(B) In Bohr's model for a hydrogen atom,the energy levels are given by $E_n = -\frac{13.6 \text{ eV}}{n^2}$. As the electron transitions to a higher l

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$K$ decreases,$P$ and $E$ increase.

(B) In Bohr's model for a hydrogen atom,the energy levels are given by $E_n = -\frac{13.6 \text{ eV}}{n^2}$. As the electron transitions to a higher level ($n$ increases),$E$ increases (becomes less negative).For a hydrogen-like atom,the kinetic energy is $K = -E = \frac{13.6 \text{ eV}}{n^2}$. As $n$ increases,$K$ decreases.The potential energy is $P = 2E = -\frac{27.2 \text{ eV}}{n^2}$. As $n$ increases,the magnitude of $P$ decreases,meaning $P$ becomes less negative,so $P$ increases.Therefore,as the electron moves to a higher energy level,$K$ decreases,while $P$ and $E$ increase.

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

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In Bohr's atomic model of hydrogen,let $K$,$P$ and $E$ be the kinetic energy,potential energy and total energy of the electron,respectively. Choose the correct option when the electron undergoes transitions to a higher level.

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A
All $K$,$P$ and $E$ increase.
B
$K$ decreases,$P$ and $E$ increase.
C
$P$ decreases,$K$ and $E$ increase.
D
$K$ increases,$P$ and $E$ decrease.

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Electron Energy and Electron Energy Levels in Hydrogen Atom

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In Bohr's atomic model of hydrogen,let $K$,$P$ and $E$ be the kinetic energy,potential energy and total energy of the electron,respectively. Choose the correct option when the electron undergoes transitions to a higher level.

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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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