Question

The excitation potential of the hydrogen atom for its second orbit is

Answer 1

Excitation Potential : It is potential by which electron is accelerated from rest so that it can make transition from ground state to excitation state .

Here, Electron of Hydrogen Atom is excited from Ground state (n=1) to first excited state(n=2) .

Potential of Hydrogen atom in nth state is given by :

$E_n=-13.6 * \frac{1}{n^{2}}$

Then,

$E_{1\to2}=E_2 -E_1 \\ => 13.6 *(\frac{1}{1^{2}}-\frac{1}{2^2}) \\ => 10.2V$

Hence, Excitation Potential of Hydrogen Orbit from ground state to First excitation state is 10.2V.