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.Find the height of the water level h2 (in situation 2), for which the block remains in its original position without the application of any external force

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The atmospheric lapse rateFor small volumes of gas, according to kinetic theory of gases, all parts of the gas are at the same temperature. But for huge volumes of gas like atmosphere, assumption of a uniform temperature throughout the gas is not valid. Different parts of the atmosphere are at different temperatures. Apart from the surface of the earth, variations also occur in temperature at different heights in the atmosphere.The decrease in temperature with height called the atmospheric lapse rate is similar at various locations across the surface of the Earth. By analyzing the data collected at various locations, it is found that average global lapse rate is – 6.7 °C/Km.The linear decrease with temperature only occurs in the lower part of the atmosphere called the troposphere. This is the part of the atmosphere in which weather occurs and our planes fly. Above the troposphere is the stratosphere, with an imaginary boundary separating the two layers. In the stratosphere, temperature tends to be relatively constant.Absorption of sunlight at the Earth’s surface warms the troposphere from below, so vertical convection currents are continually mixing in the air. As a parcel of air rises, its pressure drops and it expands. The parcel does work on its surrounding, so that its internal energy and therefore, its temperature drops. Assume that the vertical mixing is so rapid as to be adiabatic and the quantityTP(1 – λ)/λ has a uniform value through the layers of troposphere.(M is molecular mass of the air, R is universal gas constant, g is gravitational acc., P and T are pressure and temperature respectively at the point under consideration and y is height.)Q. Mechanical equilibrium of the atmosphere requires that the pressure decreases with altitude according to . Assuming free fall acceleration to be uniform, then lapse rate is given by

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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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