Question

As an empty vessel is filled with water, its fundamental frequency

• A. Increases
• B. Decreases
• C. Remains the same
• D. None of these

Answer 1

The correct option is A Increases

An empty vessel with a base is like a closed organ pipe , and fundamental frequency of a closed organ pipe is given by ,

$n_1=v/4l$ ,

where $l=$ length of air column in pipe (height of pipe) ,

from above we get,

$n_1\propto 1/l$ ,

when the empty vessel is filled with water , the length of air column $l$ in pipe decreases and therefore fundamental frequency $n_1$ increases as length of air column and fundamental frequency are inversely proportional to each other .