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The equation for pressure is...

The equation for pressure is

A

hg/d

B

hdg

C

hd/g

D

h/dg

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The correct Answer is:
To find the equation for pressure in a fluid, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Pressure**: Pressure is defined as the force exerted per unit area. In the context of fluids, pressure increases with depth due to the weight of the fluid above. 2. **Identify the Variables**: - Let \( \rho \) (or \( D \) as given in the options) be the density of the liquid. - Let \( g \) be the acceleration due to gravity. - Let \( h \) be the height of the liquid column above the point where pressure is being measured. 3. **Use the Formula for Pressure in a Fluid**: The formula for pressure at a depth \( h \) in a fluid is given by: \[ P = \rho g h \] Here, \( P \) is the pressure, \( \rho \) is the density of the liquid, \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column. 4. **Modify the Formula According to Given Options**: In the problem, the density is represented as \( D \) instead of \( \rho \). Therefore, we can rewrite the pressure formula as: \[ P = D g h \] 5. **Identify the Correct Option**: From the options provided, we need to find which one matches our derived formula \( P = D g h \). - The correct option is the one that states \( P = D g h \). ### Conclusion: The equation for pressure in a fluid at a depth \( h \) is: \[ P = D g h \] where \( D \) is the density of the liquid, \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column. ---

To find the equation for pressure in a fluid, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Pressure**: Pressure is defined as the force exerted per unit area. In the context of fluids, pressure increases with depth due to the weight of the fluid above. 2. **Identify the Variables**: ...
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MTG IIT JEE FOUNDATION-THRUST AND PRESSURE-Exercise (Multiple choice questions)
  1. The SI unit of thrust is

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  2. The equation for pressure is

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  3. Fluids are

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  4. In verifying Archimedes' principle, which of the following readings is...

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  5. Buoyant force acting on an object is equal to the

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  6. An air bubble rises up in water because pressure acting on air bubble,

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  7. When a body of density d(1) and volume V is floating in a liquid of de...

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  8. If the density of a liquid increases, the buoyant force will

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  9. Pressure exerted by a liquid on a container (in which it is enclosed) ...

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  10. A body weight 40 g in air. If its volume is 10 cm^3, in water it will ...

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  11. If the density of aluminium is 2700 "kg m"^(-3), then its value in the...

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  12. The SI unit of relative density is:

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  13. A sample of metal weighs 210 g in air , 180 in water , and 120 in liqu...

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  14. A piston of cross-sectional area 100 cm^(2) is used in a hydraulic pre...

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  15. Buoyant force exerted by different fluids on a given body is

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  16. Which of the following statements is wrong ?

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  17. Voyager balloons are filled with hydrogen to move up . As it goes up

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  18. The apparent weight of wood floating on water if it weights 100 g in a...

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  19. If the density of wood is 1500 kg m ^-3 , then its relative density ...

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  20. If the density of iron is 7900 "kg m"^(-3) , then its relative density...

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