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A glass tube of 1.0 m length is filled with water; the water can be drained out slowly at the bottom of the tube. If a vibrating tuning work of frequency 500 Hz is brought at the upper end of the tube and the velocity of sound is 330 m/s, then the total number of resonances obtained will be:

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answer is B.

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Detailed Solution

Wavelength of the sound waves is given as

$λ = \frac{v}{n} = \frac{330}{500}$

Resonance will occur at $\frac{λ}{4}, \frac{3 λ}{4} a n d \frac{5 λ}{4}$

and values beyond $\frac{5 λ}{4}$ will be greater than the length of the tube.

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