Comprehension \( \mathrm{X} \) According to Maxwell's distribution law, the fraction of molecule...

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Comprehension \( \mathrm{X} \)
According to Maxwell's distribution law, the fraction of molecules per unit change in speed [velocity distribution function, \( f(c)] \), traveling with the speed from \( C \) to \( C+\mathrm{d} C \) is given as: \( f(c)=\frac{1}{\mathrm{~d} C} \cdot\left(\frac{\mathrm{d} N}{N}\right)=4 \pi \cdot\left(\frac{M}{2 \pi R T}\right)^{3 / 2} \cdot C^{2} \cdot e^{-M C^{2} / 2 R T} \). \( (R=8.0 \mathrm{~J} / \mathrm{K}-\mathrm{mol}, \ln 2=0.7) \)
On increasing the molecular mass of gaseous sample at constant temperature, the fraction of molecules having speed equal to most probable speed at that molecular mass
(a) increases
(b) decreases
(c) remains unchanged
(d) increases or decreases, depending on gas.
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