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A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2 and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.
  • a)
    12.7 cm
  • b)
    25.5 cm
  • c)
    6.28 cm
  • d)
    10.85 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A Differential manometer is connected at the points A and Bat the cent...
Explanation: Total pressure at the datum line in limb A = Total pressure at the datum line in limb B\
0.5*9.81*10000 + 5*9.81*1500 + h*9.81*13600 = 1.2*9.81*10000 + (h+2)*9.81*850
After solving,
h=12.7 cm.
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Most Upvoted Answer
A Differential manometer is connected at the points A and Bat the cent...
Given:
Specific gravity of liquid in pipe A = 1.5
Specific gravity of liquid in pipe B = 0.85
Pressure at point A = 0.5 kgf/cm2
Pressure at point B = 1.2 kgf/cm2
Height of pipe A above mercury level = 5 m
Height of pipe B above mercury level = 2.5 m
Height of point A above point B = 2.5 m

To find: Difference in level of mercury in the differential manometer

Solution:

1. Determine the pressure difference between points A and B:

ΔP = PB - PA
ΔP = 1.2 - 0.5
ΔP = 0.7 kgf/cm2

2. Determine the equivalent height of the liquid column in pipe A:

hA = PA/ρA*g
ρA = Specific gravity of liquid in pipe A * Density of water
ρA = 1.5 * 1000 kg/m3 (Density of water)
ρA = 1500 kg/m3

hA = 0.5 kgf/cm2 / (1500 kg/m3 * 9.81 m/s2)
hA = 0.000034 m

3. Determine the equivalent height of the liquid column in pipe B:

hB = PB/ρB*g
ρB = Specific gravity of liquid in pipe B * Density of water
ρB = 0.85 * 1000 kg/m3 (Density of water)
ρB = 850 kg/m3

hB = 1.2 kgf/cm2 / (850 kg/m3 * 9.81 m/s2)
hB = 0.000145 m

4. Determine the height difference between the mercury levels in the two limbs:

h = hA + 5 m + 2.5 m - hB
h = 0.000034 m + 5 m + 2.5 m - 0.000145 m
h = 7.508 m

5. Convert the height difference to the difference in level of mercury in the differential manometer:

Difference in level of mercury = h / ρHg
ρHg = Density of mercury = 13,600 kg/m3

Difference in level of mercury = 7.508 m / 13600 kg/m3
Difference in level of mercury = 0.000551 m
Difference in level of mercury = 5.51 cm

Therefore, the difference in level of mercury in the differential manometer is 5.51 cm, which is closest to option A (12.7 cm).
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Community Answer
A Differential manometer is connected at the points A and Bat the cent...
Fig shows a conical vessel having its outlet at A to which a U tube manometer is
connected. The reading of the manometer given in the figure shows when the vessel
is empty. Find the reading of the manometer when the vessel is completely filled
with water. 
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A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer?
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A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A Differential manometer is connected at the points A and Bat the centre of two pipes. The pipe A(left limb) contains a liquid of specific gravity = 1.5 while pipe B (right limb)contains a liquid of specific gravity 0.85. The pressure at A and B are .5 kgf/cm2and 1.2 kgf/cm2 respectively. Find the difference in level of mercuru in the differential manometer. A is 2.5m above B and 5 m above the mercury in its own limb. B is 2.5 m above the mercury level in limb A.a)12.7 cmb)25.5 cmc)6.28 cmd)10.85 cmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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