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QJEEM21Ph903d: JEE Main 2021 Physics - Class 11 JEEM21Ph903d Solution: A system consists of two types of gas molecules A and B having…

A system consists of two types of gas molecules A and B having same number density 2 ×\times 1025/m3. The diameter of A and B are 10 Ao\mathop A\limits^o and 5 Ao\mathop A\limits^o respectively. They suffer collision at room temperature. The ratio of average distance covered by the molecule A to that of B between two successive collision is ____________ ×\times 10 −- 2

Step-by-Step Verified Solution

∵\because mean free path

λ=12πd2n\lambda = {1 \over {\sqrt 2 \pi {d^2}n}}

λ1λ2=d22n2d12n1{{{\lambda _1}} \over {{\lambda _2}}} = {{d_2^2{n_2}} \over {d_1^2{n_1}}}

=(510)2=0.25=25×10−2= {\left( {{5 \over {10}}} \right)^2} = 0.25 = 25 \times {10^{ - 2}}

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