Question:

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

Updated On: May 11, 2024
  • $ {{\,}_{6}}{{C}^{12}} $
  • $ {{\,}_{14}}S{{i}^{30}} $
  • $ {{\,}_{12}}M{{g}^{25}} $
  • $ {{\,}_{11}}N{{a}^{24}} $
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The Correct Option is C

Solution and Explanation

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

Decay Rate

The disintegration of unstable heavy atomic nuclei into lighter, more stable, atomic nuclei, accompanied in the process by the emission of ionizing radiation (alpha particles, beta particles or gamma rays). This is a random process at the atomic level but, given a large number of similar atoms, the decay rate on average is predictable, and is usually measured by the half-life of the substance.

The equation for finding out the decay rate is given below: