Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Exam: CSIR-NET DEC 2011 · 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 (as printed): C
Explanation
$KE=\frac{1}{2}mV^{2}$. According to the question, $1\,\mathrm{MeV}=\frac{1}{2}mS_{1}^{2}$ and $2\,\mathrm{MeV}=\frac{1}{2}mS_{2}^{2}$.