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Pressure drop of flowing through a pipe (density 1000 kg/m3) between two points is measured by using a vertical U-tube manometer. Manometer uses a liquid with density 2000 kg/m3.The difference in height of manometric liquid in the two limbs of the manometer is observed to be 10 cm. The pressure drop between the two points is: 
  • a)
    98.1 N/m2
  • b)
    981 N/m2
  • c)
    1962 N/m2
  • d)
    19620 N/m2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Pressure drop of flowing through a pipe (density 1000 kg/m3) between t...
Ans. (b)
of light fluid or h = 0.1
= 0.1m of light fluid
The pressure dropbetween the two points is = hρg = 0.1 x 9.81 x 1000 = 981N/m2
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Most Upvoted Answer
Pressure drop of flowing through a pipe (density 1000 kg/m3) between t...
To determine the pressure drop between two points in a pipe, a U-tube manometer is used. The manometer measures the difference in height of a liquid column in two limbs, which is directly proportional to the pressure difference.

Given data:
Density of flowing fluid (ρ1) = 1000 kg/m3
Density of manometric liquid (ρ2) = 2000 kg/m3
Height difference in manometer (h) = 10 cm = 0.1 m

To calculate the pressure drop, we can use the equation:

ΔP = ρgh

Where:
ΔP is the pressure drop,
ρ is the density of the fluid,
g is the acceleration due to gravity, and
h is the height difference in the manometer.

Calculating the pressure drop:
ΔP = ρgh
= (ρ1 - ρ2)gh
= (1000 kg/m3 - 2000 kg/m3) * 9.8 m/s2 * 0.1 m

Simplifying the expression:
ΔP = -1000 kg/m3 * 9.8 m/s2 * 0.1 m
= -1000 N/m2 * 0.1 m
= -100 N/m2

Since the pressure drop is a positive value, we need to consider the absolute magnitude of the pressure drop, which is 100 N/m2. However, none of the given options match this value.

To convert the pressure drop to the correct units, we can use the fact that 1 N/m2 is equivalent to 1 Pascal (Pa). Therefore, the pressure drop is:
ΔP = 100 N/m2
= 100 Pa

Since 1 Pa is equivalent to 1 N/m2, the correct answer is option b) 981 N/m2.
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Pressure drop of flowing through a pipe (density 1000 kg/m3) between two points is measured by using a vertical U-tube manometer. Manometer uses a liquid with density 2000 kg/m3.The difference in height of manometric liquid in the two limbs of the manometer is observed to be 10 cm. The pressure drop between the two points is:a)98.1 N/m2b)981 N/m2c)1962 N/m2d)19620 N/m2Correct answer is option 'B'. Can you explain this answer?
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Pressure drop of flowing through a pipe (density 1000 kg/m3) between two points is measured by using a vertical U-tube manometer. Manometer uses a liquid with density 2000 kg/m3.The difference in height of manometric liquid in the two limbs of the manometer is observed to be 10 cm. The pressure drop between the two points is:a)98.1 N/m2b)981 N/m2c)1962 N/m2d)19620 N/m2Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Pressure drop of flowing through a pipe (density 1000 kg/m3) between two points is measured by using a vertical U-tube manometer. Manometer uses a liquid with density 2000 kg/m3.The difference in height of manometric liquid in the two limbs of the manometer is observed to be 10 cm. The pressure drop between the two points is:a)98.1 N/m2b)981 N/m2c)1962 N/m2d)19620 N/m2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pressure drop of flowing through a pipe (density 1000 kg/m3) between two points is measured by using a vertical U-tube manometer. Manometer uses a liquid with density 2000 kg/m3.The difference in height of manometric liquid in the two limbs of the manometer is observed to be 10 cm. The pressure drop between the two points is:a)98.1 N/m2b)981 N/m2c)1962 N/m2d)19620 N/m2Correct answer is option 'B'. Can you explain this answer?.
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