Which of the following is most unstable?

  • A
    Electrons
  • B
    Protons
  • C
    Neutrons
  • D
    $ \alpha $-particle

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$A$ nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei,the products must move in opposite directions.

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An element consists of a mixture of three isotopes $A$, $B$, and $C$ of masses $m_1$, $m_2$, and $m_3$ respectively. If the relative abundances of the three isotopes $A$, $B$, and $C$ are in the ratio $2:3:5$, the average mass of the element is:

The nuclear radius is given by $R = r_0 A^{1/3}$,where $r_0$ is a constant and $A$ is the atomic mass number. Then,the nuclear mass density of $^{238}U$ is

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