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A tank with a square base of area $1 m^{2}$ is divided by a vertical partition has a small hinged door of area $2 m^{2}$ . The tank is filled with water in one compartment and an acid (of relative density 1.7) in another, both to the height of 4 m. Then the force necessary to keep door closed is,

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74.2 N

109.6 N

54.88N

27.44 N

answer is A.

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Detailed Solution

F = h (d_{1} - d_{2}) A

$= 4 (1.7 - 1) \times 10^{3} \times 9.8 \times 20 \times 10^{- 4}$

$= 4 \times 0.7 \times 9.8 \times 2 \times 10^{4} \times 10^{- 4}$

$= 4 \times 0.7 \times 9.8 \times 2$

$F = 54.88 N$

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