Q.
For an electron in a hydrogen atom, the wave function $\Psi$ is proportional to $\exp^{- t/a_{0}}\ ,$ where $a_{0}$ is the Bohr’s radius. What is the ratio of the probability of finding the electron at the nucleus to the probability of finding it at $a_{0}?$
A) $e$
B) $e^{2}$
C) $\frac{1}{e^{2}}$
D) Zero
Explanation
(d)
Higher values of $\Psi^{2}$ means greater probability for finding electron and a zero value of${\ \Psi}^{2}$ means the probability for finding the electron is zero (at nucleus)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.