(a)
The distance from the top of the cylinder at which a mark is to be placed to indicate a specific gravity of
(a)
Answer to Problem 104P
The distance from the top of the cylinder at which a mark is to be placed to indicate a specific gravity of
Explanation of Solution
Write the expression for the Newton’s second law.
Here,
Write the expression for
Here,
Write the expression for
Here,
Write the expression for
Here,
Write the equation for the volume of the liquid displaced
Here,
Substitute the expression (IV) and (V) in expression (III).
Substitute the expression (VI) in expression (II) and finally in expression (I)
Conclusion:
Substitute
Substitute
Therefore, the distance from the top of the cylinder at which a mark is to be placed to indicate a specific gravity of
(b)
The specify gravity of the alcohol
(b)
Answer to Problem 104P
The specific gravity of the alcohols is
Explanation of Solution
Re-write the expression (VII) for
Conclusion:
Substitute
Therefore, the specific gravity of the alcohol is
(c)
The lowest specific gravity that can be measured with the given hydrometer.
(c)
Answer to Problem 104P
The lowest specific gravity that can be measured with the given hydrometer is
Explanation of Solution
The volume of the displaced liquid equals the volume of the hydrometer for lowest specific gravity that can be measured.
Here,
Thus, the term
Conclusion:
Substitute
Therefore, the lowest specific gravity that can be measured with the given hydrometer is
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Chapter 9 Solutions
Physics
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