Two α particles having speeds S₁ and S₂ have kinetic energies 1 and 2 MeV respectively; the relationship between S₁ and S₂ is :

Q20 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Gaseous State – General · Marks: 2 · Difficulty: Hard

Two $\alpha$ particles having speeds $S_1$ and $S_2$ have kinetic energies 1 and 2 MeV respectively; the relationship between $S_1$ and $S_2$ is :

(a)$S_1=2S_2$

(b)$S_2=2S_1$

(c)$S_2=\sqrt{2}\,S_1$

(d)$S_1=\sqrt{2S_2}$

Answer

Answer: C ✓ checked by 4AB · confidence high

Explanation

KE ∝ speed² for the same mass: S₂²/S₁² = 2, so S₂ = √2 S₁.

Study loop for Gaseous State