Question

Which one of the following about an electron occupying the 1 s orbital in a hydrogen atom is incorrect ? (Bohr's radius is represented by $\mathrm{a}_{0}$ )

• A. The probability density of finding the electron is maximum at the nucleus
• B. The electron can be found at a distance $2 \mathrm{a}_{0}$ from the nucleus
• C. The 1s orbital is spherically symmetrical
• D. The total energy of the electron is maximum when it is at a distance $\mathrm{a}_{0}$ from the nucleus

Hint:

The probability density, distance from the nucleus, spherical symmetry, and total energy of an electron in the 1s orbital are important properties to consider.

Answer 1

The Correct Option is D

1. Probability density: - The probability density of finding the electron is maximum at the nucleus. 
2. Distance from the nucleus: - The electron can be found at a distance $2 \mathrm{a}_{0}$ from the nucleus. 
3. Spherical symmetry: - The 1s orbital is spherically symmetrical. 
4. Total energy: - The total energy of the electron is maximum when it is at a distance $\mathrm{a}_{0}$ from the nucleus. 
This statement is incorrect. Therefore, the correct answer is (4).