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Q. No.The mean free path \(l\) for a gas molecule depends upon the diameter, \(d\) of the molecule as:
| 1. | \(l\propto \dfrac{1}{d^2}\) | 2. | \(l\propto d\) |
| 3. | \(l\propto d^2 \) | 4. | \(l\propto \dfrac{1}{d}\) |
The mean free path for a gas, with molecular diameter \(d\) and number density \(n,\) can be expressed as:
1. \( \dfrac{1}{\sqrt{2} n \pi {d}^2} \)
2. \( \dfrac{1}{\sqrt{2} n^2 \pi {d}^2} \)
3. \(\dfrac{1}{\sqrt{2} n^2 \pi^2 d^2} \)
4. \( \dfrac{1}{\sqrt{2} n \pi {d}}\)
If the mean free path of atoms is doubled, then the pressure of the gas will become:
1. \(\frac{P}{4}\)
2. \(\frac{P}{2}\)
3. \(\frac{P}{8}\)
4. \(P\)
If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules:
| 1. | decreases |
| 2. | increases |
| 3. | remains unchanged |
| 4. | increases or decreases according to the nature of the gas |
When the gas in an open container is heated, the mean free path:
1. Increases
2. Decreases
3. Remains the same
4. Any of the above depending on the molar mass
| (A) | the motion of the gas molecules freezes at \(0^\circ\text C.\) |
| (B) | the mean free path of gas molecules decreases if the density of molecules is increased. |
| (C) | the mean free path of gas molecules increases if the temperature is increased keeping the pressure constant. |
| (D) | average kinetic energy per molecule per degree of freedom is \(\dfrac32k_B T\) (for monoatomic gases). |
| 1. | (A) and (C) only |
| 2. | (B) and (C) only |
| 3. | (A) and (B) only |
| 4. | (C) and (D) only |
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Q. No.
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