# The ground state energy of hydrogen atom is 13.6 eV. The energy of second excited state of $He^{+}$ ion in eV is:Option 1)-54.4Option 2)-3.4Option 3)-27.2Option 4)-6.04

Total energy of elctron in nth orbit -

$E_{n}= -13.6\: \frac{z^{2}}{n^{2}}eV$

Where z is atomic number

-

As we have learned in energy of atom

$\left ( E \right )_{n^{th}} = \left ( E_{GND} \right )_{H} . \frac{Z^{2}}{h^{2}}$

$E_{3^{rd}} (H_{C^{+}}) = (-13.6 eV) . \frac{2^{2}}{3^{2}} = -6.04 eV$

Option 1)

-54.4

Option 2)

-3.4

Option 3)

-27.2

Option 4)

-6.04

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