As an empty vessel is filled with water, its fundamental frequency
Increases
Decreases
Remains the same
None of these
A
Decreases
B
Increases
C
Remains the same
D
None of these
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Solution
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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 ,
n1=v/4l ,
where l= length of air column in pipe (height of pipe) ,
from above we get,
n1∝1/l ,
when the empty vessel is filled with water , the length of air column l in pipe decreases and therefore fundamental frequency n1 increases as length of air column and fundamental frequency are inversely proportional to each other .
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