The height of water-filled manometer must be about 4.08 m
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Further explanation
Let's recall Hydrostatic Pressure formula as follows:
[tex]\boxed{ P = \rho g h}[/tex]
where:
P = hydrosatic pressure ( Pa )
ρ = density of fluid ( kg/m³ )
g = gravitational acceleration ( m/s² )
h = height of a column of liquid ( m )
Let us now tackle the problem!
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Given:
density of water = ρ_w = 1000 kg/m³
density of mercury = ρ_m = 13600 kg/m³
height of mercury column = h_m = 300 mm = 0.3 m
Asked:
height of water column = h_w = ?
Solution:
We will use this following formula to solve this problem:
[tex]\texttt{Hydrostatic Pressure of Water = Hydrostatic Pressure of Mercury}[/tex]
[tex]\rho_w g h_w = \rho_m g h_m[/tex]
[tex]\rho_w h_w = \rho_m h_m[/tex]
[tex]h_w = \frac{\rho_m}{ \rho_w }\ h_m[/tex]
[tex]h_w = \frac{13600}{ 1000 } \times 0.3[/tex]
[tex]h_w = 4.08 \texttt{ m}[/tex]
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Conclusion :
The height of water-filled manometer must be about 4.08 m
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Learn more
- Buoyant Force : https://brainly.com/question/13922022
- Kinetic Energy : https://brainly.com/question/692781
- Volume of Gas : https://brainly.com/question/12893622
- Impulse : https://brainly.com/question/12855855
- Gravity : https://brainly.com/question/1724648
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Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
