A photon of wavelength 4 x 10-7 m strikes on metal surface, the work function of the metal being 2.13 eV. Calculate: (i) the energy of the photon (eV), (ii) the kinetic energy of the emission, and (iii) the velocity of the photoelectron (1 eV = 1.6020 10-19J).
The work function for caesium atom is 1.9 eV. Calculate: (a) the threshold wavelength and (b) the threshold frequency of radiation. If the caesium element is irradiated with a wavelength 500 nm, calculate the kinetic energy and velocity of the ejected photoelectron.
We know
Energy of the incident radiation = Work function + KE of photoelectron
Work function = Energy of the incident
radiation - KE of photoelectron ..(1).
Now energy of the incident radiation (E) = hv
..(2)
Substituting the values in eq. (2), we have
Energy of incident radiation
The potential applied gives the kinetic energy to the electron.
Hence, the kinetic energy of the electron = 4.4 eV.
Substituting the values in eq. (1), we have
Work function = 4.83 eV - 0.35 eV
= 4.48 eV