NEET-XII-Physics
11: Dual Nature Of Radiation And Matter
- #1Find 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-amaximum frequency, andAns : 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-bminimum 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.