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A liquid of density rho is filled in a b...

A liquid of density `rho` is filled in a beaker of cross section `S` to a height `H` and then a cylinder of mass `m` and corss section `s` is made to float in it as shown in figure. It the atmospheric pressure is `p_(0)`, find the pressure a at the top face `A` of the cylinder `b` at the botom face `C` of the cylinder and c. at the base `B` of the beaker. Can ever these three pressures be equal?

Text Solution

Verified by Experts

a. Above the cros section `A`, there is external presue due to atmosphere only. So `p_(A) =` atmospheric pressure `=p_(0)`
b. At point `C` the pressure will be due to atmosphere and also due to the weight of the cylinder ie.
`p_(C)=p_(0)=(mg)/s`
c. If the system is in a state of free fall (as in a satellite) i.e, `grarr0`, then `p_(A) =p_(C)=P_(B)=P_(0)` [as weight `=0`]
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