A certain ideal gas has a temperature 300K and a pressure $5.0 \times 10^{4} P a .$ The molecules have a mean free path $4.0 \times 10^{- 7} m .$ If the temperature is increased to 350K and pressure is reduced to $1.0 \times 10^{4} P a,$ the mean free path is

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

$9.3 \times 10^{- 8} m$

$6.9 \times 10^{- 8} m$

$2.3 \times 10^{- 6} m$

$3.4 \times 10^{- 7} m$

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Mean free path, $λ = \frac{K T}{\sqrt{2} d^{2} p} \Rightarrow λ \propto \frac{T}{P}$

$∴ λ_{2} = (\frac{T_{2}}{T_{1}}) (\frac{P_{1}}{P_{2}}) λ_{1} = (\frac{350}{300}) (\frac{5 \times 10^{4}}{10^{4}}) (4 \times 10^{- 7}) = 2.3 \times 10^{- 8} m$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!