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Question

If a barometer is kept on the earth's surface then calculate the height of the barometer column h.
Atmospheric Pressure (Pa) is 105.
The density of mercury (ρm) is 13600 kg m3.
Gravitational acceleration (g) near earth's surface is 10 m s2.
  1. 64 cm
  2. 74 cm
  3. 84 cm
  4. 94 cm


Solution

The correct option is B 74 cm
Given:
Acceleration due to gravity, g=10 m s2
Density of mercury, ρm=13600 kg m3
Atmospheric Pressure, Pa=105 Pa

The weight of the liquid in the column balances the atmospheric pressure in the barometer.
ρmgh=Pa
13600×h×10=105
h=0.735 m74 cm

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