Answer :

Given, mass of the wooden block,

Density of the block,


Density of water,


Spring constant,


The weight of the block is balanced by the spring and the buoyant force.




Solving for x, we get



(b) The buoyant force and the weight of the block are fixed. Therefore, the only unbalanced force is that due to spring, which will drive the system.



From which, we will get time period, .


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