What will be the wavelength of the radiation emitted when in a hydrogen atom an electron falls from infinity to stationary state 1?

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.

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

                                         

What will be the wavelength of the radiation emitted when in a hydrogen atom an electron falls from infinity to stationary state 1?
          ..(2)

What will be the wavelength of the radiation emitted when in a hydrogen atom an electron falls from infinity to stationary state 1?

Substituting the values in eq. (2), we have  

What will be the wavelength of the radiation emitted when in a hydrogen atom an electron falls from infinity to stationary state 1?
  Energy of incident radiation

   

   

What will be the wavelength of the radiation emitted when in a hydrogen atom an electron falls from infinity to stationary state 1?

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

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