(C) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$ or $E_n \propto Z

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(C) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$ or $E_n \propto Z^2$. For $He^{+}$,$Z = 2$ and $n = 1$. $E_{He^+} = k \times (2)^2 = 4k = -871.6 \times 10^{-20} \ J$. For $H$,$Z = 1$ and $n = 1$. $E_H = k \times (1)^2 = k$. Therefore,$E_H = \frac{E_{He^+}}{4} = \frac{-871.6 \times 10^{-20}}{4} \ J = -217.9 \times 10^{-20} \ J$.

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

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The energy of an electron in the first orbit of $He^{+}$ is $-871.6 \times 10^{-20} \ J$. What will be the energy of an electron in the first orbit of hydrogen?

A
$-871.6 \times 10^{-20} \ J$
B
$-435.8 \times 10^{-20} \ J$
C
$-217.9 \times 10^{-20} \ J$
D
$-108.9 \times 10^{-20} \ J$

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Class 11

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Structure of Atom

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Atomic models and Planck's quantum theory

According to classical theory,the proposed circular path of an electron in Rutherford atomic model will be:

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Number of waves made by Bohr's electron in one complete revolution in the $3^{rd}$ orbit.

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In Rutherford's experiment,generally the thin foil of heavy atoms,like gold,platinum etc. have been used to be bombarded by the $\alpha$-particles. If the thin foil of light atoms like Aluminium etc. is used,what difference would be observed from the above results?

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What is the maximum number of emission lines when the excited electron of an $H$ atom in $n=6$ drops to the ground state?

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Which of the following statements is $NOT$ true about Rutherford's atomic model?

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The energy of an electron in the first orbit of $He^{+}$ is $-871.6 \times 10^{-20} \ J$. What will be the energy of an electron in the first orbit of hydrogen?

Similar Questions

According to classical theory,the proposed circular path of an electron in Rutherford atomic model will be:

Number of waves made by Bohr's electron in one complete revolution in the $3^{rd}$ orbit.

In Rutherford's experiment,generally the thin foil of heavy atoms,like gold,platinum etc. have been used to be bombarded by the $\alpha$-particles. If the thin foil of light atoms like Aluminium etc. is used,what difference would be observed from the above results?

What is the maximum number of emission lines when the excited electron of an $H$ atom in $n=6$ drops to the ground state?

Which of the following statements is $NOT$ true about Rutherford's atomic model?

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