-particles are projected with identical kinetic energies towards thin foils of , , , and . For which — Atomic Structure Chemistry Question
Question
$\alpha$ -particles are projected with identical kinetic energies towards thin foils of $Cu(Z=29)$, $Ag(Z=47)$, $Au(Z=79)$, and $Ca(Z=20)$. For which metal is the distance of closest approach the minimum?
Answer: D
💡 Solution & Explanation
The distance of closest approach ($r_{min}$) is directly proportional to the target's atomic number ($Z$) since $K.E. = \frac{1}{4\pi\epsilon_0} \frac{Z_1 Z_2 e^2}{r_{min}}$. Minimum $Z$ corresponds to $Ca$ ($Z=20$), yielding the minimum $r_{min}$.
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