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A ball is made of a material of density where with and representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following describes its equilibrium position?
image
image

  1. A
    It floats completely within the oil layer.
  2. B
    It stays at the oil-water interface, partly in both.
  3. C
    It sinks to the bottom of the water.
  4. D
    It floats on top of the oil.

Solution & Step-by-step Explanation

Oil is less dense than water and floats on top.Since , the ball will sink through the oil.Since , the ball will float on the water.Therefore, the ball will come to rest at the interface between the two liquids, with part of its volume in the oil and part in the water.

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Try it yourself before checking the explanation above.

A ball is made of a material of density where with and representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following describes its equilibrium position?
image
image
A
It floats completely within the oil layer.
B
It stays at the oil-water interface, partly in both.
C
It sinks to the bottom of the water.
D
It floats on top of the oil.

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