Atomic Physics Question 8

Question 8 - 2024 (30 Jan Shift 1)

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the $5^{\text {th }}$ excited state of a hydrogen atom is :

(1) 4

(2) $\frac{1}{4}$

(3) $\frac{1}{2}$

(4) 1

Show Answer

Answer: (3)

Solution:

$\frac{1}{2}|P E|=K E$ for each value of $n$ (orbit)

$\therefore \frac{K E}{|P E|}=\frac{1}{2}$