Question

In Bohr’s model, if the atomic radius of the first orbit is $r_{0}$, then the radius of the fourth orbit is.

• A. $r_{0}$
• B. $4r_{0}$
• C. $r_{0} ⥂ / ⥂ 16$
• D. $16r_{0}$

Answer 1

Answer: (D)

$16r_{0}$

Answer 2

$r_{n} \propto n^{2} \Rightarrow \frac{r_{4}}{r_{1}} = \left( \frac{4}{1} \right)^{2} = \frac{16}{1} \Rightarrow r_{4} = 16\mspace{6mu} r_{1} \Rightarrow r_{4} = 16\mspace{6mu} r_{0}$