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Physics · KINETIC THEORY
हिन्दीMatch List-I with List-II: List-I (Physical Quantity) List-II (Dependence on Absolute Temperature \( T \) at Constant Volume) A Pressure of an ideal gas I \( \propto T^1 \) B Root mean square speed \( v_{\text{rms}} \) II \( \propto T^{1/2} \) C Mean free path \( l \) III \( \propto T^0 \) (Independent of \( T \)) D Collision frequency \( \nu \) IV \( \propto T^{1/2} \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I (Physical Quantity) | List-II (Dependence on Absolute Temperature \( T \) at Constant Volume) | ||
|---|---|---|---|
| A | Pressure of an ideal gas | I | \( \propto T^1 \) |
| B | Root mean square speed \( v_{\text{rms}} \) | II | \( \propto T^{1/2} \) |
| C | Mean free path \( l \) | III | \( \propto T^0 \) (Independent of \( T \)) |
| D | Collision frequency \( \nu \) | IV | \( \propto T^{1/2} \) |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option A
A-(I), B-(II), C-(III), D-(IV)
Explanation
At constant volume: \( P \propto T \); \( v_{\text{rms}} \propto T^{1/2} \); \( l = \frac{1}{\sqrt{2} n \pi d^2} \propto T^0 \) because \( n \) is constant; and \( \nu = \frac{\langle v \rangle}{l} \propto T^{1/2} \).
