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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 $v \propto \frac{1}{n}$.


Learning Progress: Step 4 of 66 in this series