A U-tube holds mercury. The mercury column, from one surface round the bend to the other, is 0.36 m…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A U-tube holds mercury. The mercury column, from one surface round the bend to the other, is long. One side is pressed down and let go. Find the period of the oscillation. Would it change if the mercury were replaced by water, with the same column length?
Need a reminder? The key ideaShow
Pull back in proportion to displacement gives SHM. U-tube with a liquid column of length : . Floating body with depth under the surface: . A body about a pivot, centre of mass from it:
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, compare your working with the solution.
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No, it would not change. The density cancels: a denser liquid has more mass to move, but also a larger pull back.
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