Question

Choose the correct option.

The radius of the 4^th orbit of the electron will be smaller than its 8^th orbit by a factor of ______.

The radius of the eighth orbit of the electron in the H-atom will be more than that of the fourth orbit by a factor of ______.

Options

• 2

• 4

• 8

• 16

Answer 1

The radius of the 4^th orbit of the electron will be smaller than its 8^th orbit by a factor of 4.

Explanation:

`r_4 = 0.529 xx 10^-8 xx 4^2`

`r_s = 0.529 xx 10^-8 xx 8^2`

`r_s/r_4 = (0.529 xx 10^-8 xx 8^2)/(0.529 xx 10^-8 xx 4^2) = 8^2/4^2`

`r_s/r_4 = 64/16` = 4