The mercury column in a simple mercury barometer is of height 5m above the mercury in a reservoir. If the tube is replaced with one whose radius is twice that of the first tube, what will be the height of the mercury column in the new tube?
2.5m
5.0m
7.5m
10.0m
20.0m
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The correct answer is:
B. 5.0 m
Explanation:
A simple mercury barometer measures atmospheric pressure based on the height of a mercury column. The height of the mercury column is given by the equation:
P = pg h
where:
is the atmospheric pressure (constant in both cases),
is the density of mercury (constant),
is the acceleration due to gravity (constant),
is the height of the mercury column.
Since atmospheric pressure remains the same, the height of the mercury column does not depend on the radius of the tube. Even if the radius of the tube is doubled, the height remains the same at 5.0 m.

The answer is meant to be B. 5m. The height remains the same because the pressure is unchanged.


