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 He is told that the air in the tube has been replaced by another gas (assume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

W height at which resonance occurs is \( (0.350 \pm 0.005) \mathrm{m} \), the gas in the tube is
(Useful information) : \( \sqrt{167 R T}=640 J^{1 / 2} \mathrm{~mole}^{-1 / 2} \); \( \sqrt{140 R T}=590 J^{1 / 2} \) mole \( e^{-1 / 2} \). 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 2014]
(a) Neon \( \left(M=20, \sqrt{\frac{10}{20}}=\frac{7}{10}\right) \)
(b) Nitrogen \( \left(M=28, \sqrt{\frac{10}{28}}=\frac{3}{5}\right) \)
(c) Oxygen \( \left(M=32, \sqrt{\frac{10}{32}}=\frac{9}{16}\right) \)
(d) \( \operatorname{Argon}\left(M=36, \sqrt{\frac{10}{36}}=\frac{17}{32}\right) \)
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