(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -13.6 / n^2 \, eV$.For the ground state $(n=1)$

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(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -13.6 / n^2 \, eV$.For the ground state $(n=1)$,$E_1 = -13.6 / 1^2 = -13.6 \, eV$.For the first excited state $(n=2)$,$E_2 = -13.6 / 2^2 = -13.6 / 4 = -3.4 \, eV$.The energy required for excitation is $\Delta E = E_2 - E_1 = -3.4 - (-13.6) = 10.2 \, eV$.

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

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The ionization energy of a $H$ atom is $13.6 \, eV$. The energy required to excite the electron from the ground state $(n=1)$ to the first excited state $(n=2)$ is ... $eV$.

A
$3.4$
B
$10.2$
C
$12.1$
D
$1.5$

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Class 11

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Structure of Atom

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Atomic models and Planck's quantum theory

Explain the hydrogen spectrum using Bohr's model.

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According to the Bohr theory,which of the following transitions in the hydrogen atom will give rise to the least energetic photon?

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If the ionization energy of a hydrogen atom is $E$,then the ionization energy of $Li^{2+}$ will be ............ $E$.

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Bohr’s atomic theory gave the idea of :

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In which one of the following pairs of experimental observations and phenomena does the experimental observation correctly account for the phenomenon?

MediumAIIMS 1983

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The ionization energy of a $H$ atom is $13.6 \, eV$. The energy required to excite the electron from the ground state $(n=1)$ to the first excited state $(n=2)$ is ... $eV$.

Similar Questions

Explain the hydrogen spectrum using Bohr's model.

According to the Bohr theory,which of the following transitions in the hydrogen atom will give rise to the least energetic photon?

If the ionization energy of a hydrogen atom is $E$,then the ionization energy of $Li^{2+}$ will be ............ $E$.

Bohr’s atomic theory gave the idea of :

In which one of the following pairs of experimental observations and phenomena does the experimental observation correctly account for the phenomenon?

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