PiTheory

Nuclei question for JEE Main (JEE Main 2024 (29 Jan, Shift 1)), with solution

Q 12-13-048JEE MainJEE Main 2024 (29 Jan, Shift 1)Medium

The explosive in a Hydrogen bomb is a mixture of $^2_1\text{H}$, $^3_1\text{H}$ and $^6_3\text{Li}$ in some condensed form. The chain reaction is given by
$$^6_3\text{Li} + {}^1_0n \to {}^4_2\text{He} + {}^3_1\text{H};\qquad {}^2_1\text{H} + {}^3_1\text{H} \to {}^4_2\text{He} + {}^1_0n$$
During the explosion the energy released is approximately:

[Given: $M(\text{Li}) = 6.01690\ \text{amu}$, $M(^2_1\text{H}) = 2.01471\ \text{amu}$, $M(^4_2\text{He}) = 4.00388\ \text{amu}$ and $1\ \text{amu} = 931.5\ \text{MeV}$]

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