(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

Obtain the equations for the frequency of radiation and the wave number when an electron makes a transition from a higher energy state to a lower energy state in a hydrogen atom.

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According to de Broglie,if the wavelength of an electron in the second orbit is $10^{-9} \ m$,then the circumference of the orbit is .......

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If the energy in the first excited state in a hydrogen atom is $23.8 \, eV$,then the potential energy of a hydrogen atom in the ground state can be assumed to be ....... $eV$.

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Using Bohr's atomic model,derive an equation for the radius of the $n^{th}$ orbit of an electron.

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Using the formula for the radius of the $n^{th}$ orbit $r_n = \frac{n^2 h^2 \epsilon_0}{\pi m Z e^2}$,derive an expression for the total energy of an electron in the $n^{th}$ Bohr orbit.

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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

Obtain the equations for the frequency of radiation and the wave number when an electron makes a transition from a higher energy state to a lower energy state in a hydrogen atom.

According to de Broglie,if the wavelength of an electron in the second orbit is $10^{-9} \ m$,then the circumference of the orbit is .......

If the energy in the first excited state in a hydrogen atom is $23.8 \, eV$,then the potential energy of a hydrogen atom in the ground state can be assumed to be ....... $eV$.

Using Bohr's atomic model,derive an equation for the radius of the $n^{th}$ orbit of an electron.

Using the formula for the radius of the $n^{th}$ orbit $r_n = \frac{n^2 h^2 \epsilon_0}{\pi m Z e^2}$,derive an expression for the total energy of an electron in the $n^{th}$ Bohr orbit.

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