Equal mass of three liquids are kept in three identical cylindrical vessel A,B and C. The densities are ρA< ρB< ρC.The force on the base will be
Question
Equal mass of three liquids are kept in three identical cylindrical vessel A,B and C. The densities are ρA< ρB< ρC.The force on the base will be
Solution
The force on the base of each cylindrical vessel is given by the equation F = ρghA, where:
- F is the force,
- ρ is the density of the liquid,
- g is the acceleration due to gravity, and
- h is the height of the liquid.
Since the mass and volume of each liquid are the same, the height of the liquid in each vessel will be inversely proportional to its density. This means that hA > hB > hC.
Therefore, the force on the base of each vessel will be the same, because the increase in density from A to B to C is offset by the decrease in height.
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