(D) The energy of an electron in the $n$-th orbit is given by $E_n = \frac{-13.6}{n^2} \; eV$.For $n = 3$,$E_3 = \frac{-13.6}{3^2} = \frac{-13.6}{9} \

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(D) The energy of an electron in the $n$-th orbit is given by $E_n = \frac{-13.6}{n^2} \; eV$.For $n = 3$,$E_3 = \frac{-13.6}{3^2} = \frac{-13.6}{9} \approx -1.51 \; eV$.For $n = 2$,$E_2 = \frac{-13.6}{2^2} = \frac{-13.6}{4} = -3.4 \; eV$.The energy of the emitted photon is equal to the difference in energy between the two states:$\Delta E = E_3 - E_2 = -1.51 - (-3.4) = -1.51 + 3.4 = 1.89 \; eV$.Rounding to one decimal place,the energy is approximately $1.9 \; eV$.

Class 12 Physics Atoms Electron Energy and Electron Energy Levels in Hydrogen Atom

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The energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E = \frac{-13.6}{n^2} \; eV$. The energy of a photon emitted when the electron jumps from the $n = 3$ state to the $n = 2$ state of hydrogen is approximately......$eV$.

AIPMT 2004 All AIPMT

A
$1.5$
B
$0.85$
C
$3.4$
D
$1.9$

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Electron Energy and Electron Energy Levels in Hydrogen Atom

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In a hydrogen atom,if the difference in the energy of the electron in $n = 2$ and $n = 3$ orbits is $E,$ the ionization energy of the hydrogen atom is ....... $E$.

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The $1^{st}, 2^{nd},$ and $3^{rd}$ energy levels of an atom are $E, 4E/3,$ and $2E$ respectively. If a wavelength $\lambda$ is emitted during the transition $3 \to 1$,what is the wavelength emitted during the transition $2 \to 1$?

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If the binding energy of the electron in a hydrogen atom is $13.6 \ eV$,the energy required to remove the electron from the first excited state of $Li^{++}$ is.....$eV$.

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In a hydrogen atom,which of the following transitions will emit a photon of the highest frequency?

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The energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E = \frac{-13.6}{n^2} \; eV$. The energy of a photon emitted when the electron jumps from the $n = 3$ state to the $n = 2$ state of hydrogen is approximately......$eV$.

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In hydrogen and hydrogen-like atoms,the ratio of the difference of energies $E_{4n}-E_{2n}$ and $E_{2n}-E_{n}$ varies with its atomic number $Z$ and $n$ as:

In a hydrogen atom,if the difference in the energy of the electron in $n = 2$ and $n = 3$ orbits is $E,$ the ionization energy of the hydrogen atom is ....... $E$.

The $1^{st}, 2^{nd},$ and $3^{rd}$ energy levels of an atom are $E, 4E/3,$ and $2E$ respectively. If a wavelength $\lambda$ is emitted during the transition $3 \to 1$,what is the wavelength emitted during the transition $2 \to 1$?

If the binding energy of the electron in a hydrogen atom is $13.6 \ eV$,the energy required to remove the electron from the first excited state of $Li^{++}$ is.....$eV$.

In a hydrogen atom,which of the following transitions will emit a photon of the highest frequency?

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