Atomic StructureHard

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 the mass, e is the charge on the electron and λ0 is the vacuum permittivity, the speed of the electron in first excited state is :-

Options

A.
B.
C.
D.

Solution

In ground state,
v =
∵ v ∝
∴ velocity in first excited state (n = 2)
v2 =

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