Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  Assertion (A): If a cube is placed in a liqui... Start Learning for Free
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 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?
Verified Answer
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

View all questions of this test
Most Upvoted Answer
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.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

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?
Question Description
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. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an 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.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev