open vertical tube has water in it. a tuning fork vibrates over its mouth as the

Question

open vertical tube has water in it. a tuning fork vibrates over its mouth as the water level is lowered in the tube, the 6th resonance is heard from water level is 214.5 cm below top. what is the wavelength of the sound wave assuming the speed of sound is 343 m/s open vertical tube has water in it. a tuning fork vibrates over its mouth as the water level is lowered in the tube, the 6th resonance is heard from water level is 214.5 cm below top. what is the wavelength of the sound wave assuming the speed of sound is 343 m/s open vertical tube has water in it. a tuning fork vibrates over its mouth as the water level is lowered in the tube, the 6th resonance is heard from water level is 214.5 cm below top. what is the wavelength of the sound wave assuming the speed of sound is 343 m/s

Explanation / Answer

Given  
   the water level in the tube is L = 214.5 cm

as given at the end of the water level always a node will form

   so the possible fundamental frequency is f = n*v/4lambda; n = 1,3,5,....

                      
6th fundamental frequency is f = 11*v/4L

we knwo that frequency f = V/Lambda

       ==> LAmbda = 4*L/11 m
           = 4*2.145/11

           = 0.78 m

wavelength of the sound wave is 0.78 m

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