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  4. The period of revolution of an electron revolving in nth orbit of H-atom is proportional to

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Q. The period of revolution of an electron revolving in $n^{th}$ orbit of $H$-atom is proportional to

KCETKCET 2020Atoms

Solution:

As we know that time period of revolution of an electron is
$T =2 \pi r / v$,
And $r \propto n^{2} / Z^{2}$ and $v \propto Z / n$
$\therefore T \propto n ^{3} / Z ^{2}$ and for $H$ -atom
$Z =1, T \propto n ^{3}$