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 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 :
Option 1) 328 ms-1
Option 2) 341 ms-1
Option 3) 322 ms-1
Option 4) 335 ms-1
String fixed at one end and free from other end -
- wherein
is fundamental frequency
For f = 512 Hz - marking 11cm below reference mark
For f = 256 Hz - marking 27cm below the reference mark
So we have
........i
..........ii
from i and ii
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