For a gas sample with Np number of molecules, function N(V) is given by: $$N\left( V \right)=\frac{dN}{dV}=\left[ \frac{3{{F}_{0}}}{V_{0}^{3}} \right]{{V}^{2}}$$ for $$0\le V\le {{V}_{0}}$$and $$N\left( V \right)=0$$for $$V{{V}_{0}}$$ Where $$dN$$ is number of molecules in speed range V to $$V+dV.$$The rms speed of the gas molecule is

Question

For a gas sample with Np number of molecules, function N(V) is given by: $$N\left( V \right)=\frac{dN}{dV}=\left[ \frac{3{{F}_{0}}}{V_{0}^{3}} \right]{{V}^{2}}$$ for $$0\le V\le {{V}_{0}}$$and $$N\left( V \right)=0$$for $$V>{{V}_{0}}$$ Where $$dN$$ is number of molecules in speed range V to $$V+dV.$$The rms speed of the gas molecule is

TuteeHUB · Accepted Answer

$$\sqrt{2}{{V}_{0}}$$

TuteeHUB · Answer

$$\sqrt{\frac{2}{5}}{{V}_{0}}$$

TuteeHUB · Answer

$$\sqrt{\frac{3}{5}}{{V}_{0}}$$

TuteeHUB · Answer

$$\sqrt{3}{{V}_{0}}$$

1.	For a gas sample with Np number of molecules, function N(V) is given by: \[N\left( V \right)=\frac{dN}{dV}=\left[ \frac{3{{F}_{0}}}{V_{0}^{3}} \right]{{V}^{2}}\] for \[0\le V\le {{V}_{0}}\]and \[N\left( V \right)=0\]for \[V>{{V}_{0}}\] Where \[dN\] is number of molecules in speed range V to \[V+dV.\]The rms speed of the gas molecule is
A.	\[\sqrt{\frac{2}{5}}{{V}_{0}}\]
B.	\[\sqrt{\frac{3}{5}}{{V}_{0}}\]
C.	\[\sqrt{2}{{V}_{0}}\]
D.	\[\sqrt{3}{{V}_{0}}\]
Answer» C. \[\sqrt{2}{{V}_{0}}\]

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