If the electron is at an infinite distance from the nucleus, then its energy will be __________.

infinite

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finite

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zero

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one

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Solution

The correct option is C zero
Total energy of an electron $= E_{0} \times \frac{z^{2}}{n^{2}}$
Where $E_{0} =$ energy of electron in in ground state of hydrogen atom at infinite distance, $n ⟶ \infty$
$∴$ Total energy tends to $z e r o$ or we can say that at infinite distance, total energy will be $z e r o .$

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If the electron is at an infinite distance from the nucleus, then its energy will be __________.

The correct option is C zeroTotal energy of an electron=E0×z2n2Where E0= energy of electron in in ground state of hydrogen atom at infinite distance, n⟶∞∴ Total energy tends to zero or we can say that at infinite distance, total energy will be zero.