NEETPhysicsMechanical Properties of Fluids
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The pressure exerted by water at the bottom of a conical flask and a cylindrical flask of the same base area and height is identical, even though they contain different amounts of water. Reason (R): The hydrostatic pressure at a point inside a liquid at rest depends only on the depth of the point b
Options
- ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
- CAssertion (A) is true but Reason (R) is false
- DAssertion (A) is false but Reason (R) is true
Correct answer
A. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
Step-by-step solution
The hydrostatic pressure at a depth h in a liquid of density is given by P = g h . This pressure depends only on the depth h from the free surface, the density of the liquid , and the acceleration due to gravity g . It does not depend on the shape of the container or the total volume of liquid present. This phenomenon is known as the hydrostatic paradox. Since both the conical flask and the cylindrical flask are filled with water to the same height, the pressure at their bottoms will be identical, making Assertion