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JEE Main 2023 (13 Apr, Shift 1) · Nuclear Reactions & Q-value

Nuclear Reactions & Q-value question from JEE Main 2023 (13 Apr, Shift 1)

Q8JEE Main 2023 · 13 APR · SHIFT 1Medium

Nuclear Reactions & Q-value

92238A→90234B+24D+Q{}^{238}_{92}A \rightarrow {}^{234}_{90}B + {}^{4}_{2}D + Q

In the given nuclear reaction, the approximate amount of energy released will be: [Given, mass of 92238A=238.05079×931.5 MeV/c2,{}^{238}_{92}\text{A} = 238.05079 \times 931.5\text{ MeV/c}^{2},

mass of 90234B=234.04363×931.5 MeV/c2,{}^{234}_{90}B = 234.04363 \times 931.5\text{ MeV/c}^{2},

mass of 24D=4.00260×931.5 MeV/c2]{}^{4}_{2}D = 4.00260 \times 931.5\text{ MeV/c}^{2}]

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Answer: (b)

  1. Δm=238.05079−(234.04363+4.00260)=0.00456 u\Delta m = 238.05079 - (234.04363 + 4.00260) = 0.00456\ \text{u}
  2. Q=0.00456×931.5≈4.25 MeVQ = 0.00456 \times 931.5 \approx 4.25\ \text{MeV}
  3. So the answer is (b) 4.25 MeV4.25\ \text{MeV}.
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