Question:
For the Maxwell-Boltzmann speed distribution, the ratio of the root-mean-square speed (vrms) and the most probable speed (vmax) is
Given : Maxwell-Boltzmann speed distribution function for a collection of particles of mass m is
\(f(v)=(\frac{m}{2\pi k_BT})^{3/2}4\pi v^2\text{exp}(-\frac{mv^2}{2k_BT})\)
where, v is the speed and kBT is the thermal energy.
For the Maxwell-Boltzmann speed distribution, the ratio of the root-mean-square speed (vrms) and the most probable speed (vmax) is
Given : Maxwell-Boltzmann speed distribution function for a collection of particles of mass m is
\(f(v)=(\frac{m}{2\pi k_BT})^{3/2}4\pi v^2\text{exp}(-\frac{mv^2}{2k_BT})\)
where, v is the speed and kBT is the thermal energy.
Given : Maxwell-Boltzmann speed distribution function for a collection of particles of mass m is
\(f(v)=(\frac{m}{2\pi k_BT})^{3/2}4\pi v^2\text{exp}(-\frac{mv^2}{2k_BT})\)
where, v is the speed and kBT is the thermal energy.
Updated On: Oct 1, 2024
- \(\sqrt{\frac{3}{2}}\)
- \(\sqrt{\frac{2}{3}}\)
- \(\frac{3}{2}\)
- \(\frac{2}{3}\)
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \(\sqrt{\frac{3}{2}}\).
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