ABC26PH0731 · Gaseous State

Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Gaseous State – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

The Maxwell-Boltzmann distribution $\mathrm{f}\left(v_{\mathrm{x}}\right)$ of one-dimensional velocities $v_{\mathrm{x}}$ at temperature T is [Given: A is a normalization constant such that $\int_{-\infty}^{\infty} \mathrm{f}\left(v_{\mathrm{x}}\right) \mathrm{d} v_{\mathrm{x}}=1$ and $\mathrm{k}_{\mathrm{B}}$ is the Boltzmann constant]
(a)$A \exp \left(-m v_{x}^{2} / 2 k_{B} T\right)$
(b)$\mathrm{A} \exp \left(-\mathrm{m} v_{\mathrm{x}}^{2} / \mathrm{k}_{\mathrm{B}} \mathrm{T}\right)$
(c)$\mathrm{A} v_{\mathrm{x}}^{2} \exp \left(-\mathrm{m} v_{\mathrm{x}}^{2} / 2 \mathrm{k}_{\mathrm{B}} \mathrm{T}\right)$
(d)$\mathrm{A} v_{\mathrm{x}}^{2} \exp \left(-\mathrm{m} v_{\mathrm{x}}^{2} / \mathrm{k}_{\mathrm{B}} \mathrm{T}\right)$
Answer
SELF-PRACTICE — the source book printed no answer.

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Explanation
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