A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density andrho;/3.Situation I : Initially, the tank is filled with water of density andrho; to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer?

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A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.

Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h₁ (measured from the top of the block).

Situation II : The water is removed from the tank to a height h₂ (measured from the bottom of the block), as shown in the figure.
The height h₂ is smaller than h (height of the block) and thus the block is exposed to the atmosphere.

Q. In situation 2, if h2 is further decreased, then

a)
cylinder will not move up and remains at its original position
b)
for h₂ = h/3, cylinder again starts moving up
c)
for h₂ = h/4, cylinder again starts moving up
d)
for h₂ = h/5, cylinder again starts moving up

Correct answer is option 'A'. Can you explain this answer?

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A cylindrical tank has a hole of diameter 2r in its bottom. The hole i...

When the height h₂ of water level is further decreased, then the upward force acting on the wooden block decreases. The total force downward remains the same.
This difference will be compensated by the normal reaction by the tank wall on the wooden block. Thus the block does not moves up and remains at its original position.

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A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.Find the minimum value of height h1 (in situation 1), for which the block just starts to move up?

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A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer?

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A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer?.

Solutions for A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density ρ/3.Situation I : Initially, the tank is filled with water of density ρ to a height such that the height of water above the top of the block is h1 (measured from the top of the block).Situation II : The water is removed from the tank to a height h2 (measured from the bottom of the block), as shown in the figure.The height h2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere.Q.In situation 2, if h2 is further decreased, thena)cylinder will not move up and remains at its original positionb)for h2 = h/3,cylinder again starts moving upc)for h2 = h/4,cylinder again starts moving upd)for h2 = h/5,cylinder again starts moving upCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

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