Which one of the following nuclear reactions is NOT possible?

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${}_{6}^{12}C + {}_{6}^{12}C \to {}_{10}^{20}{Ne} + {}_{2}^{4}{He}$

${}_{4}^{9}{Be} + {}_{1}^{1}H \to {}_{3}^{6}{Li} + {}_{2}^{4}{He}$

${}_{5}^{11}{Be} + {}_{1}^{1}H \to {}_{4}^{9}{Be} + {}_{2}^{4}{He}$

${}_{3}^{7}{Li} + {}_{2}^{4}{He} \to {}_{1}^{1}H + {}_{4}^{10}B$

answer is C.

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Detailed Solution

The following laws hold true in any reaction
1) Conservation of mass (nucleons)
2) conservation of charge
Checking for all the reactions:

$\sum A_{products} = \sum A_{reactants}$

For reaction: ${}_{5}^{11}{Be} + {}_{1}^{1}H \to {}_{4}^{9}{Be} + {}_{2}^{4}{He}$ ,

mass numbers of reactants is not equal to mass number of products.

i.e. 11 + 1 ≠ 9 + 4

Hence, this reaction is not possible as mass number is not conserved.

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