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The difference in pressure head, measured by a mercury water differential memo meter for a 20 cm difference of mercury level, will be:
  • a)
    2.72 m
  • b)
    2.52 m
  • c)
    2.0 m
  • d)
    0.2 m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The difference in pressure head, measured by a mercury water differen...
Pressure difference
For water
Hence h = 2.72 m
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Most Upvoted Answer
The difference in pressure head, measured by a mercury water differen...


Calculation of Pressure Head Difference:

To calculate the pressure head difference using a mercury water differential manometer, we can use the formula:

Pressure head difference = (ρ * g * h) / 100

Where:
ρ = density of mercury = 13,600 kg/m^3
g = acceleration due to gravity = 9.81 m/s^2
h = height difference in mercury levels = 20 cm = 0.2 m

Calculation:

Plugging in the values:

Pressure head difference = (13,600 * 9.81 * 0.2) / 100
Pressure head difference ≈ 53.328 N/m^2

Converting this pressure head difference to millibars (mb), we use the conversion factor:
1 N/m^2 = 0.01 mb

Therefore, the pressure head difference in millibars will be:
Pressure head difference ≈ 53.328 * 0.01 ≈ 0.533 mb

Conclusion:

The correct option is 'A', which states that the pressure head difference will be approximately 0.53 mb for a 20 cm difference in mercury level.
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The difference in pressure head, measured by a mercury water differential memo meter for a 20 cm difference of mercury level, will be:a)2.72 mb)2.52 mc)2.0 md)0.2 mCorrect answer is option 'A'. Can you explain this answer?
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