Hydrostatics, Length of a mercury column

In summary, hydrostatics is the study of fluids at rest and the forces acting on them. In this field, the height of a fluid column is directly proportional to the pressure exerted by the fluid, known as Pascal's law. The length of a mercury column in a barometer is used to measure atmospheric pressure, which is standardized to represent a unit of pressure called the atmosphere (atm). As the length of the mercury column increases, atmospheric pressure decreases due to the weight of the column creating a vacuum. Mercury is commonly used in barometers because it is a dense liquid that produces a larger change in height for a given change in pressure, making it a more sensitive and accurate choice for measuring atmospheric pressure.
  • #1
Ishraq Begum
13
3

Homework Statement


What will be the length of mercury column in a barometer tube, when the atmospheric pressure is 75 cm of mercury and the tube is inclined at an angle of 60° with the horizontal direction?

Homework Equations


Pascal's Law

The Attempt at a Solution


l ⋅ sinϑ = h
l = h / sinϑ
l = h / sin 60
l = 75 / 0.86
l = 87.2
but the correct answer given in the textbook is 86.6
 
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  • #2
Use more significant figures for intermediate calculations. Only round results at the end.
 
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1. What is hydrostatics?

Hydrostatics is the study of the behavior of fluids at rest and the forces acting on them.

2. How is the length of a mercury column related to hydrostatics?

In hydrostatics, the height of a fluid column is directly proportional to the pressure exerted by that fluid. This relationship is known as Pascal's law and can be observed in the length of a mercury column in a barometer.

3. What is the significance of the length of a mercury column?

The length of a mercury column in a barometer is used to measure atmospheric pressure. It has been standardized to represent a unit of pressure known as the atmosphere (atm).

4. How is atmospheric pressure affected by the length of a mercury column?

As the length of the mercury column increases, the atmospheric pressure decreases. This is because the weight of the mercury column exerts a downward force on the surface of the mercury in the barometer, creating a vacuum above it.

5. Why is mercury commonly used in barometers?

Mercury is a dense liquid and produces a larger change in height for a given change in pressure compared to other liquids. This makes it a more sensitive and accurate choice for measuring atmospheric pressure.

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