(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $E_n = -2.18 \times 10^{-18} \times \frac{Z^2}

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(B) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $E_n = -2.18 \times 10^{-18} \times \frac{Z^2}{n^2} \ J$ For $He^{+}$,the atomic number $Z = 2$ and for the first orbit $n = 1$. Substituting these values into the formula: $E_1 = -2.18 \times 10^{-18} \times \frac{2^2}{1^2} \ J$ $E_1 = -2.18 \times 10^{-18} \times 4 \ J$ $E_1 = -8.72 \times 10^{-18} \ J$

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

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The energy associated with the first orbit of $He^{+}$ is

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A
$0 \ J$
B
$-8.72 \times 10^{-18} \ J$
C
$-4.58 \times 10^{-18} \ J$
D
$-0.545 \times 10^{-18} \ J$

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Structure of Atom

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Atomic models and Planck's quantum theory

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The energy associated with the first orbit of $He^{+}$ is

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What transition in $He^{+}$ ion shall have the same wave number as the first line in Balmer series of hydrogen atom?

If the ionization energy of a hydrogen atom is $E$,then the ionization energy of $Li^{2+}$ will be ............ $E$.

What is the energy associated with the first orbit of $Li^{2+}$ $(R_{H} = 2.18 \times 10^{-18} \ J)$?

Calculate the energy of half a mole of photons of a radiation with a frequency of $3 \times 10^{12} \ Hz$.

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