A tank with a square base of area 1.0 m' is divided by a vertical partition in the middle. The bottom of the partion has a small-hinged door of area 20 cm. The tank is filled with water in one compartment, and an acid ( of relative density 1.7) in the other, both to a height of 4.0 m compute the force necessary to keep the door close?

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A tank with a square base of area 1.0 m' is divided by a vertical partition in the middle. The bottom of the partion has a small-hinged door of area 20 cm. The tank is filled with water in one compartment, and an acid ( of relative density 1.7) in the other, both to a height of 4.0 m compute the force necessary to keep the door close?

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A tank with a square base of area 1.0 m' is divided by a vertical part...

Base area of the given tank, A = 1.0 m^2

Area of the hinged door, a = 20 cm^2 = 20 X 10–4 m^2

Density of water, ρ1 = 103 kg/m^3

Density of acid, ρ2 = 1.7 X 103 kg/m^3

Height of the water column, h1 = 4 m

Height of the acid column, h2 = 4 m

Acceleration due to gravity, g = 9.8

Pressure due to water is given as:

P1 = h1ρ1g

= 4 X 10^3 X 9.8 = 3.92 X 10^4 Pa

Pressure due to acid is given as:

P2 = h2ρ2g

= 4 X 1.7 X 10^3 X 9.8 = 6.664 X 10^4 Pa

Pressure difference between the water and acid columns:

ΔP = P2 – P1

= 6.664 X 10^4 – 3.92 X 10^4

= 2.744 X 10^4 Pa

Hence, the force exerted on the door = ΔP X a

= 2.744 X10^4 X 20 X 10^–4

= 54.88 N

Therefore, the force necessary to keep the door closed is 54.88 N.

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A tank with a square base of area 1.0 m' is divided by a vertical partition in the middle. The bottom of the partion has a small-hinged door of area 20 cm. The tank is filled with water in one compartment, and an acid ( of relative density 1.7) in the other, both to a height of 4.0 m compute the force necessary to keep the door close? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A tank with a square base of area 1.0 m' is divided by a vertical partition in the middle. The bottom of the partion has a small-hinged door of area 20 cm. The tank is filled with water in one compartment, and an acid ( of relative density 1.7) in the other, both to a height of 4.0 m compute the force necessary to keep the door close? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank with a square base of area 1.0 m' is divided by a vertical partition in the middle. The bottom of the partion has a small-hinged door of area 20 cm. The tank is filled with water in one compartment, and an acid ( of relative density 1.7) in the other, both to a height of 4.0 m compute the force necessary to keep the door close?.

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