The rest mass of the deuteron,${}_1^2H$,is equivalent to an energy of $1876 \, MeV$. The rest mass of a proton is equivalent to $939 \, MeV$ and that of a neutron is $940 \, MeV$. $A$ deuteron may disintegrate into a proton and a neutron if it:

  • A
    emits a $\gamma$-ray photon of energy $2 \, MeV$
  • B
    captures a $\gamma$-ray photon of energy $2 \, MeV$
  • C
    emits a $\gamma$-ray photon of energy $3 \, MeV$
  • D
    captures a $\gamma$-ray photon of energy $3 \, MeV$

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The binding energy per nucleon for a deuteron and an $\alpha$-particle are $x_1$ and $x_2$ respectively. The energy $Q$ released in the following reaction is:
$_1H^2 + _1H^2 \rightarrow {_2}{He}^4 + Q$

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Calculate the energy equivalent of $1 \ g$ of substance.

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