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Nuclear Fusion

The binding e...

Question

The binding energies of the nuclei A and B are $E_{a}$ and $E_{b}$ respectively. Three nuclei of the element B fuse to give one nucleus of element A and an energy Q is released. Then, $E_{a}, E_{b}, Q$ are related as :

A

E_{a} - 3 E_{b}, = Q

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B

3 E_{b} - E_{a}, = Q

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C

E_{a} + 3 E_{b}, = Q

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D

E_{b} + 3 E_{a}, = Q

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Solution

The correct option is A $E_{a} - 3 E_{b}, = Q$
$B E)_{A} = E_{a}, B E)_{B} = E_{b}$
$3 B \to A + Q$
$E_{a} - 3 E_{b} = Q$

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