Which of the following about an electron occupying the 1s-orbital in a hydrogen atom are correct (The Bohr radius is represented by $a_{0}$ )

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

The magnitude of the potential energy is double that of its kinetic energy on an Average.

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 $a_{0}$ from the nucleus.

answer is A, B, C.

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Detailed Solution

Statement (d) is incorrect. For 1s-orbital radial probability density $(R^{2})$ against r give as: For 1s-orbital, probability density decreases sharply as we move away from the nucleus. The radial distribution curves obtained by plotting radial probability functions Vs r for 1st orbital is The graph initially increases and then decreases. It reaches a maximum at a distance very close to the nucleus and then decreases. The maximum in the curve corresponds to the distance at which the probability of finding the electron is maximum.

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