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Question

Complete the following sentence.

A hydrometer floats with half of its stem outside the water surface. It is now placed in alcohol (Relative Density =0.8). The hydrometer floats with_____ than half stem inside the alcohol.

A
more
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B
less
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C
same
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D
insufficient data
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Solution

The correct option is A more
A hydrometer is a device used to measure the relative density of liquids.
The relative density of the liquid is measured by reading the markings on the hydrometer at the point where the stem crosses the surface of the fluid.
According to Archimedes Principle, the buoyant force experienced by an object is equal to the mass of the fluid displaced by it.
Since the relative density of alcohol is less than 1 => alcohol is less dense than water.
Therefore, more amount of alcohol than water will have to be displaced in order to support the mass of the hydrometer.
This implies that a larger part of the hydrometer should be submerged in alcohol, therefore more than half stem of the hydrometer will be inside alcohol.
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