A system consists of two types of gas molecules $A$ and $B$ having same number density $2 \times$ $10^{25}\, / {m}^{3}$. The diameter of ${A}$ and ${B}$ are $10\, \stackrel{\circ}{{A}}$ and $5\, \stackrel{\circ}{{A}}$ respectively. They suffer collision at room temperature. The ratio of average distance covererd by the molecule $A$ to that of $B$ between two successive collision is $.....\,\times 10^{-2}$
A$20$
B$25$
C$75$
D$80$
JEE MAIN 2021, Medium
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B$25$
b $\lambda=\frac{1}{\sqrt{2} \pi d ^{2} n }$
$\frac{\lambda_{1}}{\lambda_{2}}=\frac{ d _{2}^{2} n _{2}}{ d _{1}^{2} n _{1}}$
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