A resonance tube completely filled with water has a small hole at the bottom. Length of the tube is 0.8 m . A vibrating tuning fork of frequency 500 Hz is held near the open end of tube. Water is slow

Question

A resonance tube completely filled with water has a small hole at the bottom. Length of the tube is 0.8 m . A vibrating tuning fork of frequency 500 Hz is held near the open end of tube. Water is slowly removed from the bottom. The maximum number of resonances heard will be (Neglect end correction. Speed of sound in air = 340 m / s )

TestHub · Accepted Answer

ℓ = 0.8 m f = 500 Hz v = 340 m / s v = f λ λ = f v ​ = 500 340 ​ = 50 34 ​ = 50 34 ​ = 25 17 ​ m 4 λ ​ = 100 17 ​ = 0.17 m 4 3 λ ​ = 0.51 m 4 5 λ ​ = 0.85 m ​ So, only 2 resonances will be heard.

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