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Two particles, A and B, having same ratio are projected towards silver nucleus, in different experimAtomic Structure Chemistry Question

Question

Two particles, A and B, having same $e/m$ ratio are projected towards silver nucleus, in different experiments, with the same speed. The distance of closest approach will be

Answer: A

💡 Solution & Explanation

Distance of closest approach $r_0 = \frac{kQq}{1/2 mv^2} = \frac{2kQ}{v^2} \left(\frac{q}{m}\right)$. Since both speed $v$ and specific charge $e/m$ (or $q/m$) are the same, $r_0$ will be the same for both particles. Therefore, correct answer is A.

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