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Assertion (A): If a boat, built with sheet metal on wooden frame,has an average density which is greater than that of water, then the boat can float in water with its hollow face upward but will sink once it overturns  
Reason (R): Buoyant force always acts in the upward direction.
  • 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 'B'. Can you explain this answer?
Verified Answer
Assertion (A): If a boat, built with sheet metal on wooden frame,has a...
Ans. (b) Both A and R are true, but R does not give sufficient explanation for phenomenon at A. Location of Metacentre and centre of buoyancy decide about floating of a body.
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Most Upvoted Answer
Assertion (A): If a boat, built with sheet metal on wooden frame,has a...
Explanation:

• The given assertion states that a boat built with sheet metal on a wooden frame will float in water with its hollow face upward if its average density is greater than that of water. This is because the buoyant force acting on the boat is equal to the weight of the displaced water.

• The reason given for this assertion is that buoyant force always acts in the upward direction. This is true, as per Archimedes' principle which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

• However, the reason alone does not explain why the boat will sink once it overturns. This is because when the boat overturns, its hollow face will be submerged in water, and the weight of the boat will increase due to the weight of the water it displaces. If this weight exceeds the buoyant force acting on the boat, it will sink.

• Therefore, both assertion and reason are individually true, but the reason alone is not a sufficient explanation for the assertion. Hence, option B is the correct answer.
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Assertion (A): If a boat, built with sheet metal on wooden frame,has an average density which is greater than that of water, then the boat can float in water with its hollow face upward but will sink once it overturns Reason (R): Buoyant force always acts in the upward direction.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 'B'. Can you explain this answer?
Question Description
Assertion (A): If a boat, built with sheet metal on wooden frame,has an average density which is greater than that of water, then the boat can float in water with its hollow face upward but will sink once it overturns Reason (R): Buoyant force always acts in the upward direction.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 'B'. 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 boat, built with sheet metal on wooden frame,has an average density which is greater than that of water, then the boat can float in water with its hollow face upward but will sink once it overturns Reason (R): Buoyant force always acts in the upward direction.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 'B'. 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 boat, built with sheet metal on wooden frame,has an average density which is greater than that of water, then the boat can float in water with its hollow face upward but will sink once it overturns Reason (R): Buoyant force always acts in the upward direction.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 'B'. Can you explain this answer?.
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