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A beaker of height 1m is filled with water, and the system is at rest. The pressure is measured at two different points, which are marked as P1 and P2. Pressure P1 is measured at the top surface, and pressure P2 is measured at 1 m from the bottom surface. Identify the correct relation between P1 and P2. O P1 = P2, and both are not equal to 0 P1 > P2 O P1 < P2 O P1 = P2=0

A beaker of height 1m is filled with water, and the system is at rest. The pressure is measured at two different points, which are marked as P1 and P2. Pressure P1 is measured at the top surface, and pressure P2 is measured at 1 m from the bottom surface. Identify the correct relation between P1 and P2. O P1 = P2, and both are not equal to 0 P1 > P2 O P1 < P2 O P1 = P2=0

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Understanding Pressure in a Beaker of Water** A beaker with a height of 1 meter is filled with water, and the system is at rest. Pressure is measured at two different points: \( P_1 \) and \( P_2 \). Here’s how each is defined: - **\( P_1 \)**: This pressure is measured at the top surface of the water. - **\( P_2 \)**: This pressure is taken at a depth of 1 meter from the bottom surface. The task is to identify the correct relationship between \( P_1 \) and \( P_2 \). **Options for the Relationship:** 1. \( P_1 = P_2 \), and both are not equal to 0 2. \( P_1 > P_2 \) 3. \( P_1 < P_2 \) 4. \( P_1 = P_2 = 0 \) **Correct Answer: \( P_1 < P_2 \)** **Explanation:** In a fluid at rest, pressure increases with depth due to the weight of the fluid above. Therefore, the pressure at a depth of 1 meter (\( P_2 \)) is greater than the pressure at the surface (\( P_1 \)).
Transcribed Image Text:**Understanding Pressure in a Beaker of Water** A beaker with a height of 1 meter is filled with water, and the system is at rest. Pressure is measured at two different points: \( P_1 \) and \( P_2 \). Here’s how each is defined: - **\( P_1 \)**: This pressure is measured at the top surface of the water. - **\( P_2 \)**: This pressure is taken at a depth of 1 meter from the bottom surface. The task is to identify the correct relationship between \( P_1 \) and \( P_2 \). **Options for the Relationship:** 1. \( P_1 = P_2 \), and both are not equal to 0 2. \( P_1 > P_2 \) 3. \( P_1 < P_2 \) 4. \( P_1 = P_2 = 0 \) **Correct Answer: \( P_1 < P_2 \)** **Explanation:** In a fluid at rest, pressure increases with depth due to the weight of the fluid above. Therefore, the pressure at a depth of 1 meter (\( P_2 \)) is greater than the pressure at the surface (\( P_1 \)).
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