The total energy of the electron in a hydrogen atom is -1.51eV
A. Its Kinetic energy is -1.51eV
B. Its potential energy is -3.02eV
C. electron is in second excited stated
D. The ground state energy of hydrogen atom is 13.6 eV
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → B and C only
(B) Since the total energy E is $-1.51eV$ and the $KE=-\frac{U}{2}$,
$E=K+U=-\frac{U}{2}+U=\frac{U}{2}$
$⇒U=2E=-3.02eV$
(C) The total energy for a hydrogen atom is -
$E=-\frac{13.6}{n^2}eV$
$⇒n^2=\frac{13.6}{1.51}≃9⇒n=3$
Hence, the electron is in second excited state.