Question

Which of the following statement(s) is/are correct about the Bohr model of hydrogen atom?

• A. The acceleration of the electron in the $n=2$ orbit is more than that in the $n=1$ orbit.
• B. The angular momentum of the electron in the $n=2$ orbit is more than that in the $n=1$ orbit.
• C. The kinetic energy of electron in $n=2$ orbit is less than in the $n=1$ orbit.
• D. Potential energy electron in $n=2$ orbit is more than that in the $n=1$ orbit.

Answer 1

Answer: (B), (C)

The correct options are
B The angular momentum of the electron in the $n=2$ orbit is more than that in the $n=1$ orbit.
C The kinetic energy of electron in $n=2$ orbit is less than in the $n=1$ orbit.

Angular momentum is given by $\frac{nh}{2\pi }$
Angular momentum for n=2 $\Rightarrow \frac{h}{\pi }$ > Angular momentum for n=1 $\Rightarrow \frac{h}{2\pi }$
$K.E.=\frac{m{e}^4}{8n^2{ϵ}_o^2{h}^2}$
$K.E.\propto \frac{1}{n^2}$
$\therefore \text{The kinetic energy of electron in n=2 orbit is less than in the n=1 orbit.}$
Both B and C are correct options.