First slide

Standing waves

Question

A glass tube 1.5 m long and open at both ends, is immersed vertically in a water tank completely. A tuning fork of 660 Hz is vibrated and kept at the upper end of the tube and the tube is gradually raised out of water. The total number of resonances heard before the tube comes out of water, taking velocity of sound air 330 m/sec is

Moderate

A

12
B

6
C

8
D

4

Solution

Suppose N resonance occurred before tube coming out.
Hence by using l = $\frac{(2 N - 1) v}{4 n}$
$\Rightarrow 1.5 = \frac{(2 N - 1) \times 330}{4 \times 660} \Rightarrow N = 6$

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