Q26 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Marks: 2 · Difficulty: Medium

Two $\alpha$ particles having speeds $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ have kinetic 1 and 2 MeV respectively; the relationship between $S_{1}$ and $S_{2}$ is :
(a)$S_{1}=2 S_{2}$
(b)$S_{2}=2 S_{1}$
(c)$\mathrm{S}_{2}=\sqrt{2 S_{1}}$
(d)$\mathrm{S}_{1}=\sqrt{2 S_{2}}$
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
KE ∝ speed² for the same mass: S₂²/S₁² = 2, so S₂ = √2 S₁.

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