Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGMedium2 minPYQ_2021

PhysicsMediumnumerical

A system consists of two types of gas molecules $A$ and $B$ having the same number density $2 \times 10^{25} m^{- 3}$ . The diameter of $A$ and $B$ are $10 A$ and $5 A$ respectively. They suffer collisions at room temperature. The ratio of average distance covered by the molecule $A$ to that of $B$ between two successive collisions is ___________ $\times 10^{- 2}$

Answer:

25.00

Solution:

$∵$ Mean free path

$λ = \frac{1}{\sqrt{2} π d^{2} n}$

$\frac{λ_{1}}{λ_{2}} = \frac{d_{2}^{2} n_{2}}{d_{1}^{2} n_{1}}$

$= {(\frac{5}{10})}^{2} = 0.25 = 25 \times 10^{- 2}$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: PYQ_2021

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