(C) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -13.6 / n^2 \, eV$.For the ground state,$n = 1$

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(C) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by the formula: $E_n = -13.6 / n^2 \, eV$.For the ground state,$n = 1$.For the first excited state,$n = 2$.For the second excited state,$n = 3$.Substituting $n = 3$ into the formula:$E_3 = -13.6 / (3)^2 \, eV$$E_3 = -13.6 / 9 \, eV$$E_3 \approx -1.51 \, eV$.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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The ground state energy of a $H$ atom is given as $-13.6 \, eV$. The energy of the second excited state will be .......... $eV$.

A
$-6.8$
B
$-3.4$
C
$-1.51$
D
$-4.3$

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Class 11

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Structure of Atom

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Atomic models and Planck's quantum theory

The Ritz combination principle states that:

Easy

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What is the maximum number of emission lines when the excited electron of an $H$ atom in $n=6$ drops to the ground state?

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The series limit for the Balmer series of $H$ atom spectra is:

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$(i)$ The energy associated with the first orbit in the hydrogen atom is $-2.18 \times 10^{-18} \, J \, atom^{-1}$. What is the energy associated with the fifth orbit?
$(ii)$ Calculate the radius of Bohr's fifth orbit for the hydrogen atom.

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What transition in the hydrogen spectrum would have the same wavelength as the Balmer transition $n=4$ to $n=2$ of $He^{+}$ spectrum?

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The ground state energy of a $H$ atom is given as $-13.6 \, eV$. The energy of the second excited state will be .......... $eV$.

Similar Questions

The Ritz combination principle states that:

What is the maximum number of emission lines when the excited electron of an $H$ atom in $n=6$ drops to the ground state?

The series limit for the Balmer series of $H$ atom spectra is:

$(i)$ The energy associated with the first orbit in the hydrogen atom is $-2.18 \times 10^{-18} \, J \, atom^{-1}$. What is the energy associated with the fifth orbit?$(ii)$ Calculate the radius of Bohr's fifth orbit for the hydrogen atom.

What transition in the hydrogen spectrum would have the same wavelength as the Balmer transition $n=4$ to $n=2$ of $He^{+}$ spectrum?

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$(i)$ The energy associated with the first orbit in the hydrogen atom is $-2.18 \times 10^{-18} \, J \, atom^{-1}$. What is the energy associated with the fifth orbit?
$(ii)$ Calculate the radius of Bohr's fifth orbit for the hydrogen atom.