1.

An electron and a proton are separated by a large distance. The electron starts approaching the proton with energy \( 2 eV \). The proton captures the electron and forms a hydrogen atom in first excited state. The resulting photon is incident on a photosensitive metal of threshold wavelength \( 4600 A \). The maximum KE of the emitted photoelectron is (take, \( h c=12420 eV A \) ).

Answer»

Intial Energy = 2 + 0 = 2 ev

Final energy = \(\frac{13.6\times1}1\)

2 = -13.6 + Ep

Ep = 15.6 ev

ɸ = \(\frac{12420}{4600}\)

ɸ = 2.7

then 

E = hv - ɸ

E = 15.6 - 2.7

E = 12.9 ev



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