Question

According to Bohr's theory of the hydrogen atom, the speed $v_{n}$ of the electron in a stable orbit is related to the principal quantum number $n$ as ( $C$ is a constant) :

• A. $v_{n}= C/ n^{2}$
• B. $v_{n}=C / n$
• C. $v_{n}=C \times n$
• D. $v_{n}=C \times n^{2}$

Answer 1

Answer: (B)

In Bohr's model the speed of the electron in $n^{\text {th }}$ orbit is given as
$v_{n}=\frac{2 \pi K e^{2}}{h} \times \frac{Z}{n}$