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The dimensions of a rectangular vessel a...

The dimensions of a rectangular vessel are `2mxx 2mxx 1m`. lt is completely filled with water. What is the total force acting against any vertical face ?
`[rho_("water")=10^3kg//m^3`

A

`4.9xx10^3`N

B

`9.8xx10^3` N

C

`7.5xx10^2` N

D

`12.5xx10^3` N

Text Solution

Verified by Experts

The correct Answer is:
B
The area of any vertical face`=2xx1=2m^2`
For finding the pressure of the liquid at a point on a vertical wall, we consider the average height `(h/2)` of the liquid column. At the top of h=0 and at the bottom, h=h.
`:.` Pressure=`rhog(h/2)`
`:.` Force=Pressure`xx`Area
`=(rhoh/2)xxA=10^3xx9.8xx0.5xx2`
`:." "F=9.8xx10^3N`
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