Question

If $0.53\stackrel{\circ }{A}$ is the Bohr's radius for the $1^{st}$ orbit of hydrogen atom, the correct statement (s) among the following is/are :

• A. The product of ${\Psi }^2$ and $4\pi r^2$ increases till it reaches at the distance of $0.53\stackrel{\circ }{A}$
• B. ${\Psi }^2$ goes on increasing till it reaches at the distance of $0.53\stackrel{\circ }{A}$
• C. $\Psi$ goes on increasing till it reaches at the distance of $0.53\stackrel{\circ }{A}$
• D. The nodal point for the 1s orbital is at $0.53\stackrel{\circ }{A}$

Answer 1

The correct option is A The product of ${\Psi }^2$ and $4\pi r^2$ increases till it reaches at the distance of $0.53\stackrel{\circ }{A}$

(A) The product of ${\Psi }^2$ and $4\pi r^2$ vs r gives the radial probability and it is maximum at $0.53\stackrel{\circ }{A}$
Option (B) and (C) Both ${\Psi }^2$ and $\Psi$ is maximum at the nucleus and decreases from the nucleus with increase in r.
(D) There are no nodes for 1s orbital. At $0.53\stackrel{\circ }{A}$ the probability of finding the electron is maximum.