Question

Fig. shows a container filled with water. Which of the following statements is correct about the pressure of water?

• A. $PressureA>PressureB>PressureC$
• B. $PressureA=PressureB=PressureC$
• C. $PressureA<PressureB>PressureC$
• D. $PressureA<PressureB<PressureC$

Answer 1

The correct option is D

$PressureA<PressureB<PressureC$

Correct Option: Option D

1. The pressure of a fluid in a container at a point is given by the formula $P=h\rho g$, where $h$ is the depth of the point, $\rho$ is the density of the liquid and $g$ is the acceleration due to gravity.
2. Thus, the pressure at a point is directly proportional to the depth $P\propto h$.
3. Clearly from the figure, $depthatA<depthatB<depthatC$.
4. Therefore, $PressureA<PressureB<PressureC$.

Incorrect options:

Option A

The pressure increases with depth and $depthatA<depthatB<depthatC$. So, this option is incorrect.

Option B

The pressure increases with depth and does not remain the same for three points that are not at the same depth. So, this option is incorrect.

Option C

The pressure increases with depth and $depthatA<depthatB<depthatC$. So, this option is incorrect.

Hence, option D is correct.