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A big container filled with water and oil (S = 0.6) is shown in the figure.
A vertical cylinder of density 900 kg/m3 and height 10 cm is dropped in the container. Which of the following options is correct?
  • a)
    The cylinder will float at the top
  • b)
    It will sink to bottom
  • c)
    It will stay at interface with 2.5 cm length in oil
  • d)
    It will stay at interface with 7.5 cm length in interface
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A big container filled with water and oil (S = 0.6) is shown in the f...
As the density of the cylinder is more than oil it will sink for oil but float for water. Hence in equilibrium condition, the cylinder will stay at the interface of water and oil.
Consider FBD of cylinder
W = FB
W = FB,Oil + FB,Water
W = ρ0Vd0g + ρwVdwg
ρbVbg = ρ0Vd0g + ρwVdwg
900 × A × 10 = 600 × A × x + 1000 × A(10 − x)
9000 = 600 x + 10000 − 1000 x
∴ −1000 = −400 x
x = 1000 / 400
x = 2.5 cm
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Most Upvoted Answer
A big container filled with water and oil (S = 0.6) is shown in the f...
As the density of the cylinder is more than oil it will sink for oil but float for water. Hence in equilibrium condition, the cylinder will stay at the interface of water and oil.
Consider FBD of cylinder
W = FB
W = FB,Oil + FB,Water
W = ρ0Vd0g + ρwVdwg
ρbVbg = ρ0Vd0g + ρwVdwg
900 × A × 10 = 600 × A × x + 1000 × A(10 − x)
9000 = 600 x + 10000 − 1000 x
∴ −1000 = −400 x
x = 1000 / 400
x = 2.5 cm
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A big container filled with water and oil (S = 0.6) is shown in the figure.A vertical cylinder of density 900 kg/m3 and height 10 cm is dropped in the container. Which of the following options is correct?a) The cylinder will float at the topb) It will sink to bottomc) It will stay at interface with 2.5 cm length in oild) It will stay at interface with 7.5 cm length in interfaceCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A big container filled with water and oil (S = 0.6) is shown in the figure.A vertical cylinder of density 900 kg/m3 and height 10 cm is dropped in the container. Which of the following options is correct?a) The cylinder will float at the topb) It will sink to bottomc) It will stay at interface with 2.5 cm length in oild) It will stay at interface with 7.5 cm length in interfaceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A big container filled with water and oil (S = 0.6) is shown in the figure.A vertical cylinder of density 900 kg/m3 and height 10 cm is dropped in the container. Which of the following options is correct?a) The cylinder will float at the topb) It will sink to bottomc) It will stay at interface with 2.5 cm length in oild) It will stay at interface with 7.5 cm length in interfaceCorrect answer is option 'C'. Can you explain this answer?.
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