Concept explainers
(a)
The length of the water column in the right arm of the U-tube.
(a)
Answer to Problem 14.22P
The length of the water column in the right arm of the U-tube is
Explanation of Solution
Given info: The cross sectional area
The formula to calculate the variation of pressure of the liquid with respect to the depth of the fluid is,
Here,
Write the expression for the volume of the water column.
Here,
The formula to calculate the density of the water is,
Here,
Substitute
Rearrange the above equation for the
Substitute
Conclusion:
Therefore, the length of the water column in the right arm of the U-tube is
(b)
The rise in the length of the mercury column in the left arm of the U-tube.
(b)
Answer to Problem 14.22P
The rise in the length of the mercury column in the left arm of the U-tube is
Explanation of Solution
Given info: The cross sectional area
Consider the height of the height of the left tube be
The volume of mercury on the left arm of the tube is equal to the right arm of the tube.\
Here,
Rearrange the above equation.
The pressure of the right tube is,
The pressure of the left tube is,
Here,
The pressure on the both the arm of the tube is same.
Compare the equation (1) and (2).
Substitute
Substitute
Conclusion:
Therefore, the rise in the length of the mercury column in the left arm of the U-tube is
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Chapter 14 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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