A narrow tube open at one end has varibale length. When a vibrating tuning fork

Question

A narrow tube open at one end has varibale length. When a vibrating tuning fork is held near one end, the sound intensity is a maximum when the length is 30cm. (a) What is a possible wavelength of the sound? (b) What is a possible frequency of the tuning fork? (c) What is another frequency that would produce resonance with the tube?
A narrow tube open at one end has varibale length. When a vibrating tuning fork is held near one end, the sound intensity is a maximum when the length is 30cm. (a) What is a possible wavelength of the sound? (b) What is a possible frequency of the tuning fork? (c) What is another frequency that would produce resonance with the tube?

Explanation / Answer

(a) lambda/4 = 30 cm => wavelength = 120 cm

(b) v= freq*wavelength

freq = 343/1.20 = 285.83 sec^-1

(c) 3*wavelength/4 = 30 => wavelength = 40cm

freq = 343/0.4 = 857.5 sec^-1

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