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Physics Question on kinetic theory

In a dilute gas, the number of molecules with free path length ≥ x is given by N(x) = N0e-x/λ, where N0 is the total number of molecules and A is the mean free path. The fraction of molecules with free path lengths between λ and 2λ is

A

1e\frac{1}{e}

B

ee−1\frac{e}{e-1}

C

e2e−1\frac{e^2}{e-1}

D

e−1e2\frac{e-1}{e^2}

Answer

e−1e2\frac{e-1}{e^2}

Explanation

Solution

The correct answer is (D) : e2e−1\frac{e^2}{e-1}