Question

Using Bohr’s theory in a one-electron atom. Choose the correct option(s). $(n\to$ principal quantum number, z is number of protons in the nucleus).

• A. Total energy of electron increases with n.
• B. Total energy and potential energy of electrons is negative in all orbits.
• C. Magnitude of angular momentum of electron increases with n.
• D. Linear momentum of electron decreases with z for same n.

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

Total energy of electron increases with n.

B

Total energy and potential energy of electrons is negative in all orbits.

C

Magnitude of angular momentum of electron increases with n.

D

Linear momentum of electron decreases with z for same n.

$T=-13.6\frac{z^2}{n^2}$ T=Total energy
U=2T U =Potential energy
K=-T L=Kinetic energy
As n increase T increases, T and U is negative for all n
$L=mvr=\frac{nh}{2\pi }$
As n increases L increases.
As n increase K decreases hence momentum decreases.