When doubling the height of the water, what happens to the pressure?

When doubling the height of the water, what happens to the pressure?

• A. The pressure remains constant
• B. The pressure doubles
• C. The pressure decreases by half
• D. The pressure is tripled

Answer: (B)

Doubling the height of the water leads to a corresponding increase in pressure due to the fundamental relationship described by hydrostatic pressure principles. According to the equation for hydrostatic pressure, pressure increases linearly with depth in a fluid. The pressure at a specific depth in a fluid is given by the equation \( P = \rho gh \), where \( P \) is pressure, \( \rho \) is the fluid density, \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column above the point of measurement. When the height \( h \) is doubled, the pressure also doubles, assuming all other factors such as fluid density remain constant. This linear relationship illustrates that pressure is directly proportional to the height of the water column. Therefore, if the height of the water is increased from \( h \) to \( 2h \), the resulting pressure becomes \( 2P \) at that depth, confirming that the correct answer is that the pressure doubles.

Doubling the height of the water leads to a corresponding increase in pressure due to the fundamental relationship described by hydrostatic pressure principles. According to the equation for hydrostatic pressure, pressure increases linearly with depth in a fluid. The pressure at a specific depth in a fluid is given by the equation ( P = \rho gh ), where ( P ) is pressure, ( \rho ) is the fluid density, ( g ) is the acceleration due to gravity, and ( h ) is the height of the liquid column above the point of measurement.

When the height ( h ) is doubled, the pressure also doubles, assuming all other factors such as fluid density remain constant. This linear relationship illustrates that pressure is directly proportional to the height of the water column. Therefore, if the height of the water is increased from ( h ) to ( 2h ), the resulting pressure becomes ( 2P ) at that depth, confirming that the correct answer is that the pressure doubles.