Question

What is the relation between liquid pressure and the depth of a liquid?
A. Directly proportional
B. Inversely Proportional
C. Liner
D. None of these

Answer 1

Hint: When we sit on a flight our years might pop or when we dive in a swimming pool we might feel an ache , the reason behind these things is the effect of depth on pressure in a liquid . On the surface of the earth the pressure which we experience is a result of the weight of air above us . As we climb up , that is the altitude increases the pressure is reduced because the air above us decreases .

Complete step by step answer: As the depth of a liquid increases the pressure auto increases this is due to the greater column of water that pushes down the object which is samast in the liquid or we can say that when objects are lifted the depth decreases and so the pressure is reduced .
Hence we can say that depth of a liquid and pressure are directly proportional to each other .
The relationship between liquid pressure and the depth of a liquid.
Pressure at depth $'h'$ = density of liquid $ \times $ acceleration due to gravity $'g'$ $ \times $ depth $'h'$
If we Double the depth, we Double the pressure.
Correct answer is (A).

Additional Information: Boyle’s law states that At constant temperature for a fixed amount of gas the pressure of a gas is inversely proportional to its volume or we can say that the product of pressure and volume is a constant $\left( {PV = K} \right)$. While Boyle’s law refers to gases, it is significant to recall that both gases and liquids are fluids, and follow the same rules of behavior.

Note: Pressure $\left( P \right)$ is defined as the normal force $'f'$ and per unit area $'A'$ over which the force is applied, or
$\rho = \dfrac{F}{A}$
To defined the pressure at a specific point, The pressure is defined as the force $df$ exerted by a fluid over an infinitesimal element of $dA$ containing the point, resulting in
$P = \dfrac{{dF}}{{dA}}$