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A container is divided into two equal part I and II by a partition with a small hole of diameter \( d \). The two partitions
\( \mathrm{P} \) are filled with same ideal gas, but held at temperature \( T_{1}=150 \mathrm{~K} \) and \( T_{\mathrm{II}}=300 \mathrm{~K} \) by connecting to heat
W reservoirs. Let \( \lambda_{\mathrm{I}} \) and \( \lambda_{\mathrm{II}} \) be then mean free paths of the gas particle in the two parts such the \( d \gg \lambda_{1} \) and \( d \gg \lambda_{11} \). Then \( \lambda_{1} / \lambda_{\mathrm{II}} \) is close to
[KVPY 2016]
(a) \( 0.25 \)
(b) \( 0.5 \)
(c) \( 0.7 \)
(d) \( 1.0 \)
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