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

Question

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 (A) -0.54eV (B) -3.4eV (C) -2.72eV (D) -0.85eV

Tardigrade Admin · Accepted Answer

Energy of hydrogen atom in ground state =-13.6 eV and quantum number (n)=2. We know that energy of hydrogen atom (En)=-(13.6/n2)=-(13.6/(2)2)=-3.4 e V

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

-0.54eV

-3.4eV

-2.72eV

-0.85eV

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

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