MCQ
Radius of the nucleus is equal to $10^{-12}\, cm.$ and that of the atom is equal to $10^{-8} \,cm.$ What is the fraction of the volume of the atom occupied by nucleus ?
  • A
    $10^{12}$
  • $10^{-12}$
  • C
    $10^{-20}$
  • D
    $10^{-4}$

Answer

Correct option: B.
$10^{-12}$
b
A nucleus is the positively charged center of the atom consisting of protons and neutrons. It's also known as the "atomic nucleus". Nearly all the mass of an atom is contained within the nucleus, since protons and neutrons have much more mass than electrons

according to qes. Volume of nucleus $=\frac{4}{3} \pi r^{3}=\frac{4}{3} \pi\left(10^{-12}\right)^{3} \mathrm{cm}^{3}$

Volume of atom $=\frac{4}{3} \pi\left(10^{-8}\right)^{3} \mathrm{cm}^{3}$

$\frac{V_{N}}{V_{\text {atom}}}=\frac{10^{-36}}{10^{-24}}$

$\frac{V_{N}}{V_{\text {atom}}}=10^{-12}$

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