(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -\frac{13.6}{n^2} \text{ eV}$.As the value of $

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electron energy increases as $n$ increases

(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -\frac{13.6}{n^2} \text{ eV}$.As the value of $n$ increases,the denominator $n^2$ increases,which makes the magnitude of the fraction $\frac{13.6}{n^2}$ smaller.Since the energy is negative,a smaller magnitude means the value becomes less negative (i.e.,it increases towards zero).Therefore,the electron energy increases as $n$ increases.

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

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If $n$ is the orbit number of the electron in a hydrogen atom,the correct statement among the following is

KCET 2012 All KCET

A
electron energy varies as $n^{2}$
B
electron energy increases as $n$ increases
C
hydrogen emits infrared rays for the electron transition from $n=\infty$ to $n=1$
D
electron energy is zero for $n=1$

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Electron Energy and Electron Energy Levels in Hydrogen Atom

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

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In the following transitions of a hydrogen atom,which one corresponds to the highest frequency of emitted radiation?

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The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the $5^{\text{th}}$ excited state of a hydrogen atom 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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$A$ $12.5 \ eV$ electron beam is used to bombard gaseous hydrogen at room temperature. It will emit:

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If $n$ is the orbit number of the electron in a hydrogen atom,the correct statement among the following is

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

In the following transitions of a hydrogen atom,which one corresponds to the highest frequency of emitted radiation?

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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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