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A student is performing an experiment using a resonance column and a tuning fork of frequency \( 244 \mathrm{~s}^{-1} \). He is told that the air in the tube has been replaced by another gas (assume that the column remains filled
P with the gas). If the minimum height at which resonance

W. occurs is \( (0.350 \pm 0.005) \mathrm{m} \), the gas in the tube is
(Useful information):
\[
\sqrt{167 R T}=640 j^{1 / 2} \text { mole }^{-1 / 2}
\]
\( \sqrt{140 R T}=590 \mathrm{j}^{1 / 2} \) mole \( ^{-1 / 2} \). The molar masses \( \mathrm{M} \) in grams are given in the options. Take the value of \( \sqrt{\frac{10}{M}} \) for each gas as given there.)
[JEE Advanced-2014]
(A) Neon \( \left(\mathrm{M}=20, \sqrt{\frac{10}{20}}=\frac{7}{10}\right) \)
(B) Nitrogen \( \left(\mathrm{M}=28, \sqrt{\frac{10}{28}}=\frac{3}{5}\right) \)
(C) Oxygen \( \left(\mathrm{M}=32, \sqrt{\frac{10}{32}}=\frac{9}{16}\right) \)
(D) \( \operatorname{Argon}\left(\mathrm{M}=36, \sqrt{\frac{10}{36}}=\frac{17}{32}\right) \)
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