Given r1 = 5.3 × 10-11m
n1 = 1, n2 = 2, r2 = ?
n3 = 3, r3 = ?
Since r ∝ n2
∴ r1 ∝ n12
And r2 ∝ n22
∴ \(\frac{r_2}{r_1}=\frac{n^2_2}{n_1^2}\) = \(\frac{2^2}{1}=\frac{4}{1}\)
or r2 = 4 × r1 = 4 × 5.3 × 10-11
or e2 = 2.12 × 10-10m
Also r3 ∝ n32
\(\frac{r_3}{r_1}=\frac{n^2_3}{n_1^2}\) = \(\frac{3^2}{1}=\frac{9}{1}\)
or r3 = 9r1 = 9 × 5.3 × 10-11
or r3 = 4.77 × 10-10m.