A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz product 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 :

Engineering

Physics

Quinkes Kundts and Resonance Tube Experiment

Question

335 ms^–1

341 ms^–1

328 ms^–1

322 ms^–1

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$λ_{1} = 4 (11 + e) \frac{v}{512}$

$λ_{2} = 4 (27 + e) \frac{v}{256}$

$\frac{11 + e}{27 + e} = \frac{1}{2}$

⇒ 22 + 2e = 27 + e

⇒ e = 5