The standard deviation of speed (σc) for Maxwell's distribution satisfies the relation

Q93 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Atomic and Molecular Term Symbol · Topic: Atomic And Molecular Term Symbols – General · Marks: 2 · Difficulty: Easy

The standard deviation of speed $\left(\sigma_{\mathrm{c}}\right)$ for Maxwell's distribution satisfies the relation

(a)$\sigma_{\mathrm{c}} \propto \mathrm{T}$

(b)$\sigma_{c} \propto \sqrt{T}$

(c)$\sigma_{\mathrm{c}} \propto 1 / \mathrm{T}$

(d)$\sigma_{\mathrm{c}} \propto 1 / \sqrt{\mathrm{T}}$

Answer

Answer: B ✓ checked by 4AB · confidence high

The source book printed C; on checking, B is correct — see the explanation.

Explanation

All Maxwell speed measures scale as √(T/M), so σ ∝ √T (b).

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