Two different gases are enclosed in two different vessels at the same pressure- If the densities of the gases are -1 and -2- the corresponding root mean square velocities C1 and C2 have ratio C1 - C2 equal to

The correct option is A √(ρ_2/ρ_1) The rms velocity C=√( 3P ρ #160; #160;) C is inversely proportional to square root of ρ ...

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Standard XII

Physics

Calorimetry

Two different...

Question

Two different gases are enclosed in two different vessels at the same pressure. If the densities of the gases are $ρ_{1}$ and $ρ_{2}$ , the corresponding root mean square velocities $C_{1}$ and $C_{2}$ have ratio $C_{1} / C_{2}$ equal to

\frac{ρ_{1}^{2}}{ρ_{2}^{2}}

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\frac{ρ_{2}^{2}}{ρ_{1}^{2}}

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\sqrt{\frac{ρ_{1}}{ρ_{2}}}

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\sqrt{\frac{ρ_{2}}{ρ_{1}}}

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Solution

The correct option is A $\sqrt{\frac{ρ_{2}}{ρ_{1}}}$
The rms velocity $C = \sqrt{\frac{3 P}{ρ}}$
$C i s i n v e r s e l y p r o p o r t i o n a l t o s q u a r e r o o t o f ρ$
Therefore, ratio of two velocities $\frac{C_{1}}{C_{2}} = \sqrt{\frac{ρ_{2}}{ρ_{1}}}$
Hence, Option D is correct.

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Two different gases are enclosed in two different vessels at the same pressure. If the densities of the gases are ρ1 and ρ2, the corresponding root mean square velocities C1 and C2 have ratio C1/C2 equal to

The correct option is A √ρ2ρ1The rms velocity C=√3PρCisinverselyproportionaltosquarerootofρTherefore, ratio of two velocities C1C2=√ρ2ρ1Hence, Option D is correct.

Two different gases are enclosed in two different vessels at the same pressure. If the densities of the gases are $ρ_{1}$ and $ρ_{2}$ , the corresponding root mean square velocities $C_{1}$ and $C_{2}$ have ratio $C_{1} / C_{2}$ equal to

The correct option is A $\sqrt{\frac{ρ_{2}}{ρ_{1}}}$
The rms velocity $C = \sqrt{\frac{3 P}{ρ}}$
$C i s i n v e r s e l y p r o p o r t i o n a l t o s q u a r e r o o t o f ρ$
Therefore, ratio of two velocities $\frac{C_{1}}{C_{2}} = \sqrt{\frac{ρ_{2}}{ρ_{1}}}$
Hence, Option D is correct.