(C) According to Bohr's model,the radius of the $n^{th}$ orbit is given by the formula $r_n = a_0 \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is

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Nine times the radius of first orbit

(C) According to Bohr's model,the radius of the $n^{th}$ orbit is given by the formula $r_n = a_0 \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the principal quantum number,and $Z$ is the atomic number.For a given atom,$Z$ is constant,so $r_n \propto n^2$.For the $3^{rd}$ orbit $(n=3)$ and the $1^{st}$ orbit $(n=1)$:$\frac{r_3}{r_1} = \frac{3^2}{1^2} = \frac{9}{1}$.Therefore,$r_3 = 9 r_1$.

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

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On the basis of Bohr's model,the radius of $3^{rd}$ orbit is

A
Equal to the radius of first orbit
B
Three times the radius of first orbit
C
Nine times the radius of first orbit
D
Five times the radius of first orbit

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On the basis of Bohr's model,the radius of $3^{rd}$ orbit is

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