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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
In a dilute gas at pressure \(P\) and temperature \(T\), the mean time between successive collisions of a molecule varies with \(T\) as
- A \(\sqrt{ T }\)
- B \(\frac{1}{ T }\)
- C \(\frac{1}{\sqrt{ T }}\)
- D \(T\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{\sqrt{ T }}\)
Step-by-step Solution
Detailed explanation
\(v _{ avg } \propto \sqrt{ T }\) \(t _{0}:\) mean time \(\lambda:\) mean free path \(t _{0}=\frac{\lambda}{ v _{avg }} \times \frac{1}{\sqrt{ T }}\)
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