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    Question

    The pressure at the bottom of a liquid tank is not proportional to the?

    A

    Acceleration due to gravity

    B

    Density of the liquid

    C

    Height of the liquid

    D

    Area of the liquid surface

    Medium Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is D)

    Pressure is a force per unit area. Pressure  in liquid increases with depth. Also it depend on the  bottom surface area ,where the bottom surface area is smaller than the top it will have higher pressure than wide bottom. This shows that pressure of a given place in inversely proportional to the area , pressure in the bottom of the tank does not depend factors such as the material of the tank.

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    स्रोत : www.toppr.com

    [Solved] The pressure at the bottom of a liquid tank is not proportio

    CONCEPT: The force per unit area is called pressure. The liquid above the surface of the container applies the pressure on the bottom surface. This pressure

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    The pressure at the bottom of a liquid tank is not proportional to the

    Acceleration due to gravity

    Density of the liquid

    Height of the liquid

    Area of the liquid surface

    Answer (Detailed Solution Below)

    Option 4 : Area of the liquid surface

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    Detailed Solution

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    CONCEPT:

    The force per unit area is called pressure.

    The liquid above the surface of the container applies the pressure on the bottom surface. This pressure is called fluid pressure.

    The fluid pressure at a depth h is given by:

    ⇒ Pressure (P) = ρ g h

    Where ρ is density of the fluid, g is acceleration due to gravity and h is height of the fluid above the surface of earth

    EXPLANATION:

    According to the formula of the fluid pressure;

    ⇒ Pressure (P) = ρ g h

    Pressure on the surface only depends on density of fluid, acceleration due to gravity and the height of the fluid. So options 1, 2 and 3 are wrong

    The pressure is independent of area of the liquid surface. So option 4 is correct.

    Download Solution PDF

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    स्रोत : testbook.com

    The pressure at the bottom of a liquid tank is not proportional to the

    The pressure at the bottom of a liquid tank is, P=P("atm")+rhogh where, P("atm") = atmospheric pressure rho = density of the liquid g = acceleration due to gravity h = height of the liquid Thus, it is independent of the area of the liquid surface.

    Home > English > Class 12 > Physics > Chapter > Karnataka Cet 2018 >

    The pressure at the bottom of ...

    The pressure at the bottom of a liquid tank is not proportional to the

    Updated On: 27-06-2022

    ( 00 : 22 ) ADVERTISEMENT Text Solution Open Answer in App A

    acceleration due to gravity

    B

    density of the liquid

    C

    height of the liquid

    D

    area of the liquid surface.

    Answer

    The correct Answer is D

    Solution

    The pressure at the bottom of a liquid tank is, `P=P_("atm")+rhogh`

    where,

    `P_("atm")` = atmospheric pressure

    `rho` = density of the liquid

    g = acceleration due to gravity

    h = height of the liquid

    Thus, it is independent of the area of the liquid surface.

    Answer

    Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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