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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2014 · Physics · Kinetic Theory of Gases

The mean free path of molecules of a gas (radius ‘ r ’)...

The mean free path of molecules of a gas (radius ‘ rr ’) is inversely proportional to:

Options

  1. Ar3{r}^{3}
  2. Br2{r}^{2}
  3. Crr
  4. Dr\sqrt{r}

Correct answer

B. r2{r}^{2}

Step-by-step solution

Here we have to calculate that mean free path of molecule is inversely prooportional to what power of r

we know that,

Mean free path l=12nd2l = \dfrac{1}{\sqrt{2}n{d}^{2}}
So: l∝1d2⇒l∝1r2l ∝ \dfrac{1}{{d}^{2}} ⇒ l ∝ \dfrac{1}{{r}^{2}}

Hence the mean free path of the molecule is inversely proportional to r2{r}^{2}.

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