Question

A uniform tube of length 60 cm stands vertically with its lower end dipping into water . First two air column lengths above water are 15 cm, when the tube resonds to a vibrating fork of frequency 500 H_(Z) . Find the lowest frequency to the tube will respond when it is open at both ends.

Answer 1

When pipe is dip in water it will act as closed at one side.

So, 500=4lv at l=15cm

500=4l3v at l=45cm

So, v=300m/s

Now, when open at both ends,

f=2lv=2×60×10−2300=250Hz

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