NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
NEET · Physics · Mechanical Properties of Fluids
Given below are two statements: one is labelled as Assertion (A)...
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 below the free surface and the density of the liquid, independent of the shape of the container.
In the light of the above statements, choose the most appropriate answer from the options given below:
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 below the free surface and the density of the liquid, independent of the shape of the container.
In the light of the above statements, choose the most appropriate answer from the options given below:
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 in a liquid of density is given by .
This pressure depends only on the depth from the free surface, the density of the liquid , and the acceleration due to gravity . 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 (A) true.
Reason (R) correctly states the principle that pressure is independent of the container's shape and depends only on depth and density, which is the exact explanation for the phenomenon described in the assertion. Therefore, both (A) and (R) are true, and (R) is the correct explanation of (A).
Answer: Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
This pressure depends only on the depth from the free surface, the density of the liquid , and the acceleration due to gravity . 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 (A) true.
Reason (R) correctly states the principle that pressure is independent of the container's shape and depends only on depth and density, which is the exact explanation for the phenomenon described in the assertion. Therefore, both (A) and (R) are true, and (R) is the correct explanation of (A).
Answer: Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)