$A$ nucleus with atomic mass number $A$ produces another nucleus by losing $2$ alpha particles. The volume of the new nucleus is $60$ times that of the alpha particle. The atomic mass number $A$ of the original nucleus is:

  • A
    $228$
  • B
    $238$
  • C
    $248$
  • D
    $244$

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Match the following types of nuclei with their respective examples:
Column-$I$Column-$II$
$A$. Isotopes$i$. $Li^7, Be^7$
$B$. Isobars$ii$. $_8O^{18}, _9F^{19}$
$C$. Isotones$iii$. $_1H^1, _1H^2$

The radius of a Germanium $(Ge)$ nucleus is twice the radius of a $^9_4Be$ nucleus. The number of nucleons in $Ge$ is ......

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The mass number of $He$ is $4$ and that for sulphur is $32$. The radius of the sulphur nucleus is larger than that of the helium nucleus by a factor of:

The radius of a nucleus is given by $r = r_0 A^{1/3}$,where $r_0 = 1.3 \times 10^{-15} \, m$ and $A$ is the mass number of the nucleus. The lead nucleus has $A = 206$. The electrostatic force between two protons at diametrically opposite points in this nucleus is approximately ................ $N$.

Which of the following particles are constituents of the nucleus?

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