The radius of $R$ of a nucleus of mass number $A$ can be estimated by the formula $R =\left(1.3 \times 10^{-15}\right) A ^{1 / 3}\, m .$ It follows that the mass density of a nucleus is of the order of

$\left( M _{\text {prot. }} \cong M _{\text {neut. }}=1.67 \times 10^{-27} kg \right)$

  • [JEE MAIN 2020]
  • A

    $10^{24} \;kg m ^{-3}$

  • B

    $10^{3} \;kg m ^{-3}$

  • C

    $10^{17} \;kg m ^{-3}$

  • D

    $10^{10} \;kg m ^{-3}$

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  • [AIPMT 2008]

Given the mass of iron nucleus as $55.85\,u$ and $A=56$, find the nuclear density?