Wave Motion 2 Question 5
5. 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 produces first resonance when the tube is filled with water to a mark below a reference mark. near the open end of the tube. The experiment is repeated with another fork of frequency which produces first resonance when water reaches a mark below the reference mark. The velocity of sound in air, obtained in the experiment is close to (Main 2019, 12 Jan II)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 5. (a)
Solution:
- Key idea To overcome the error occured in measurement of resonant length. We introduce end correction factor
in length.
In first resonance, length of air coloumn
So,
So, speed of sound is
And in second case,
Dividing both Eqs. (i) and (ii), we get
Substituting value of
Speed of sound