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Assertion (A): U-tube manometer connected to a venturimeterfitted in a pipeline can measure the velocity through the pipe.
Reason (R): U-tube manometer directly measures dynamic and static heads.
Reason (R): U-tube manometer directly measures dynamic and static heads.
- a)Both A and R are individually true and R is the correct explanation ofA
- b)Both A and R are individually true but R is not the correct explanationof A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): U-tube manometer connected to a venturimeterfitted in a...
Assertion (A): U-tube manometer connected to a venturimeter fitted in a pipeline can measure the velocity through the pipe.
Reason (R): U-tube manometer directly measures dynamic and static heads.
Explanation:
To understand the given assertion and reason, let's first understand the working principle of a venturi meter and a U-tube manometer.
Venturi Meter:
A venturi meter is a device used to measure the flow rate of fluid in a pipeline. It consists of a converging section, a throat, and a diverging section. When the fluid flows through the venturi meter, its velocity increases in the converging section, reaches a maximum at the throat, and then decreases in the diverging section. The pressure difference between the throat and the converging section is measured to determine the flow rate.
U-tube Manometer:
A U-tube manometer is a device used to measure pressure differences between two points in a pipe or a system. It consists of a U-shaped glass tube partially filled with a liquid (usually a manometer fluid). The height difference of the liquid columns in the two arms of the U-tube indicates the pressure difference.
Understanding the assertion and reason:
Assertion (A): U-tube manometer connected to a venturimeter fitted in a pipeline can measure the velocity through the pipe.
This assertion is true. When a U-tube manometer is connected to a venturi meter, it can measure the pressure difference between the throat and the converging section. This pressure difference is directly related to the velocity of the fluid flowing through the venturi meter. By using appropriate equations and calibration, the velocity of the fluid can be determined.
Reason (R): U-tube manometer directly measures dynamic and static heads.
This reason is also true. A U-tube manometer directly measures the dynamic head and static head of a fluid. The dynamic head refers to the kinetic energy of the fluid due to its velocity, while the static head refers to the potential energy of the fluid due to its height above a reference point. The pressure difference measured by the U-tube manometer can be used to calculate these heads, which are directly related to the velocity of the fluid.
Conclusion:
Both the assertion and the reason are individually true, and the reason is the correct explanation of the assertion. The U-tube manometer connected to a venturi meter can measure the velocity through the pipe by directly measuring the dynamic and static heads.
Reason (R): U-tube manometer directly measures dynamic and static heads.
Explanation:
To understand the given assertion and reason, let's first understand the working principle of a venturi meter and a U-tube manometer.
Venturi Meter:
A venturi meter is a device used to measure the flow rate of fluid in a pipeline. It consists of a converging section, a throat, and a diverging section. When the fluid flows through the venturi meter, its velocity increases in the converging section, reaches a maximum at the throat, and then decreases in the diverging section. The pressure difference between the throat and the converging section is measured to determine the flow rate.
U-tube Manometer:
A U-tube manometer is a device used to measure pressure differences between two points in a pipe or a system. It consists of a U-shaped glass tube partially filled with a liquid (usually a manometer fluid). The height difference of the liquid columns in the two arms of the U-tube indicates the pressure difference.
Understanding the assertion and reason:
Assertion (A): U-tube manometer connected to a venturimeter fitted in a pipeline can measure the velocity through the pipe.
This assertion is true. When a U-tube manometer is connected to a venturi meter, it can measure the pressure difference between the throat and the converging section. This pressure difference is directly related to the velocity of the fluid flowing through the venturi meter. By using appropriate equations and calibration, the velocity of the fluid can be determined.
Reason (R): U-tube manometer directly measures dynamic and static heads.
This reason is also true. A U-tube manometer directly measures the dynamic head and static head of a fluid. The dynamic head refers to the kinetic energy of the fluid due to its velocity, while the static head refers to the potential energy of the fluid due to its height above a reference point. The pressure difference measured by the U-tube manometer can be used to calculate these heads, which are directly related to the velocity of the fluid.
Conclusion:
Both the assertion and the reason are individually true, and the reason is the correct explanation of the assertion. The U-tube manometer connected to a venturi meter can measure the velocity through the pipe by directly measuring the dynamic and static heads.
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Assertion (A): U-tube manometer connected to a venturimeterfitted in a pipeline can measure the velocity through the pipe.Reason (R): U-tube manometer directly measures dynamic and static heads.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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