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JEE Main 2021 (22 Jul, Shift 2) · Nuclear Reactions & Q-value

Nuclear Reactions & Q-value question from JEE Main 2021 (22 Jul, Shift 2)

Q13JEE Main 2021 · 22 JUL · SHIFT 2Medium

Nuclear Reactions & Q-value

A nucleus with mass number 184 initially at rest emits an $\alpha$ -particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the $\alpha$ -particle.

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Answer: (c)

$K_\alpha = Q\,\dfrac{A - 4}{A}$ (momentum shared, energy split inversely to mass).
$K_\alpha = 5.5 \times \dfrac{180}{184} = 5.38\ \text{MeV}$
So the answer is (c) $5.38\ \text{MeV}$ .

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