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Question

Using Bohr's postulates of the atomic model, derive the expression for radius of nth electron orbit. Hence obtain the expression for Bohr's radius.

Solution
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Centripetal force is provided by the electrostatic force of attraction.
mv2r=e24πεor2

From bohr's second postulate.
Ln=mvnrn=nh2π

Eliminating vn from above equations.
rn=n2h2εoπme2

Bohr's radius is the radius of the innermost orbit. Hence, n=1
r1=h2εoπme2

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