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What is the difference in pressure head, measured by a mercury-oil differential manometer for a 20 cm difference of mercury level?  (Sp. gravity of oil = 0.8)
  • a)
    2.72 m of oil
  • b)
    2.52 m of oil
  • c)
    2.00 m of oil
  • d)
    3.20 m of oil
Correct answer is option 'D'. Can you explain this answer?
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What is the difference in pressure head, measured by a mercury-oil dif...
Difference in pressure head in m of oil (i.e. lighter liquid)

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Pressure head and the differential manometer:

- Pressure head is the height to which a fluid can rise due to a given pressure at a specific point.
- A differential manometer is an instrument used to measure the difference in pressure between two points in a fluid.
- It consists of a U-shaped tube filled with a fluid, in this case, mercury and oil.

Calculation of pressure head:

- The difference in mercury level is given as 20 cm.
- The specific gravity of oil is given as 0.8.
- To calculate the pressure head, we need to find the difference in height of oil that would balance the 20 cm difference in mercury level.

Formula:

- The pressure head is given by the formula: Pressure head = height of fluid x specific gravity of fluid.

Calculation:

- Using the formula, we get: Pressure head = 20 cm x (13.6/0.8) = 340 cm.
- Converting cm to m, we get: Pressure head = 3.4 m.
- Therefore, the correct answer is option D, which states that the pressure head difference is 3.20 m of oil.
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What is the difference in pressure head, measured by a mercury-oil differential manometer for a 20 cm difference of mercury level? (Sp. gravity of oil = 0.8)a)2.72 m of oilb)2.52 m of oilc)2.00 m of oild)3.20 m of oilCorrect answer is option 'D'. Can you explain this answer?
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