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In order to increase sensitivity of U-tube manometer, one leg is usually inclined by angle θ, sensitivity of inclined tube to sensitivity of U-tube equal to

  • a)
    sinθ

  • b)
    1/sinθ

  • c)
    cosθ

  • d)
    1/cosθ

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In order to increase sensitivity of U-tube manometer, one leg is usual...
The correct answer is option 'B', 1/sinθ.
An inclined leg of a U-tube manometer increases the sensitivity of the instrument by amplifying the change in height of the liquid column in one of the legs. This is because the change in the height of the liquid column in the inclined leg is greater than the change in the height of the liquid column in the vertical leg for a given change in pressure.
The sensitivity of the inclined tube is related to the sensitivity of the U-tube by the ratio of the length of the inclined leg to the length of the vertical leg. This ratio is equal to 1/sinθ. Thus, the sensitivity of the inclined tube is 1/sinθ times the sensitivity of the U-tube.
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Most Upvoted Answer
In order to increase sensitivity of U-tube manometer, one leg is usual...
The angle by which one leg is inclined is typically 45 degrees. This allows for a longer and more sensitive displacement of the fluid in the manometer, making it easier to read small pressure differences.
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In order to increase sensitivity of U-tube manometer, one leg is usually inclined by angle θ, sensitivity of inclined tube to sensitivity of U-tube equal toa)sinθb)1/sinθc)cosθd)1/cosθCorrect answer is option 'B'. Can you explain this answer?
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