Question

The energy required to split ${}_8^{16}O$ nucleus into four $\alpha$ particles is $\underset{–}{}$.
(The mass of an $\alpha$ particle is $\mathrm{4.0026.03}amu$ and that of oxygen is $15.994915amu$)

• A. $11.6MeV$
• B. $13.7MeV$
• C. $14.4MeV$
• D. $15.8MeV$

Answer 1

The correct option is C $14.4MeV$

${}_8^{16}O\to 4_2^{4}He$
$\Delta m=[4\times 4.002603-15.994915]\mu$
$=0.015497\mu$
$Q=\Delta m{C}^2$
$=0.015497\times 931.478MeV$
$=14.44MeV$