A glass tube of 1 m length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fork of frequency 500 Hz is brought at the upper end of the tube t

Question

A glass tube of 1 m length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fork of frequency 500 Hz is brought at the upper end of the tube then total number of resonances obtained are [Velocity of sound in air is 320 ms − 1 ]

TestHub · Accepted Answer

​ f = 500 Hz , v = 320 m / s λ = f v ​ = 500 320 ​ = 0.64 m = 64 cm ​ Resonances will be obtained at air columns of lengths ​ 4 λ ​ , 4 3 λ ​ , 4 5 λ ​ , 4 7 λ ​ , …… 4 λ ​ = 4 64 ​ = 16 cm ​ Resonance can be obtained at 16 cm , 48 cm , 80 cm , 112 cm , … Since the length of the tube is 100 cm , only first three resonances can be obtained.

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