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  • If  represents the man of each molecule of a gas and <img alt="T" src="https://entrancecorner.oncodecogs.com/gi

If m represents the man of each molecule of a gas and T its absolute temperature, then the root mean square velocity of the molecule is proportional to - 

Option: 1

MT


Option: 2

\bar{M}^{1 / 2} T^{1 / 2}


Option: 3

\bar{M}^{1 / 2} T


Option: 4

{M}^-^{1} T


Answers (1)

best_answer

We know that, 

\bar{V}^2=\frac{3 R T}{M} \Rightarrow V_{\text {rms }}=\sqrt{\frac{3 R T}{M}}

The root mean square of the molecules of a gas is directly proportional to the square root of the absolute temperature of the gas and inversely proportional to the square of the mass of molecules of the gas.

\text { so, } v_{\text {rms }} \propto \sqrt{T} \text { and } v_{\text {rms }} \propto\frac{1}{\sqrt{m}}

V=M^\frac{-1}{2} T^{1 / 2}

Posted by

chirag

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