Question

The Maxwell-Boltzmann distribution $f(v_x)$ of one-dimensional velocities $v_x$ at temperature T is [Given: A is a normalization constant such that $\int_{-\infty}^{\infty} f(v_x) dv_x = 1$, and $k_B$ is the Boltzmann constant]

• A. $Aexp(-mv_x^2/2k_BT)$
• B. $Aexp(-mv_x^2/k_BT)$
• C. $Av_x^2exp(-mv_x^2/2k_BT)$
• D. $Av_x^2exp(-mv_x^2/k_BT)$

Answer 1

Answer: (A)

$Aexp(-mv_x^2/2k_BT)$

Answer 2

The correct option is (A): $Aexp(-mv_x^2/2k_BT)$