Atoms And Nuclei Question 273

Question: In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If a0 is the radius of the ground state orbit, m is he mass, e is the charge on the electron and ε0 is the vacuum permittivity, the speed of the electron is

Options:

A) 0

B) eε0a0m

C) e4πε0a0m

D) 4πε0a0me

Show Answer

Answer:

Correct Answer: C

Solution:

  • Centripetal force = Colombian force mv2a0=14πε0.e×ea02
    v2=e24πε0.a0.mv=e4πε0.a0.m


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