1.

A rectangular vessel is filled with water and oil in equal proportion (by volume), the oil being twice lighter than water. Show that the force on ach side wall of the vessel will be reduced by one fifth it the vessel is filled only with oil. (Assume atmospheric pressrue is negligible)

Answer» Initially `[(0 + rhoga)/(2)] (a)^(2) + [(rhoga + 3rhoga)/(2)] (a^(2)) = 2.5 rhoga^(2)`
Finally `[(0 + rhoga)/(2)] (2a^(2)) = 2rhoga^(3)`
Difference `= 0.5 rhoga^(3)` [Which is one fifth of initial]


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