Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (The Bohr radius is represented by `a_(0)`).

Options

A. The total energy of the electron is maximum when it is at a distance `a_0` from the nucleus
B. The magnitude of the potential energy is double that of its kinetic energy on an average
C. The probability density of finding the electron is maximum at the nucleus
D. The electron can be found at a distance 2a, from the nucleus

Answer

A

Explanation

(a) Total energy of electron is minimum in first orbit i.e. at `a_0` adistance from nucleus.
(b) P.E. `= -(KZe^2)/(r)`
K.E. `=1/2 (KZe^2)/r " "` |P.E.| = 2 |K.E.|
(c) `Psi^2` is maximum at nucleus
(d) Electron can be found at any distance from nucleus.
P `implies` Probability function