A long tube contains air pressure of `1 atm` and a temperature of `59^(@) C`. The tube is open at one end and closed at the other by a movable piston . A tuning fork near the open end is vibrating with a frequency of `500 Hz`. Resonance is produced when the piston is at distances `16 cm , 49.2 cm and 82.4 cm` from open end. Molar mass of air is `28.8 g//mol`. Radius of tube isA. `1.1 cm`B. `1 cm`C. `1.2 cm`D. `2 cm`

A long tube contains air pressure of `1 atm` and a temperature of `59^

1.	A long tube contains air pressure of `1 atm` and a temperature of `59^(@) C`. The tube is open at one end and closed at the other by a movable piston . A tuning fork near the open end is vibrating with a frequency of `500 Hz`. Resonance is produced when the piston is at distances `16 cm , 49.2 cm and 82.4 cm` from open end. Molar mass of air is `28.8 g//mol`. Radius of tube isA. `1.1 cm`B. `1 cm`C. `1.2 cm`D. `2 cm`
Answer» Correct Answer - B `(lambda)/(4) = l_(1) + e` `( 3lambda)/( 4) = l_(2) + e` `e = (l_(2) - 3l_(1))/(2) = (49.2 - 3(16))/(2) = 0.6` `rArr 0.6 r = 0.6` ` r = 1 cm`

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