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  4. The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3 textrd orbit will be

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Q. The radius of electron's second stationary orbit in Bohr's atom is $R$. The radius of $3^\text{rd}$ orbit will be

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Solution:

$ r =0.529 \times \frac{ n ^2}{ z } $
$ r \propto n^2 $
$ R \propto(2)^2 $
$ R_1 \propto(3)^2 $
Divide (1) by (2) $ \frac{ R _1}{ R }=\frac{4}{9} $
$ R _1=\frac{9 R }{4} $
$ R _1=2.25 R $