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JEE Main 2023 (24 Jan, Shift 1) · Radioactive Decays: Alpha, Beta, Gamma

Radioactive Decays: Alpha, Beta, Gamma question from JEE Main 2023 (24 Jan, Shift 1)

Q11JEE Main 2023 · 24 JAN · SHIFT 1Easy

Radioactive Decays: Alpha, Beta, Gamma

Consider the following radioactive decay process

84218A→αA1→β−A2→γA3→αA4→β+A5→γA6{}^{218}_{84}A \xrightarrow{\alpha} A_{1} \xrightarrow{\beta^{-}} A_{2} \xrightarrow{\gamma} A_{3} \xrightarrow{\alpha} A_{4} \xrightarrow{\beta^{+}} A_{5} \xrightarrow{\gamma} A_{6}

The mass number and the atomic number of A6{}_{6} are given by:

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Answer: (b)

  1. α\alpha: (218,84)→(214,82)(218, 84) \to (214, 82); β−\beta^-: (214,83)(214, 83); γ\gamma: no change.
  2. α\alpha: (210,81)(210, 81); β+\beta^+: (210,80)(210, 80); γ\gamma: no change.
  3. So A6A_6 has A=210A = 210, Z=80Z = 80.
  4. So the answer is (b) 210 and 80.
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