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Q.

A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube

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a

Will increase

b

Will decrease

c

Will remain the same

d

Will become zero

answer is C.

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Detailed Solution

  • The net force acting on the base in direct contact with the metallic cube will remain unchanged if the height of the water is equal to the height of the metallic cube and no mass of water is above the cube.
  • The force on the bottom (in contact with the cube) will rise by ρghA if the water is filled to a specific height (h) above the cube to totally submerge it.
  • It makes no difference whether the cube floats, hangs in the middle, or stays put. As long as the block and liquid above the contact area have the same net mass, the pressure won't change unless the object moves laterally.
solution

Hence the correct answer is will remain the same.

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