Q.
Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to the Bohr's model of an atom, the ratio $T_1 : T_2$ is :
A) 9 : 4
B) 1 : 4
C) 4 : 1
D) 4 : 9
Explanation
[Solution] First excited state n = 2, second excited state n = 3; $E \propto 1/n^2$, so $T_1 : T_2 = \frac{1}{4} : \frac{1}{9} = 9 : 4$. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.