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MHT CET 2025 (22 Apr, Shift 1) · Radioactive Decays: Alpha, Beta, Gamma

Radioactive Decays: Alpha, Beta, Gamma question from MHT CET 2025 (22 Apr, Shift 1)

Q5MHT CET 2025 · 22 APR · SHIFT 1Easy

Radioactive Decays: Alpha, Beta, Gamma

88Ra226{}_{88}\text{Ra}^{226} is converted into 82Pb206{}_{82}\text{Pb}^{206} by emission of alpha ( α\alpha) and beta ( β\beta) particles. The number of alpha and beta particles emitted are respectively

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Answer: (a)

  1. Only α\alpha changes AA: nα=226−2064=5n_\alpha = \dfrac{226 - 206}{4} = 5
  2. After 5α5\alpha: Z=88−10=78Z = 88 - 10 = 78.
  3. Each β−\beta^- raises ZZ by 1: nβ=82−78=4n_\beta = 82 - 78 = 4
  4. So the answer is (a) 5, 4.
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