Two beakers of different shapes are filled up with the same liquid up to the same height. Points I and II in one beaker lie at the same height as points III and IV respectively in the other beaker (as shown in the given figure).
Which of the following statements is incorrect regarding the pressures at points I, II, III,and IV?
Two beakers of different shapes are filled up with the same liquid up to the same height. Points I and II in one beaker lie at the same height as points III and IV respectively in the other beaker (as shown in the given figure).
Which of the following statements is incorrect regarding the pressures at points I, II, III,and IV?
The correct option is A Pressure at point I is greater than at point III
Pressure at any point in a liquid depends on the depth of the point from the liquid surface. In the given situation, the heights of the liquid in both beakers are the same. Therefore, the depth from the liquid surface for point I is the same as that for point III. This is also true for point II and IV. Therefore, the pressures are equal at points I and III and at points II and IV. Since points II and IV are at greater depth as compared to point I and III, pressures at point II and IV are also greater.
Therefore, among the given statements, only the statement in alternative A is incorrect.
Why alternative B is wrong:
Points II and IV lie at the same height. Therefore, pressures at these points are equal.
Why alternative C is wrong:
Point IV lies at a greater depth than point I. Therefore, pressure at point IV is greater than that at point I.
Why alternative D is wrong:
Point II lies at a greater depth than point I. Therefore, pressure at point II is greater than that at point III.
Pressure at point I is greater than at point III
Pressure at any point in a liquid depends on the depth of the point from the liquid surface. In the given situation, the heights of the liquid in both beakers are the same. Therefore, the depth from the liquid surface for point I is the same as that for point III. This is also true for point II and IV. Therefore, the pressures are equal at points I and III and at points II and IV. Since points II and IV are at greater depth as compared to point I and III, pressures at point II and IV are also greater.
Therefore, among the given statements, only the statement in alternative A is incorrect.
Why alternative B is wrong:
Points II and IV lie at the same height. Therefore, pressures at these points are equal.
Why alternative C is wrong:
Point IV lies at a greater depth than point I. Therefore, pressure at point IV is greater than that at point I.
Why alternative D is wrong:
Point II lies at a greater depth than point I. Therefore, pressure at point II is greater than that at point III.
