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Question

Chemistry Question on Bohr’s Model for Hydrogen Atom

The minimum energy required to excite H2H_2 atom from its ground state is

A

3.4 eV

B

13.6 eV

C

12.1 eV

D

10.2 eV

Answer

10.2 eV

Explanation

Solution

Energy of hydrogen atom in ground state, E1=13.612=13.6eVE_1 = \frac{-13.6}{1^2} = - 13.6 \, eV
Energy of hydrogen atom in first excited state, E2=13.622=3.4eVE_2 = \frac{-13.6}{2^2} = - 3.4 \, eV
\therefore Minimum energy required = E2E1E_2 - E_1
\hspace50mm = -3.4 eV - (-13.6 eV )
\hspace50mm =+ 10.2eV