Physics

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter nucleus is :

  1. isotope of the parent
  2. isobar of the parent
  3. isotone of the parent
  4. None of the above

Radioactivity

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Answer

isotope of the parent

Reason — When an alpha particle is emitted, the mass number decreases by 4 and the atomic number decreases by 2 while each beta particle emission increases the atomic number by 1 without changing the mass number.

If the number of beta emissions is twice that of alpha emissions, then for one alpha decay (−2 in atomic number), two beta decays (+2 in atomic number) occur, resulting in no net change in atomic number.

However, the mass number still decreases due to alpha decay so, the daughter nucleus has the same atomic number but a different mass number, meaning it is an isotope of the parent.

Hence, the resulting daughter nucleus is an isotope of the parent atom.

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