Atoms - Result Question 36

38. 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 the mass, e is the charge on the electron and ε0 is the vacuum permittivity, the speed of the electron is

[1998]

(a) 0

(b) eε0a0m

(c) e4πε0a0m

(d) 4πε0a0me

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Answer:

Correct Answer: 38. (c)

Solution:

(c) Centripetal force = Coulombian force

mv2a0=14πε0e×ea02

v2=e24πε0a0mv=e4πε0a0m



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