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Water is filled up to a height h in a be...

Water is filled up to a height h in a beaker of radius `R` as shown in the figure. The density of water is `rho`, the surface tension of water is `T` and the atmospheric presure is `p_(0)`. Consider a vertical section `ABCD `of the water column through a diameter of a beaker.The force on water on one side of this section by water on the other side of this section has magnitude

(a) `|2p_(0)Rh+pi R^(2)rho gh-2 RT|`
(b)`|2p_(0)Rh+R rho gh^(2)-2RT|`
(c ) `|p_(0)(pi) R^(2)+R rho gh^(2)-2RT|`
(d) `|p_(0)pi R^(2)+R rho gh^(2)+2RT|`.

A

`[2P_(0)Rh+piR^(2)rhogh-2RT]`

B

`[2P_(0)Rh+Rrhogh^(2)-2RT]`

C

`[P_(0)piR^(2)+Rrhogh^(2)-2RT]`

D

`[P_(0)piR^(2)+Rrhogh^(2)+2RT]`

Text Solution

Verified by Experts

The correct Answer is:
B
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