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Nuclear Fusion

A helium atom...

Question

A helium atom, a hydrogen atom and a neutron have masses of $4.003 u$ , $1.008 u$ and $1.009 u$ (unified atomic mass units), respectively. Assuming that hydrogen atoms and neutrons can fuse to form helium, what is the binding energy of a helium nucleus?

2.01 u

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3.031 u

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1.017 u

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0.031 u

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Solution

The correct option is D $0.031 u$
$2_{1} H^{1} + 2 n \to_{2} H e^{4}$
Binding energy $=$ Mass defect
$= - m_{H e} + 2 m_{n} + 2 m_{H}$
$= 2 (1.008) + 2 (1.009) - 4.003$
$= 0.031 u$

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