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Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2R × L at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density ρ up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure.

The force F required to hold the plug in its position is
  • a)
  • b)
  • c)
    πR2ρgL
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider a frictionless, massless and leak-proof plug blocking a recta...
Concept:

The force applied from the bottom should be such that it must balance the force applied due to water above the cap.
Force F here is vertical hydrostatic force
F = ρgV
Where V = volume of fluid above the curved surface
So, F = ρgV
V = [Volume of a cuboid  – Volume of hemisphere]
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Most Upvoted Answer
Consider a frictionless, massless and leak-proof plug blocking a recta...
Concept:

The force applied from the bottom should be such that it must balance the force applied due to water above the cap.
Force F here is vertical hydrostatic force
F = ρgV
Where V = volume of fluid above the curved surface
So, F = ρgV
V = [Volume of a cuboid  – Volume of hemisphere]
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Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2R × L at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density ρ up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure.The force F required to hold the plug in its position isa)b)c)πR2ρgLd)Correct answer is option 'A'. Can you explain this answer?
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