$\frac{d N_{u}}{N}$ vs $u$ graphs for different gases are identical if ___________ ratio is same for the gases concerned.

T / M

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P / V

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T / V

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T / R

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Solution

The correct option is A $T / M$
$\frac{d N_{u}}{N}$ vs $u$ graphs for different gases are identical if $T / M$ ratio is same for the gases concerned.
Note: According to Maxwell-Boltzmann law for molecular velocities, the probability (p) of finding molecules with velocity u is given by the expression

$p = 4 π (\frac{M}{2 π R T})^{3 / 2} \cdot e^{- \frac{M u^{2}}{2 R T}} \cdot u^{2}$

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dNuN vs u graphs for different gases are identical if ___________ ratio is same for the gases concerned.

$\frac{d N_{u}}{N}$ vs $u$ graphs for different gases are identical if ___________ ratio is same for the gases concerned.