- 1(current)
Q. No.The mean free path \(l\) for a gas molecule depends upon the diameter, \(d\) of the molecule as:
1. \(l\propto \frac{1}{d^2}\)
2. \(l\propto d\)
3. \(l\propto d^2 \)
4. \(l\propto \frac{1}{d}\)
The mean free path for a gas, with molecular diameter \(d\) and number density \(n,\) can be expressed as:
1. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}^2} \)
2. \( \frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2} \)
3. \(\frac{1}{\sqrt{2} n^2 \pi^2 d^2} \)
4. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}}\)
If the mean free path of atoms is doubled , then the pressure of the gas will become:
1. P/4
2. P/2
3. 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 \(0^\circ \mathrm{C}.\) |
| 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 \({3 \over 2}\mathrm k_\mathrm{B} \mathrm T\) (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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