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A tank with a square base of area 1.0m^(...

A tank with a square base of area `1.0m^(2)` is divided by a vertical parition in the middle. The bottom of the partition has a small hinged door of area `20cm^(2)`. The tank is filled with water and an acid (of relative density 1.7) in the other, both to a height of `4.0m`. Compute to force necessary the force nec cessary to keep the door closed.

A

50 N

B

60 N

C

70 N

D

80 N

Text Solution

Verified by Experts

The correct Answer is:
C

`P_("acid")-P_("water")=(rho_("acid")-rho_w)xxgh`
`=(1.7xx10^3-10^3)xx10xx5`
`=3.5xx10^4Pa`
Area of the small door`=20cm^2=20xx10^(-4)m^2`
`:.` Force on the door =Area`xx(P_a-P_w)`
`=20xx10^(-4)xx3.5xx10^4=70N`
Thus to keep the door closed, a force of 70N must be applied from the side of water
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