Question

If an electron is moving in the $n^{\text{th}}$ orbit of the hydrogen atom, then its velocity $v_n$ for the $n^{\text{th}}$ orbit is given as -

• A. $v_n\propto n$
• B. $v_n\propto \frac{1}{n}$
• C. $v_n\propto n^2$
• D. $v_n\propto \frac{1}{n^2}$

Answer 1

The correct option is B $v_n\propto \frac{1}{n}$

We know that,
$v_n=\frac{v_1}{n};v_1=2.2\times {10}^6\text{m/s}$
So,
$v_n\propto \frac{1}{n}$