Which one of the following about an electron occupying the orbital in a hydrogen atom is incorrect? (Bohr’s radius is represented by ) [2025]

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Q.
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 $a_{0}$ ) [2025]

Solution

Q.
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 $a_{0}$ ) [2025]

1 The probability density of finding the electron is maximum at the nucleus.

2 The electron can be found at a distance $2 a_{0}$ from the nucleus.

3 The $1 s$ orbital is spherically symmetrical.

4 The total energy of the electron is maximum when it is at a distance $a_{0}$ from the nucleus.

Ans.
(4)

$| ψ |^{2} \to max at r = 0 (nucleus)$

$| ψ |^{2} \neq 0 at any point$

$E = - 13.6 \frac{Z^{2}}{n^{2}}, E_{max} = 0 at n = \infty$

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Solution

Q. 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) [2025]

1 The probability density of finding the electron is maximum at the nucleus.

2 The electron can be found at a distance 2a0 from the nucleus.

3 The 1s orbital is spherically symmetrical.

4 The total energy of the electron is maximum when it is at a distance a0 from the nucleus.

Ans. (4) |ψ|2 → max at r=0 (nucleus) |ψ|2≠0 at any point E=-13.6 Z2n2, Emax=0 at n=∞

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Q.
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 $a_{0}$ ) [2025]

2 The electron can be found at a distance $2 a_{0}$ from the nucleus.

3 The $1 s$ orbital is spherically symmetrical.

4 The total energy of the electron is maximum when it is at a distance $a_{0}$ from the nucleus.

Ans.
(4)

$| ψ |^{2} \to max at r = 0 (nucleus)$

$| ψ |^{2} \neq 0 at any point$

$E = - 13.6 \frac{Z^{2}}{n^{2}}, E_{max} = 0 at n = \infty$