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Differential pressure head measured by mercury oil differential manometer (specific gravity of oil is 1.0) equivalent to a 600 mm difference of mercury levels will be nearly:
  • a)
    8.53 m of oil
  • b)
    7.56 m of oil
  • c)
    8.24 m of oil
  • d)
    7.23 m of oil
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Differential pressure head measured by mercury oil differential manome...
Manometer:
It is the device used for measuring pressure at a point in a fluid by balancing the column of fluid with the same or another column of liquid. manometers can be classified as follow:
1. simple manometer:
  • Piezometer.
  • U tube manometer.
  • Single column manometer.
2. Diffrential type mano meter:
A Differential type manometer is a type of manometer which is used to measure the pressure difference between two points in a pipe.
U - tube differential manometer:
case-1

The below figure shows a differential manometer whose two ends are connected with two different points A and B at the same and contain the same liquid.

Where,
h = Difference in mercury level in the U- tube.
h1 = Distance of center at A from mercury level at the right limb.
S1 = S2 =Speciic gravity of liquid at two points A and B.
S = specific gravity of heavy liquid or mercury in a U tube.
hA = Pressure head at A.
hB = Pressure head at B.
Difference in pressure head 
hA - hB = h(S - S1).
Case - 2:

The figure below shows a differential manometer whose two ends are connected with two different points A and B at different levels and containing different liquids.

Where,
h1 = Distance of the center of A from the mercury level at the left limb.
h2 = Distance of the center of B from the mercury level at the right limb.
S1 = Specific gravity of liquid in pipe A.
S2 = Specific gravity of liquid in pipe B.
The difference in pressure head at pint A and B.
hA - hB = h(S - S1) + h2S2 - h1S1.
Calculation:
Given:
S1 = 1.0
S = 13.6 (Specific gravity of mercury).
h = 600 mm.
Pressure difference = 600 × ( 13.6 - 1.0 ).
Pressure difference = 7560 mm = 7.56 m.
The correct answer is 7.56 m .
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Community Answer
Differential pressure head measured by mercury oil differential manome...
To determine the differential pressure head measured by the mercury oil differential manometer, we need to consider the specific gravity of the oil and the difference in the mercury levels.

Given:
Specific gravity of oil = 1.0
Difference in mercury levels = 600 mm

We can use the concept of hydrostatic pressure to calculate the equivalent pressure head of oil.

1. Calculate the pressure head of the mercury column:
The pressure head of the mercury column can be calculated using the equation:

Pressure head = Specific gravity of mercury x Difference in mercury levels

The specific gravity of mercury is approximately 13.6 times that of water, which gives us:

Pressure head of mercury column = 13.6 x 600 mm = 8160 mm

2. Convert the pressure head of the mercury column to meters:
To convert the pressure head from millimeters to meters, we divide by 1000:

Pressure head of mercury column = 8160 mm / 1000 = 8.16 m

3. Calculate the equivalent pressure head of oil:
Since the specific gravity of oil is 1.0 (same as water), the pressure head of the oil will be the same as the pressure head of the mercury column.

Therefore, the equivalent pressure head of oil will be approximately 8.16 meters.

Hence, the correct answer is option B) 7.56 m of oil.
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Differential pressure head measured by mercury oil differential manometer (specific gravity of oil is 1.0) equivalent to a 600 mm difference of mercury levels will be nearly:a)8.53 m of oilb)7.56 m of oilc)8.24 m of oild)7.23 m of oilCorrect answer is option 'B'. Can you explain this answer?
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