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An U-tube manometer shows a height difference of z1 between the two columns for a known gauge
pressure P1 (both z1 and P1 in appropriate units). If the height difference between the two columns
is 2z1, then the corresponding gauge pressure will be:
  • a)
    P1/2
  • b)
    2P1
  • c)
    P1
  • d)
    4P1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An U-tube manometer shows a height difference of z1 between the two co...
Explanation:

Given:
- Height difference between the two columns for known gauge pressure P1 is z1.

Formula:
- The gauge pressure difference between the two columns in a U-tube manometer is directly proportional to the difference in height between the columns.

Calculation:
- Given z1 for P1
- If the height difference between the two columns is 2z1, the corresponding gauge pressure will be 2P1.
- Therefore, the correct answer is option 'B' which is 2P1.

Conclusion:
- The gauge pressure in the manometer is directly proportional to the height difference between the two columns. If the height difference doubles, the gauge pressure also doubles.
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