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JEE Main 2023 (29 Jan, Shift 1) · Radioactive Decays: Alpha, Beta, Gamma

Radioactive Decays: Alpha, Beta, Gamma question from JEE Main 2023 (29 Jan, Shift 1)

Q12JEE Main 2023 · 29 JAN · SHIFT 1Easy

Radioactive Decays: Alpha, Beta, Gamma

A radioactive element 92242{}^{242}_{92}X emits two α\alpha-particles, one electron and two positrons. The product nucleus is represented by P234{}^{234}_{\text{P}}Y. The value of P is __________.

Numerical answer type. Work it out, then open the answer.

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Answer: 87

  1. Two α\alpha: A=242−8=234A = 242 - 8 = 234, ΔZ=−4\Delta Z = -4.
  2. One electron (β−\beta^-): ΔZ=+1\Delta Z = +1; two positrons (β+\beta^+): ΔZ=−2\Delta Z = -2.
  3. P=92−4+1−2=87P = 92 - 4 + 1 - 2 = 87
  4. So P=87P = 87.
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