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Question : 4
Total: 12
State Bohr's postulate to explain stable orbits in a hydrogen atom. Prove that the speed with which the electron revolves in nth orbit is proportional to (
)
Solution:
Bohr's postulate to explain stable orbits in a hydrogen atom:The stationary orbits are those orbits for which the angular momentum of the electron is an integral multiple of
h
Electron in an atom revolves because of the balance of Coulomb force of attraction between the protons and electrons and the centripetal force.
Inn t h
=
∴ v n =
. . . . ( i )
Again,r n =
. . . ( i i )
Putting in equation (i)
v n =
=
∴ v n ∝
Electron in an atom revolves because of the balance of Coulomb force of attraction between the protons and electrons and the centripetal force.
In
Again,
Putting in equation (i)
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