Which of the following is TRUE for the pressure exerted by a liquid?a)...
Explanation:The correct answer is option 'D': At the same depth, pressure is the same in all directions.
Pressure in a liquid:When a liquid is at rest, it exerts pressure on the walls of its container and any object submerged in it. The pressure exerted by a liquid depends on the depth and density of the liquid, as well as the acceleration due to gravity.
Pressure is independent of depth of the liquid:Option 'A' states that pressure is independent of the depth of the liquid. However, this is not true. The pressure exerted by a liquid increases with depth. This is due to the weight of the liquid above causing more particles to press down on the particles below.
Pressure is always in the downward direction only:Option 'B' states that pressure is always in the downward direction only. This is also not true. Pressure is exerted in all directions in a liquid. The pressure at any point in a liquid is transmitted equally in all directions.
Pressure is exerted in all directions but downward pressure is greater than sideways pressure:Option 'C' states that pressure is exerted in all directions, but the downward pressure is greater than sideways pressure. This is also not true. The pressure in a liquid is the same in all directions at the same depth. This is known as Pascal's law, which states that pressure applied to a fluid is transmitted uniformly in all directions.
At the same depth, pressure is the same in all directions:Option 'D' is the correct answer. At the same depth in a liquid, the pressure is the same in all directions. This means that the pressure at the bottom of a container filled with liquid is the same as the pressure at the top or the sides. The pressure at any point in a liquid depends only on the depth of the liquid and the density of the liquid.
In conclusion:The correct statement regarding the pressure exerted by a liquid is that at the same depth, pressure is the same in all directions. This is because the pressure in a liquid is transmitted equally in all directions due to Pascal's law.