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Question

Physics Question on deccay rate

In the nuclear reaction 13Al27(d,α)x,X_{13}A{{l}^{27}}(d,\alpha )x,X is:

A

6C12{{\,}_{6}}{{C}^{12}}

B

14Si30{{\,}_{14}}S{{i}^{30}}

C

12Mg25{{\,}_{12}}M{{g}^{25}}

D

11Na24{{\,}_{11}}N{{a}^{24}}

Answer

12Mg25{{\,}_{12}}M{{g}^{25}}

Explanation

Solution

Atomic number of reactants and products should be the same and atomic weights of reactants and products should be the same. d represent deuterium 1H2{{\,}_{\text{1}}}{{\text{H}}^{\text{2}}} α\alpha represent α\alpha - particle (He atom) =2He4\text{=}{{\,}_{\text{2}}}\text{H}{{\text{e}}^{\text{4}}} 13Al27+1H2X+2He4{{\,}_{13}}A{{l}^{27}}+{{\,}_{1}}{{H}^{2}}\to X+{{\,}_{2}}H{{e}^{4}} 13Al27+1H212Mg25+2He4{{\,}_{13}}A{{l}^{27}}+{{\,}_{1}}{{H}^{2}}\to {{\,}_{12}}M{{g}^{25}}+{{\,}_{2}}H{{e}^{4}}