Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

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:

Options:

C and D only

B and D only

A, B and C only

B and C only

Correct Answer:

B and C only

Explanation:

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.