Atomic Models

We are given the energy of the nth orbit of the hydrogen atom by the equation: For the second orbit ( ): Thus, the energy of the second orbit is .

The energy of an electron in the -th orbit of a hydrogen atom is given by the formula:
For the third orbit ( ):
Rounding to two decimal places:
To verify, note that the energy in the second orbit ( ) is:
This matches the given value, confirming the formula’s consistency. The energy becomes less negative (higher energy) as the orbit number increases, so the third orbit has a higher energy than the second.
Thus, the energy of the electron in the third orbit is .