Question

C. i. Two drums of the same size and height are taken.

i)What will be the difference in liquid pressure on their bases if A of them is completely filled and B is filled half and kept at the same place.

ii)What will be the difference in liquid pressure on their bases if both A and B are filled with water completely but one of them is kept in Lumbini and another in Pokhara? Why?

iii)what will be the difference in liquid pressure on their base of A is filled with water and B is filled with salty water and kept at Biratnagar in the same position. why?​

Answer 1

The answers are $\bf\frac{\rho gh}{2}$ , 0.002*ρh and 25gh.

Given:

Two drums of the same size and height.

To Find:

The difference in liquid pressure on their bases if A is completely filled and B is half-filled.

The difference in liquid pressure on their bases if both are completely filled but A is in Lumbini and B in Pokhara.

The difference in liquid pressure on their bases if A is filled with water and B is filled with salty water

Solution:

Let the density of water be ρ and the height of the drums be h.

Hence the pressure at the bottom of the bases is given by ρgh.

i) If A is completely filled, the pressure at the base is ρgh, while the pressure at the base of B is $\frac{\rho gh}{2}$.

Hence the difference between their pressures is $\bf\frac{\rho gh}{2}$  .

ii) Pokhara is at a height of 895 m above sea level. Hence the acceleration to the gravity at this height is 9.804.

Lumbini is at a height of 150 m above sea level. The acceleration due to gravity at this height is 9.806.

Hence the difference between their pressures is 0.002*ρh.

iii) The density of water is 1000.

The density of salty water is 1025.

Hence the difference between their pressures is 25gh.

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