(C) The binding energy of a hydrogen-like species is given by the formula $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$. For a hydrogen atom,$Z = 1$ and $

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(C) The binding energy of a hydrogen-like species is given by the formula $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$. For a hydrogen atom,$Z = 1$ and $n = 1$,so $E_H = 13.6 \ eV$. For a singly ionized helium atom $(He^+)$,$Z = 2$ and $n = 1$. Therefore,$E_{He^+} = 13.6 \times \frac{2^2}{1^2} \ eV$. $E_{He^+} = 13.6 \times 4 \ eV = 54.4 \ eV$.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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Binding energy of a hydrogen atom is $13.6 \ eV$. The binding energy of a singly ionized helium atom is : ............ $eV$

A
$13.6$
B
$27.2$
C
$54.4$
D
$3.4$

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Class 11 Questions

Class 11

Chemistry Questions

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Structure of Atom

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Atomic models and Planck's quantum theory

Which of the following represents the velocity of an electron in a hydrogen-like atom?

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For a hydrogen-like species,the ratio of velocities of electrons in the $I, II,$ and $III$ orbits,i.e.,$V_1 : V_2 : V_3$,will be:

Medium

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The electrostatic force of attraction between the electron and the nucleus in a hydrogen atom is given by:

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Which of the following electronic transitions in a hydrogen atom results in the emission of a spectral line with the shortest wavelength?

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Which statement relating to the spectrum of $H$ atom is false:

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Binding energy of a hydrogen atom is $13.6 \ eV$. The binding energy of a singly ionized helium atom is : ............ $eV$

Similar Questions

Which of the following represents the velocity of an electron in a hydrogen-like atom?

For a hydrogen-like species,the ratio of velocities of electrons in the $I, II,$ and $III$ orbits,i.e.,$V_1 : V_2 : V_3$,will be:

The electrostatic force of attraction between the electron and the nucleus in a hydrogen atom is given by:

Which of the following electronic transitions in a hydrogen atom results in the emission of a spectral line with the shortest wavelength?

Which statement relating to the spectrum of $H$ atom is false:

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