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?
Answers
The answers are , 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 .
Hence the difference between their pressures is .
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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