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A horizontal pipe carries water in the positive direction of x increase in the positive x-direction. Small identical holes are made at three different places along the pipe such that stream from them come out vertically upwards. The height upto which the water stream rise from the three holes :
  • a)
    increase in the positive x-direction  
  • b)
    decrease in the positive x-direction 
  • c)
    are the same in all
  • d)
    are the same for the first two and less for the third hole
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A horizontal pipe carries water in the positive direction ofxincrease ...
From Bernoulli’s theorem, water coming out from all the holes has same speed. So, they will rise to the some height.
The correct answer is:  are the same in all
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Most Upvoted Answer
A horizontal pipe carries water in the positive direction ofxincrease ...
Explanation:

When water flows through a horizontal pipe, it experiences pressure due to the weight of the water above it. This pressure is known as hydrostatic pressure and is directly proportional to the depth of the water.

Hydrostatic Pressure:
The hydrostatic pressure at a particular point in a fluid is given by the equation:

P = P₀ + ρgh

Where:
P is the pressure at the point,
P₀ is the pressure at a reference point (usually taken as atmospheric pressure),
ρ is the density of the fluid,
g is the acceleration due to gravity, and
h is the height of the fluid column above the point.

Water Stream from the Holes:
In this case, the holes are made vertically upwards. When the water stream exits the holes, it is subject to the atmospheric pressure. Therefore, the pressure at the exit point of each hole is the same.

Since the pressure at the exit point is the same for all three holes, the height to which the water stream rises from each hole will also be the same. This is because the height of the water column above the exit point determines the pressure at that point, and the pressure is the same for all three holes.

Conclusion:
Based on the above explanation, the correct answer is option 'C'. The height to which the water stream rises from the three holes is the same.
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A horizontal pipe carries water in the positive direction ofxincrease in the positive x-direction. Small identical holes are made at three different places along the pipe such that stream from them come out vertically upwards. The height upto which the water stream rise from the three holes :a)increase in the positivex-directionb)decrease in the positivex-directionc)are the same in alld)are the same for the first two and less for the third holeCorrect answer is option 'C'. Can you explain this answer?
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