A student is performing an experiment using a resonance column and a tuning fork of…

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s−1244 \text{ s}^{-1}. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is (0.350±0.005) m(0.350 \pm 0.005) \text{ m}, the gas in the tube is (Useful information: 167RT=640 J1/2 mole−1/2\sqrt{167RT} = 640 \text{ J}^{1/2} \text{ mole}^{-1/2} ; 140RT=590 J1/2 mole−1/2\sqrt{140RT} = 590 \text{ J}^{1/2} \text{ mole}^{-1/2}. The molar masses MM in grams are given in the options. Take the values of 10M\sqrt{\frac{10}{M}} for each gas as given there.) [Adv. 2014] (1) Neon (M=20,1020=710)\left( M = 20, \sqrt{\frac{10}{20}} = \frac{7}{10} \right) (2) Nitrogen (M=28,1028=35)\left( M = 28, \sqrt{\frac{10}{28}} = \frac{3}{5} \right) (3) Oxygen (M=32,1032=916)\left( M = 32, \sqrt{\frac{10}{32}} = \frac{9}{16} \right) (4) Argon (M=36,1036=1732)\left( M = 36, \sqrt{\frac{10}{36}} = \frac{17}{32} \right)

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