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Pressure exerted by a liquid on the base...

Pressure exerted by a liquid on the base of the container is due to its :

A

weight

B

mass

C

volume

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Pressure exerted by a liquid on the base of the container is due to its:", we need to analyze the factors that contribute to the pressure exerted by a liquid. ### Step-by-Step Solution: 1. **Understanding Pressure**: Pressure is defined as the force exerted per unit area. In the case of a liquid, the force exerted is due to the weight of the liquid above the point where we are measuring the pressure. 2. **Weight of the Liquid**: The weight of the liquid can be calculated using the formula: \[ \text{Weight} (W) = \text{mass} (m) \times \text{acceleration due to gravity} (g) \] Here, \( m \) is the mass of the liquid and \( g \) is approximately \( 9.81 \, \text{m/s}^2 \) on the surface of the Earth. 3. **Height of the Liquid Column**: The pressure at the base of the container is also influenced by the height of the liquid column above it. The greater the height, the more liquid there is above, and thus, the greater the pressure. 4. **Pressure Formula**: The pressure exerted by the liquid at the base of the container can be expressed using the formula: \[ P = \frac{W}{A} \] where \( P \) is the pressure, \( W \) is the weight of the liquid, and \( A \) is the area of the base of the container. 5. **Combining the Concepts**: Since the weight \( W \) can be expressed as \( mg \), we can substitute this into our pressure formula: \[ P = \frac{mg}{A} \] However, for a column of liquid, we can also express pressure in terms of height \( h \) of the liquid: \[ P = \rho g h \] where \( \rho \) is the density of the liquid. 6. **Conclusion**: The pressure exerted by the liquid on the base of the container is primarily due to its weight. Therefore, the correct answer to the question is that the pressure is due to the "weight" of the liquid. ### Final Answer: The pressure exerted by a liquid on the base of the container is due to its **weight**. ---

To solve the question "Pressure exerted by a liquid on the base of the container is due to its:", we need to analyze the factors that contribute to the pressure exerted by a liquid. ### Step-by-Step Solution: 1. **Understanding Pressure**: Pressure is defined as the force exerted per unit area. In the case of a liquid, the force exerted is due to the weight of the liquid above the point where we are measuring the pressure. 2. **Weight of the Liquid**: The weight of the liquid can be calculated using the formula: \[ ...
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