Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
0. For the given concentration, if the ratio of the diameters of the molecules of two gases is $1: 2$, then the ratio of their mean free paths is
PhysicsKinetic Theory of GasesAP EAMCETAP EAMCET 2023 (16 May Shift 1)
Options:
  • A $4: 1$
  • B $2: 1$
  • C $1: 1$
  • D $1: 2$
Solution:
1657 Upvotes Verified Answer
The correct answer is: $4: 1$
Ratio of the diameter of the molecules
$\frac{d_1}{d_2}=\frac{1}{2}$
Mean free path is given by
$\begin{aligned} & \lambda=\frac{1}{\sqrt{2} \pi \mathrm{d}^2 \mathrm{~h}} \\ & \frac{\lambda_1}{\lambda_2}=\frac{\mathrm{d}_2^2}{\mathrm{~d}_1^2}=\left(\frac{2}{1}\right)^2=\frac{4}{1}\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.