If the mean free path of atoms is double

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Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

If the mean free path of atoms is doubled then the pressure of gas will become :

Options:

P/4

P/2

P/8

Correct Answer:

P/2

Explanation:

As \(\lambda = \frac{1}{\sqrt{2}} \frac{kT}{\pi d^2 P}\)

\(\Rightarrow P \propto \frac{1}{\lambda}\)

i.e. by increasing \(\lambda\) two times, pressure will become half.