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Question: Answered & Verified by Expert
Calculate the energy released when three $\alpha$-particles combined to form a ${ }^{12} \mathrm{C}$ nucleus, the mass defect is
(Atomic mass of ${ }_{2} \mathrm{He}^{4}$ is $4.002603 \mathrm{u}$ )
PhysicsNuclear PhysicsVITEEEVITEEE 2012
Options:
  • A $0.007809 \mathrm{u}$
  • B $0.002603 \mathrm{u}$
  • C $4.002603 \mathrm{u}$
  • D $0.5 \mathrm{u}$
Solution:
1088 Upvotes Verified Answer
The correct answer is: $4.002603 \mathrm{u}$
Mass defect
$$
\begin{array}{l}
\begin{array}{l}
\Delta \mathrm{m}=\text { Total mass of } \alpha \text {-particles } \\
\quad-\text { mass of }^{12} \mathrm{C} \text { nucleus } \\
=3 \times 4.002603-12=12.007809-12 \\
=0.007809 \text { unit }
\end{array}
\end{array}
$$

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