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  4. The energy of a hydrogen atom in its ground state is - 13.6 eV. The energy of the level corresponding to the quantum number n = 2 in the hydrogen atom is

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Q. The energy of a hydrogen atom in its ground state is $- 13.6 \,eV$. The energy of the level corresponding to the quantum number $n = 2$ in the hydrogen atom is

AIPMTAIPMT 1996Atoms

Solution:

Energy of hydrogen atom in ground state $=-13.6 \,eV$
and quantum number $(n)=2$.
We know that energy of hydrogen atom
$\left(E_{n}\right)=-\frac{13.6}{n^{2}}=-\frac{13.6}{(2)^{2}}=-3.4 \,e V$