What is the length of liquid column in a barometer tube that would support an atmospheric pressure of 102000Nm-2 if the density of the liquid is 2600kgm-3? ...

Answer Details

The pressure of the atmosphere can be measured by using a barometer, which works by balancing the weight of a column of liquid against the atmospheric pressure. The height of the liquid column is directly proportional to the atmospheric pressure. The formula for calculating the height of the liquid column is h = P/(ρg), where h is the height of the liquid column, P is the atmospheric pressure, ρ is the density of the liquid, and g is the acceleration due to gravity. Substituting the given values in the above formula, we get: h = P/(ρg) = 102000/(2600 x 10) = 3.92m Therefore, the length of the liquid column in the barometer tube that would support an atmospheric pressure of 102000Nm^-2 if the density of the liquid is 2600kgm^-3 is 3.92m. Hence, the correct option is (c).