What will be the average value of energy along

Question:

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $T$ ? $\left(\mathrm{k}_{\mathrm{B}}\right.$ is Boltzmann constant)

  1. $\frac{1}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$

  2. $\frac{2}{3} \mathrm{k}_{\mathrm{B}} \mathrm{T}$

  3. $\frac{3}{2} k_{B} T$

  4. $k_{\mathrm{B}} \mathrm{T}$


Correct Option: 1

Solution:

Energy associated with each degree of

freedom per molecule $=\frac{1}{2} k_{B} T$.

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