A resonance tube is old an has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to 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:
Text Solution
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= 11 cm. + e
⇒ 
= 11 cm. + e ...
= 27 cm. + e
⇒ 
= 27 cm + e ...
equation – is
= 0.16
v = 0.16 × 2 × 4 × 256
= 327.68 m/s
328 m/s.
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