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12.Kinetic Theory of Gases
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$T$ તાપમાને આપેલ વાયુ માટે $r.m.s$ વેગ $\nu_{rms}$ છે, સરેરાશ વેગ $\nu_{mp}$, તથા સંભવિત વેગ $\nu_{av}$ છે, તો .....
A
$\nu_{av}$ > $\nu_{rms}$ > $\nu_{mp}$
B
$\nu_{rms}$ > $\nu_{av}$ > $\nu_{mp}$
C
$\nu_{mp}$ > $\nu_{av}$ > $\nu_{rms}$
D
$\nu_{mp}$ > $\nu_{rms}$ > $\nu_{av}$
Solution
$V_{r m s}=\sqrt{\frac{3 R T}{M}}=\sqrt{3} \cdot \sqrt{\frac{R T}{M}}=1.73205 \sqrt{\frac{R T}{M}}$
$V_{a v}=\sqrt{\frac{8 R T}{\pi M}}=\sqrt{\frac{8}{\pi}} \cdot \sqrt{\frac{R T}{M}}=1.59576 \sqrt{\frac{R T}{M}}$
$V_{m p}=\sqrt{\frac{2 R T}{M}}=\sqrt{2} \cdot \sqrt{\frac{R T}{M}}=1.41421 \sqrt{\frac{R T}{M}}$
Thus, $\quad V_{\text {rms }} > V_{a v} > V_{m p}$
Standard 11
Physics
