Inspired By A JEE 2014 Question

The radiation corresponding to the 212\rightarrow 1 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter an electric field of 105 N/C10^{-5} \text{ N/C} as shown in the figure. If the electrons just change their direction of motion after 1 second, then the work function of the metal is close to which of the following choices?

Details and Assumptions:

  • Take the mass of electron, me=9.1×1031 kgm_{e}=9.1\times 10^{-31}\text{ kg},

  • The charge on electron, e=1.6×1019 Ce=-1.6\times 10^{-19}\text{ C} and 1 eV=1.6×1019 J1\text{ eV}=1.6\times 10^{-19}\text{ J}.

  • The Ionization energy of Hydrogen atom in ground state is 13.6eV13.6 eV


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