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Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.
Reason (R): Centre of pressure lies above the centre of area of the immersed surface.
- 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 'C'. Can you explain this answer?
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Assertion (A): For a vertically immersed surface, the depth of the cen...
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Assertion (A): For a vertically immersed surface, the depth of the cen...
Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.
Reason (R): Centre of pressure lies above the centre of area of the immersed surface.
The correct answer to this question is option 'C' - A is true but R is false.
Explanation:
Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.
When a surface is immersed in a fluid, it experiences a force called the hydrostatic force or buoyant force. This force acts vertically upwards and is equal to the weight of the fluid displaced by the submerged surface. The point where this force is considered to act is known as the center of pressure.
The depth of the center of pressure depends on the shape and orientation of the immersed surface, as well as the density of the fluid. For a vertically immersed surface, the center of pressure is located at a depth depending on the shape and size of the surface. The density of the fluid affects the magnitude of the hydrostatic force, but it does not affect the position of the center of pressure. Therefore, assertion (A) is true.
Reason (R): Center of pressure lies above the center of area of the immersed surface.
The center of area of a surface is the geometric center or the centroid of the surface. For a vertically immersed surface, the center of area is located at the midpoint of the vertical height of the surface.
However, the center of pressure does not necessarily coincide with the center of area. The position of the center of pressure depends on the distribution of pressure on the surface due to the hydrostatic force. It is influenced by factors such as the shape and orientation of the surface, and the distribution of the fluid pressure. In general, the center of pressure is not located exactly above the center of area. Therefore, the reason (R) is false.
In conclusion, the assertion (A) is true, but the reason (R) is false. Therefore, option 'C' is the correct answer.
Reason (R): Centre of pressure lies above the centre of area of the immersed surface.
The correct answer to this question is option 'C' - A is true but R is false.
Explanation:
Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.
When a surface is immersed in a fluid, it experiences a force called the hydrostatic force or buoyant force. This force acts vertically upwards and is equal to the weight of the fluid displaced by the submerged surface. The point where this force is considered to act is known as the center of pressure.
The depth of the center of pressure depends on the shape and orientation of the immersed surface, as well as the density of the fluid. For a vertically immersed surface, the center of pressure is located at a depth depending on the shape and size of the surface. The density of the fluid affects the magnitude of the hydrostatic force, but it does not affect the position of the center of pressure. Therefore, assertion (A) is true.
Reason (R): Center of pressure lies above the center of area of the immersed surface.
The center of area of a surface is the geometric center or the centroid of the surface. For a vertically immersed surface, the center of area is located at the midpoint of the vertical height of the surface.
However, the center of pressure does not necessarily coincide with the center of area. The position of the center of pressure depends on the distribution of pressure on the surface due to the hydrostatic force. It is influenced by factors such as the shape and orientation of the surface, and the distribution of the fluid pressure. In general, the center of pressure is not located exactly above the center of area. Therefore, the reason (R) is false.
In conclusion, the assertion (A) is true, but the reason (R) is false. Therefore, option 'C' is the correct answer.
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Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. Can you explain this answer?
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Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. 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): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. 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): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. Can you explain this answer?.
Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. 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): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. 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): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. Can you explain this answer?.
Solutions for Assertion (A): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. 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): For a vertically immersed surface, the depth of the centre of pressure is independent of the density of the liquid.Reason (R): Centre of pressure lies above the centre of area of the immersed surface.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 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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