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A thin vertical tube of weight 12 g and ...

A thin vertical tube of weight 12 g and external diameter 1 cm is made to float vertically in water by placing 12 g of mercury at its bottom. If the tube is depressed slightly and then released, determine the time period of S.H.M.
Take `g = 10 m//s^(2)`

Text Solution

AI Generated Solution

To find the time period of the simple harmonic motion (SHM) of the floating tube, we can follow these steps: ### Step 1: Understand the System The system consists of a thin vertical tube with a weight of 12 g and an external diameter of 1 cm, which is floating in water. We have placed 12 g of mercury at the bottom of the tube. The total weight of the system is the weight of the tube plus the weight of the mercury. ### Step 2: Calculate the Total Weight The total weight (W) of the system is given by: \[ ...
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