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.Find the minimum value of height h1 (in situation 1), for which the block just starts to move up? a)2h/3b)5h/4c)5h/3d)5h/2Correct answer is option 'C'. 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. Find the minimum value of height h₁ (in situation 1), for which the block just starts to move up?

a)
2h/3
b)
5h/4
c)
5h/3
d)
5h/2

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

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

Consider the equilibrium of wooden block.
Forces acting in the downward direction are

(a) Weight of wooden cylinder

(b) Force due to pressure (P₁) created by liquid of height h₁ above the wooden block is
= P₁ × π (2r)² = [P₀ + h₁rg] × π (2r)²
Force acting on the upward direction due to pressure P₂ exerted from below the wooden block and atmospheric pressure is

At the verge of rising

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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? a)2h/3b)5h/4c)5h/3d)5h/2Correct answer is option 'C'. 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.Find the minimum value of height h1 (in situation 1), for which the block just starts to move up? a)2h/3b)5h/4c)5h/3d)5h/2Correct answer is option 'C'. 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.Find the minimum value of height h1 (in situation 1), for which the block just starts to move up? a)2h/3b)5h/4c)5h/3d)5h/2Correct answer is option 'C'. 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.Find the minimum value of height h1 (in situation 1), for which the block just starts to move up? a)2h/3b)5h/4c)5h/3d)5h/2Correct answer is option 'C'. Can you explain this answer?.

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