produced by the X-rays = ν

    The energy of the electrons is given by the relation:

    E = hν

    Where,

    h = Planck’s constant = 6.626 × 10-34 Js



    Hence, the maximum frequency of X-rays produced is
    (b) The minimum wavelength produced by the X-rays is given as:



    Hence, the minimum wavelength of X-rays produced is 0.0414 nm.
    (a) Maximum frequency produced by the X-rays = ν

    The energy of the electrons is given by the relation:

    E = hν

    Where,

    h = Planck’s constant = 6.626 × 10-34 Js



    Hence, the maximum frequency of X-rays produced is
    (b) The minimum wavelength produced by the X-rays is given as:



    Hence, the minimum wavelength of X-rays produced is 0.0414 nm.
  • #1-a
    maximum frequency, and
    Ans : Maximum frequency produced by the X-rays = ν

    The energy of the electrons is given by the relation:

    E = hν

    Where,

    h = Planck’s constant = 6.626 × 10-34 Js



    Hence, the maximum frequency of X-rays produced is
  • #1-b
    minimum wavelength of X-rays produced by 30 kV electrons.
    Ans : The minimum wavelength produced by the X-rays is given as:



    Hence, the minimum wavelength of X-rays produced is 0.0414 nm.