If the ionization energy for the hydrogen atom is 13.6 eV , the energy required to excite it from the ground state to the next higher state is nearly

Options

A. 3.4 eV
B. 10.2 eV
C. 12.1 eV
D. 1.5 eV

Answer

B

Explanation

The ionisation energy for H-atom is 13.6 eV
Ground state , `E_1`=-13.6 eV
`E_2=(-13.6eV)/(2)^2 `=-3.4 eV
`DeltaE=E_2-E_1` =(-3.4+13.6)eV
`DeltaE`=10.2 eV