Final answer:
The mean time between successive collisions of a molecule in a diode gas at pressure P and temperature T varies with T as T². The correct option is A.
Step-by-step explanation:
The mean time between successive collisions of a molecule in a diode gas at pressure P and temperature T varies with T as:
- T²
- TC
- 1/T
- T³
The correct option is T².
The mean time between successive collisions of gas molecules is inversely proportional to the temperature. This means that as the temperature increases, the mean time between successive collisions decreases. The relationship between the mean time and temperature can be represented by the equation:
Mean time ∝ 1/T
Since the mean time is directly proportional to the time between collisions, the relationship between the mean time and temperature can also be represented as:
Mean time ∝ T²
Therefore, the correct option is T².