In an atomic reactor and an atomic bomb,the multiplication factor $(r)$ per fission is respectively:

  • A
    $r = 1$ in an atomic reactor and $r > 1$ in an atomic bomb
  • B
    $r > 1$ in an atomic reactor and $r = 1$ in an atomic bomb
  • C
    $r < 1$ in an atomic reactor and $r > 1$ in an atomic bomb
  • D
    $r = 1$ in an atomic reactor and $r < 1$ in an atomic bomb

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The binding energy per nucleon for deuteron $(_1^2H)$ and helium $(_2^4He)$ nuclei are $1.1 \, MeV$ and $7 \, MeV$ respectively. Calculate the energy released in $MeV$ when two deuteron nuclei fuse to form a helium nucleus.

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Suppose we think of the fission of a $^{56}_{26} Fe$ nucleus into two equal fragments,$^{28}_{13} Al$. Is the fission energetically possible? Argue by working out the $Q$-value of the process.
Given: $m(^{56}_{26} Fe) = 55.93494 \; u$ and $m(^{28}_{13} Al) = 27.98191 \; u$.

$A$ nucleus of mass $M + \Delta m$ at rest decays into two daughter nuclei of equal mass $M/2$. If the speed of light is $c$,the speed of each daughter nucleus is:

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Fission of nuclei is possible because the binding energy per nucleon in them

When $_{92}U^{235}$ undergoes fission,$0.1\%$ of its original mass is converted into energy. How much energy is released if $1\,kg$ of $_{92}U^{235}$ undergoes fission?

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