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Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.
Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
- a)Both A and R are individually true and R is the correct explanation ofA
- b)Both A and R are individually true but R is not the correct explanationof A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): If a cube is placed in a liquid with two of its surface...
Option (d) is correct
Pressure on two surface having some distance between them and parallel to free surface are not same but there difference is equal to gρh where h=distance between two planes vertically
This question is part of UPSC exam. View all Mechanical Engineering courses
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Assertion (A): If a cube is placed in a liquid with two of its surface...
A. Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the free surface are the same.
B. Reason (R): Pascal's Law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
The given assertion and reason are about the pressure distribution on the surfaces of a cube placed in a liquid. Let's evaluate each statement individually to determine their validity and the relationship between them.
Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the free surface are the same.
When a fluid is at rest, the pressure at any given level is the same in all directions. In this case, the cube is placed in a liquid with two of its surfaces parallel to the free surface. Since the cube is at rest, the pressure on the surfaces in contact with the liquid will be equal to the pressure at the free surface. Therefore, Assertion (A) is true.
Reason (R): Pascal's Law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
Pascal's Law is a fundamental principle in fluid mechanics that states that when a fluid is at rest, the pressure is transmitted equally in all directions. This means that the pressure at any plane within the fluid will be the same regardless of its orientation or position. Therefore, Reason (R) is true.
Explanation of the relationship between the Assertion and Reason:
Both Assertion (A) and Reason (R) are individually true, but Reason (R) does not provide a correct explanation for Assertion (A). Pascal's Law applies to any plane within a fluid, not just the surfaces of a cube parallel to the free surface. The pressure on the surfaces parallel to the free surface of the liquid is the same because the cube is at rest and the pressure is transmitted equally in all directions according to Pascal's Law. However, Reason (R) does not specifically address the pressure distribution on the cube surfaces parallel to the free surface. Therefore, the correct answer is option 'D' - Assertion (A) is false, but Reason (R) is true.
B. Reason (R): Pascal's Law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
The given assertion and reason are about the pressure distribution on the surfaces of a cube placed in a liquid. Let's evaluate each statement individually to determine their validity and the relationship between them.
Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the free surface are the same.
When a fluid is at rest, the pressure at any given level is the same in all directions. In this case, the cube is placed in a liquid with two of its surfaces parallel to the free surface. Since the cube is at rest, the pressure on the surfaces in contact with the liquid will be equal to the pressure at the free surface. Therefore, Assertion (A) is true.
Reason (R): Pascal's Law states that when a fluid is at rest, the pressure at any plane is the same in all directions.
Pascal's Law is a fundamental principle in fluid mechanics that states that when a fluid is at rest, the pressure is transmitted equally in all directions. This means that the pressure at any plane within the fluid will be the same regardless of its orientation or position. Therefore, Reason (R) is true.
Explanation of the relationship between the Assertion and Reason:
Both Assertion (A) and Reason (R) are individually true, but Reason (R) does not provide a correct explanation for Assertion (A). Pascal's Law applies to any plane within a fluid, not just the surfaces of a cube parallel to the free surface. The pressure on the surfaces parallel to the free surface of the liquid is the same because the cube is at rest and the pressure is transmitted equally in all directions according to Pascal's Law. However, Reason (R) does not specifically address the pressure distribution on the cube surfaces parallel to the free surface. Therefore, the correct answer is option 'D' - Assertion (A) is false, but Reason (R) is true.
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Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?
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Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?.
Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): If a cube is placed in a liquid with two of its surfaces parallel to the free surface of the liquid, then the pressures on the two surfaces which are parallel to the freesurface, are the same.Reason (R): Pascal's law states that when a fluid is at rest, the pressure at any plane is the same in all directions.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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