(C) The radius of the $n^{th}$ Bohr orbit is given by the formula $r_n = a_0 \times \frac{n^2}{Z}$,where $a_0$ is the radius of the first Bohr orbit o

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(C) The radius of the $n^{th}$ Bohr orbit is given by the formula $r_n = a_0 \times \frac{n^2}{Z}$,where $a_0$ is the radius of the first Bohr orbit of the hydrogen atom.Given $a_0 = 0.6 \mathring{A} = 60 \, pm$.For the third Bohr orbit of $He^{+}$,$n = 3$ and $Z = 2$.$r = 60 \times \frac{3^2}{2} \, pm$.$r = 60 \times \frac{9}{2} \, pm$.$r = 30 \times 9 = 270 \, pm$.

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

Medium

Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \mathring{A}$. The radius of the third Bohr orbit of $He^{+}$ is $..................$ picometer. (Nearest Integer)

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A
$170$
B
$180$
C
$270$
D
$250$

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Structure of Atom

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Atomic models and Planck's quantum theory

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Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \mathring{A}$. The radius of the third Bohr orbit of $He^{+}$ is $..................$ picometer. (Nearest Integer)

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