(D) For the transition $3 \to 1$,the energy difference is $\Delta E_{31} = 2E - E = E = \frac{hc}{\lambda} \implies E = \frac{hc}{\lambda} \dots (i)$F

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(D) For the transition $3 \to 1$,the energy difference is $\Delta E_{31} = 2E - E = E = \frac{hc}{\lambda} \implies E = \frac{hc}{\lambda} \dots (i)$For the transition $2 \to 1$,the energy difference is $\Delta E_{21} = \frac{4E}{3} - E = \frac{E}{3} = \frac{hc}{\lambda'}$Substituting the value of $E$ from equation $(i)$: $\frac{1}{3} \left( \frac{hc}{\lambda} \right) = \frac{hc}{\lambda'}$Therefore,$\lambda' = 3\lambda$.

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

Medium

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 $2 \to 1$?

A
$\lambda/3$
B
$4\lambda/3$
C
$3\lambda/4$
D
$3\lambda$

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Electron Energy and Electron Energy Levels in Hydrogen Atom

In a hydrogen atom,the electron is in the $n^{th}$ excited state. It may come down to the second excited state by emitting ten different wavelengths. What is the value of $n$?

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In the hydrogen atom spectrum, let $E_1$ and $E_2$ be the energies for the transitions $n=2 \rightarrow n=1$ and $n=3 \rightarrow n=2$ respectively. The ratio $E_2 / E_1$ is

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The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with maximum wavelength?

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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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In a hydrogen atom,the electron is in the $n^{th}$ excited state. It may come down to the second excited state by emitting ten different wavelengths. What is the value of $n$?

The first excited state of a hydrogen atom is $10.2 \, eV$ above its ground state. The temperature needed to excite hydrogen atoms to the first excited level is

In the hydrogen atom spectrum, let $E_1$ and $E_2$ be the energies for the transitions $n=2 \rightarrow n=1$ and $n=3 \rightarrow n=2$ respectively. The ratio $E_2 / E_1$ is

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