Question

The radius (r_n) of n^th orbit in Bohr model of hydrogen atom varies with n as ______.

Options

• r_n ∝ n

• `r_n ∝ 1/n`

• r_n ∝ n²

• `r_n ∝ 1/n^2`

Answer 1

The radius (r_n) of n^th orbit in Bohr model of hydrogen atom varies with n as r_n ∝ n².

Explanation:

In Bohr's model of H-atom, the radius of n^th orbit is given by,

`r_n = (n^2h^2)/(4pi^2mke^2`

So, r_n ∝ n²