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What is the specific gravity of a marble stone, which weighs 400 N in air, and 200 N in the water? (g = 10m/s2)
  • a)
    8
  • b)
    6
  • c)
    4
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the specific gravity of a marble stone, which weighs 400 N in ...
Concept:
The weight of the stone in the air is given by, ρs × V × g
Where ρs is the density of the stone and V is the volume of the stone.
When the stone is immersed in the water there will be buoyancy force acting upon the stone applied by water.
Then the weight of the stone in the water is given by Weight in air – Buoyancy force upon the stone
Buoyancy force = ρw × V × g
Where ρw is the density of water and V is that volume which is immersed in water
The specific gravity of stone
Calculation:
Given Ws-air = 400 N
then ρs × V × g = 400 N
∴ ρs × V = 40 N      ----(1)
Now when the stone is immersed in water then Ws-water = 200 N
ρs × V × g - ρw × V × g = 200 N
s - ρw) × V = 20 N      ----(2)
Now dividing eqn. (2) by eqn. (1)
∴ The specific gravity of the stone = 2
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Most Upvoted Answer
What is the specific gravity of a marble stone, which weighs 400 N in ...
Calculation of Specific Gravity:
To calculate the specific gravity of the marble stone, we can use the formula:
Specific Gravity = Weight in air / (Weight in air - Weight in water)
Given:
Weight in air = 400 N
Weight in water = 200 N
Acceleration due to gravity (g) = 10 m/s^2

Calculation:
Specific Gravity = 400 / (400 - 200)
Specific Gravity = 400 / 200
Specific Gravity = 2
Therefore, the specific gravity of the marble stone is 2.
Therefore, the correct answer is option D.
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What is the specific gravity of a marble stone, which weighs 400 N in air, and 200 N in the water? (g = 10m/s2)a)8b)6c)4d)2Correct answer is option 'D'. Can you explain this answer?
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