(C) The radius of the $n^{th}$ orbit for a hydrogen-like species is given by the formula: $r_n = \frac{52.9 \times n^2}{Z} \ pm$. For $He^{+}$, the at

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(C) The radius of the $n^{th}$ orbit for a hydrogen-like species is given by the formula: $r_n = \frac{52.9 \times n^2}{Z} \ pm$. For $He^{+}$, the atomic number $Z = 2$. For the third orbit, $n = 3$. Substituting these values into the formula: $r_3 = \frac{52.9 \times (3)^2}{2} \ pm$ $r_3 = \frac{52.9 \times 9}{2} \ pm$ $r_3 = \frac{476.1}{2} \ pm = 238.05 \ pm \approx 238.1 \ pm$.

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

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Calculate the radius of the third orbit of $He^{+}$. (in $pm$)

MHT CET 2023 All MHT CET

A
$52.9$
B
$105.8$
C
$238.1$
D
$423.2$

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Structure of Atom

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Atomic models and Planck's quantum theory

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Calculate the radius of the third orbit of $He^{+}$. (in $pm$)

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If the radius of the second Bohr orbit of the $He^{+}$ ion is $105.8 \, pm$, what is the radius of the third Bohr orbit of the $Li^{2+}$ ion?

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