Calculate energy required to excite the hydrogen electron from energy level 1 to 6

1 answer

To calculate the energy required to excite the hydrogen electron from energy level 1 to energy level 6, we can use the formula for the energy of an electron in a hydrogen atom:

E_n = -13.6 eV / n^2

Where E_n is the energy of the electron in electron-volts (eV) when it is in the nth energy level. In this case, we are interested in the energy difference between energy level 6 and energy level 1, so we can calculate the energy difference as follows:

E_6 - E_1 = (-13.6 eV / 6^2) - (-13.6 eV / 1^2)
= (-13.6 eV / 36) - (-13.6 eV)
= -0.3778 eV - (-13.6 eV)
= 13.2222 eV

Therefore, the energy required to excite the hydrogen electron from energy level 1 to 6 is 13.2222 electron-volts (eV).