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We have to determine what would happen to the height of mercury column if the atmospheric pressure is increased.
A barometer is a device that is used to measure air pressure.
It consists of a tube filled with mercury and placed inverted into a tub or mercury. The pressure exerted on the surface of the mercury supports the mercury column to a particular height.
The pressure is related to the height of the mercury column by this formula:
A mercury barometer.
What happens to h the height of the mercury column, if the atmospheric pressure increases?