The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and t

Question

The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a phonsenstive material. If the work function of material is 5.1 eV, the stopping potential is estimated to be (the energy of the electron in nth state En = - eV)

Accepted Answer

Energy released when electrons in the atom jumps from excited state (n = 3) to ground state (n = 1) is
E = h

= E₃ - E₁ =

=

+ 13.6 = 12.1eV
Therefore, stopping potential
eV₀ = hv - φ₀
= 12.1 - 5.1 [∵ work function φ₀ = 5.1]
V₀ = 7V.

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