Question

For an electron in the second orbit of hydrogen, the angular momentum as per Bohr's model is :

• A. $\frac{h}{\pi }$
• B. $\frac{2h}{\pi }$
• C. $\frac{h}{2\pi }$
• D. $2\pi h$

Answer 1

The correct option is A $\frac{h}{\pi }$

According to Bohr's model, the moment of momentum or angular momentum of an electron in an orbit is quantized. And it is given by the formula-

Momentum$=$$\frac{nh}{2\pi }$, where $n$ is the quantum number which can take integer values, $h$ is the Planck's constant. For an electron in the second orbit of Hydrogen, $n$ equals to $2$. Putting the value of $n$$=$$2$ in the above mentioned formula, we get,-

Angular Momentum$=$$\frac{2h}{2\pi }$, which is equal to $\frac{h}{\pi }$.

Option A is the correct answer.