Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect? (Bohr's radius is represented by a0)
- The probability density of finding the electron is maximum at the nucleus
- The total energy of the electron is maximum when it is at a distance a0 from the nucleus
- The electron can be found at a distance 2a0 from the nucleus
- The 1s orbital is spherically symmetrical
Answer
(2) The total energy of the electron is maximum when it is at a distance a0 from the nucleus
Solution
(A) For the 1s orbital, 2 is maximum at the nucleus and decreases with distance. Correct.
(B) The energy of an electron in an orbital is fixed: E1 = -13.6 eV (or -2.18 10-18 J) for the 1s electron of H, whatever its distance from the nucleus. Only the radial probability is maximum at a0 (52.9 pm). Incorrect.
(C) The 1s orbital has no node, so 2 0 at any finite distance; the electron can be found at 2a0. Correct.
(D) As per NCERT, s orbitals are spherically symmetric. Correct.
The incorrect statement is (B).
Answer: (2)