A resonance tube is old and has a jagged end. It is still used in the laboratory to determine the velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a reference mark, near the open end of the tube. The experiment is repeated with another fork of frequency 256 Hz which produces first resonance when water reaches a mark 27 cm below the reference mark. The velocity of sound in air, obtained in the experiment, is close to

Question

A resonance tube is old and has a jagged end. It is still used in the laboratory to determine the velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a reference mark, near the open end of the tube. The experiment is repeated with another fork of frequency 256 Hz which produces first resonance when water reaches a mark 27 cm below the reference mark. The velocity of sound in air, obtained in the experiment, is close to, 335 m s - 1, 341 m s - 1, 322 m s - 1, 328 m s - 1

MARKS App · Accepted Answer

λ 1 4 = 11 + e ⇒ v 512 × 4 = 11 + e . . . ( 1 ) λ 2 4 = 27 + e ⇒ v 256 × 4 = 27 + e . . . ( 2 ) Subtracting the equations, v 256 × 4 × 1 2 = 16 cm = 0 . 16 m ⇒ v = 0.16 × 2 × 4 × 256 = 328 m s - 1

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