Which of the following statements is true about the variation of pressure in function of the depth? o pressure decreases exponentially with the depth o pressure increases exponentially with the depth o pressure decreases linearly with the depth o pressure increases linearly with the depth o none of the above

The answer is: Pressure increases linearly with the depth

Explanation:

In this case, the definition of pressure is:

where F = mg is the weight of the fluid over the body, and A is the area of the surface to which the force is exerted. If we consider , then

.

Volume can be expressed as V = A*h, where A is the cross section of the column of the fluid over the body and h is the height of the column, in other words, the depth.

So

,

which means that pressure increases linearly with the depth in a factor of .

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