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  • The ejection of the photoelectron from the silver metal in the photoelectric effect experiment can be stopped by applying the voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the work function for silver metal.

2.53    The ejection of the photoelectron from the silver metal in the photoelectric effect experiment can be stopped by applying the voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the work function for silver metal.

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Given work function of the metal, W and the Wavelength, \lambda = 256.7\ nm

From the Law of conservation of energy, the energy of an incident photon E is equal to the sum of the work function W of radiation and its kinetic energy K.E i.e.,

The energy of incident radiation

E = \frac{hc}{\lambda} = \frac{(6.626\times10^{-34}Js)(3.0\times10^8)m/s}{256.7\times10^{-9}m}

     = 7.74\times10^{-19} J  Or 

     = \frac{7.74\times10^{-19}J}{1.602\times10^{-19}}eV = 4.83\ eV  

Since the potential applied gives the kinetic energy to the radiation, therefore K.E of the electron = 0.35\ eV

Therefore, Work Function W = 4.83 - 0.35 = 4.48\ eV

Posted by

Divya Prakash Singh

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