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A photon of wavelength m strikes on metal surface, the work function of the metal is 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 .

(i)

Energy of the photon

Where, h denotes Planck’s constant, whose value is 

c denotes the speed of light =

= wavelength of the photon =

Substituting these values in the expression for E:

Therefore, energy of the photon =

(ii)

The kinetic energy of the emission E_{k}Ek​ can be calculated as follows:

Therefore, the kinetic energy of the emission = 0.97 eV.

(iii)

The velocity of the photoelectron (v) can be determined using the following expression:

Where  is the K.El of the emission (in Joules) and ‘m’ denotes the mass of the photoelectron.