JEE PYQ: Atomic Physics Question 4
Question 4 - 2021 (17 Mar Shift 1)
If an electron is moving in the $n^{th}$ orbit of the hydrogen atom, then its velocity $(v_n)$ for the $n^{th}$ orbit is given as:
(1) $v_n \propto n$
(2) $v_n \propto \frac{1}{n}$
(3) $v_n \propto n^2$
(4) $v_n \propto \frac{1}{n^2}$
Show Answer
Answer: (2)
Solution
We know velocity of electron in $n^{th}$ shell of hydrogen atom is given by $v = \frac{2\pi kZe^2}{nh}$. Therefore $v \propto \frac{1}{n}$.