Question

The minimum excitation energy of an electron revolving in the first orbit of hydrogen is:

• A. 3.4 eV
• B. 8.5 eV
• C. 10.2 eV
• D. 13.6 eV

Hint:

Excitation energy is the energy required to move an electron from a lower to a higher energy level.

Answer 1

The Correct Option is C

Step 1: Energy Levels in the Hydrogen Atom
The energy of an electron in the \( n^{th} \) orbit is: \[ E_n = \frac{-13.6}{n^2} { eV} \] For \( n = 1 \): \[ E_1 = -13.6 { eV} \] For \( n = 2 \): \[ E_2 = \frac{-13.6}{4} = -3.4 { eV} \] Step 2: Calculating Excitation Energy
\[ E_{{excitation}} = E_2 - E_1 \] \[ = (-3.4) - (-13.6) \] \[ = 10.2 { eV} \] The excitation energy is \( 10.2 \) eV.