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Chemistry Question on Bohr’s Model for Hydrogen Atom

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

Answer

-3.4eV

Explanation

Solution

Energy of hydrogen atom in ground state = - 13.6 eV and quantum number (n) = 2. We know that energy of hydrogen atom (En)=−13.6n2=−13.6(2)2=−3.4eV(E_n)=-\frac{13.6}{n^2}=-\frac{13.6}{(2)^2}=-3.4 eV