(D) The number of possible emission transitions from an excited state $n$ to the ground state is given by the formula $N_E = \frac{n(n - 1)}{2}$.Here,

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(D) The number of possible emission transitions from an excited state $n$ to the ground state is given by the formula $N_E = \frac{n(n - 1)}{2}$.Here,the electron is in the fourth energy state,so $n = 4$.Substituting the value of $n$ into the formula:$N_E = \frac{4(4 - 1)}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6$.Therefore,there are $6$ possible emission transitions.

Class 12 Physics Atoms Bohr's Model of Hydrogen Atom

Medium

The number of absorption transitions between the first and the fourth energy states of a hydrogen atom is $3$. The number of emission transitions between these states will be

A
$3$
B
$4$
C
$5$
D
$6$

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Bohr's Model of Hydrogen Atom

The period of revolution of an electron in the ground state of a hydrogen atom is $T$. The period of revolution of the electron in the first excited state is

MediumKCET 2018

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The radius of an electron's second stationary orbit in Bohr's atom is $R$. The radius of the $3rd$ orbit will be $.........R$.

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Neglecting the reduced mass effect,which optical transition in the $He^+$ spectrum has the same wavelength as the first Lyman transition of hydrogen ($n = 2$ to $n = 1$)?

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What is the angular momentum of an electron in Bohr's hydrogen atom whose energy is $-3.4 \,eV$?

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An electron in a hydrogen atom makes a transition from $n_1$ to $n_2$. If the time period of the electron in the initial state is eight times that in the final state,then:

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The number of absorption transitions between the first and the fourth energy states of a hydrogen atom is $3$. The number of emission transitions between these states will be

Similar Questions

The period of revolution of an electron in the ground state of a hydrogen atom is $T$. The period of revolution of the electron in the first excited state is

The radius of an electron's second stationary orbit in Bohr's atom is $R$. The radius of the $3rd$ orbit will be $.........R$.

Neglecting the reduced mass effect,which optical transition in the $He^+$ spectrum has the same wavelength as the first Lyman transition of hydrogen ($n = 2$ to $n = 1$)?

What is the angular momentum of an electron in Bohr's hydrogen atom whose energy is $-3.4 \,eV$?

An electron in a hydrogen atom makes a transition from $n_1$ to $n_2$. If the time period of the electron in the initial state is eight times that in the final state,then:

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