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A block of wood floats in water with 2/3rd of its volume submerged. Its relative density is:
  • a)
  • b)
  • c)
    4/3
  • d)
    1/9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A block of wood floats in water with 2/3rd of its volume submerged. I...
According to Archimedes Principle, when a body is fully or partially immersed in a liquid, the amount of liquid displaced by the body is equal to the loss of weight of the body in the liquid.
∴ Weight of wooden block = Weight of the volume of fluid displaced
Let,
The density of wooden block = γb, the density of water = γw, and volume of block = V
Weight of wooden block = γb × V
Weight of the volume of fluid displaced = γw × 2/3 × V
∴ γb = 2/3 × γw
∴ The relative density for the wooden block is 2/3.
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A block of wood floats in water with 2/3rd of its volume submerged. Its relative density is:a)⅓b)⅔c)4/3d)1/9Correct answer is option 'B'. Can you explain this answer?
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