Question

The volume occupied by an atom is greater than the volume of the nucleus by a factor of about:

Options

• 10¹⁵

• 10¹

• 10⁵

• 10¹⁰

Answer 1

10¹⁵

Explanation:

Now V ∝ r³

\[V_{atom}=r^{3}{}_{\mathrm{atom}}/r^{3}{}_{\mathrm{nucleus}}\times V_{\mathrm{nucleus}}\]

But \[r_{nucleus}/r_{atom}=(1/10^5)^3\]

So, \[V_{atom}=10^{15}\times V_{nucleus}\]