A rectangular block of mass
and area of cross‐section
floats in a liquid of density
If it is given a small vertical displacement from equilibrium it undergoes with a time period
then
Text Solution
Verified by ExpertsC
Let
be the length of block immersed in liquid as shown in the figure. When the block is floating,

If the block is given vertical displacement
then the effective restoring force is


Restoring force
. As this
is directed towards its equilibrium position of block, so if the block is left free, it will execute simple harmonic motion.
Here inertia factor
mass of block 
Spring factor 
Time period 
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