Question
A vertical U tube of uniform cross-section contains mercury up to height 39-2cm. Find the time period of oscillation when it is disturbed. Also find the time period of oscillation if mercury in the tube is replaced by water to same height.
Solution
The time period of oscillation of liquid in U tube is given by,
where,
L is the length of the mercury column in each limb of U- tube.
We have,
Length, L = 39.2 cm
Since the time period of oscillation does not depend on the nature of liquid in U tube, therefore time period of oscillation will remain same on replacing mercury by water.
where,
L is the length of the mercury column in each limb of U- tube.
We have,
Length, L = 39.2 cm
Since the time period of oscillation does not depend on the nature of liquid in U tube, therefore time period of oscillation will remain same on replacing mercury by water.
