The angular momentum of an electron in a given stationary state can be expressed as
Based on this expression an electron can move only in those orbits for which its angular momentum is.
Text Solution
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According to Bohr's postulates:
The angular momentum of an electron in a given stationary state can be expressed as: 

where
mass of electron,
velocity of electron,
radius of Bohr orbit,
Bohr orbit (Integral value)
Thus an electron can move only in those orbits for which its angular momentum is an integral multiple of
that is why only certain fixed orbits are allowed.
This explains the stability of an atom by giving a condition for an allowed orbit.
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