A vertical tube is filled with water and a tuning forkvibrates over its mouth. A

Question

A vertical tube is filled with water and a tuning forkvibrates over its mouth. As the water level is lowered resonance isheard when the water level has dropped 16cm and again after 48 cmfrom the top of the tube. What is the frequency of the tuning fork?Take the speed of sound to be 346m/s. 241Hz (incorrect) A vertical tube is filled with water and a tuning forkvibrates over its mouth. As the water level is lowered resonance isheard when the water level has dropped 16cm and again after 48 cmfrom the top of the tube. What is the frequency of the tuning fork?Take the speed of sound to be 346m/s. 241Hz (incorrect)

Explanation / Answer

A vertical tube is filled with water and a tuning forkvibrates over its mouth. As the water level is lowered resonance isheard when the water level has dropped 16cm and again after 48 cmfrom the top of the tube. What is the frequency of the tuning fork?Take the speed of sound to be 346m/s. 241Hz (incorrect)

it is closed tube
so in this tube n=v/4l for fundamental frequency and
n1 =3v/4l [for the first overtone ]
frequency of the tuning fork=n=346/4*0.16=540.625Hz

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