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An oil of specific gravity 0.9 is contained in a vessel. At a point the height of oil is 40m. Find the corresponding height of water at the point.

Question-AnswerCategory: Fluid MechanicsAn oil of specific gravity 0.9 is contained in a vessel. At a point the height of oil is 40m. Find the corresponding height of water at the point.
RK asked 1 year ago

An oil of specific gravity 0.9 is contained in a vessel. At a point the height of oil is 40m. Find the corresponding height of water at the point.

1 Answers
Sazid Ahmad answered 1 year ago

This question is based on Pascal’s Law. It states that pressure at any point in a fluid is always same in all directions.

Now,
This question can be solved by using the following formula :-
Height of water Intensity of pressure Density of water *g
Given,
Specific gravity of water (So) = 0.9
Height of oil ( Zo) = 40 m
Now,
Density of oil = Specific gravity of oil × density of water
=> 0.9 × 1000
=> 900 kg/m3
Intensity of pressure = Density of oil × g × height of oil
=> 900 × 9.8 × 40
=> 352800 N/m2
So, putting these values in above equation we get ,
Height of water 352800 1000 * 9.8
=> Height of water = 36 m
 

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