Question
Explain the relation between nuclear mass and energy? Also give the energy released in the conversion of one atomic mass unit into energy.
✓
Answer
i. The nuclear mass is expressed in atomic mass unit ( $u$ ) which is exactly $1 / 12^{\text {th }}$ of the mass of ${ }^{12} C$ atom. Thus, $u =1 / 12^{\text {th }}$ mass of $C -12$ atom $=1.66 \times 10^{-2} kg$
ii. The conversion of mass into energy is established through Einstein's equation, $E=m c^2$.
Where $m$ is the mass of matter converted into energy (E) and velocity of light (c).
iii. The energy released in the conversion of one $u$ mass into energy is given by:
$E = mc ^2=\left(1.66 \times 10^{-27} kg \right) \times\left(3 \times 10^8 m s ^{-1}\right)^2$
ii. The conversion of mass into energy is established through Einstein's equation, $E=m c^2$.
Where $m$ is the mass of matter converted into energy (E) and velocity of light (c).
iii. The energy released in the conversion of one $u$ mass into energy is given by:
$E = mc ^2=\left(1.66 \times 10^{-27} kg \right) \times\left(3 \times 10^8 m s ^{-1}\right)^2$
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