Three closed vessels \( A, B \) and \( C \) are at the same tempera...
0Three closed vessels \( A, B \) and \( C \) are at the same temperature \( T \) and contain gases which obey the Maxwellian distribution
\( \mathrm{P} \) of velocities. Vessel \( A \) contains only \( \mathrm{O}_{2}, B \) only \( \mathrm{N}_{2} \) and \( \mathrm{C} \) a mixture of equal quantities of \( \mathrm{O}_{2} \) and \( \mathrm{N}_{2} \). If the average speed
W of the \( \mathrm{O}_{2} \) molecules in vessel \( A \) is \( V_{1} \), that of the \( N_{2} \) molecules in vessel \( B \) is \( V_{2} \), the average speed of the \( \mathrm{O}_{2} \) molecules in vessel \( C \) is
[IIT-JEE 1992]
(a) \( \left(V_{1}+V_{2}\right) / 2 \)
(b) \( V_{1} \)
(c) \( \left(V_{1} V_{2}\right)^{1 / 2} \)
(d) \( \sqrt{3 k T / M} \)
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