A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f_{1}V(f_{1}\lt1) submerged. On the other hand, on a spaceship accelerating with acceleration a\lt g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f_{2}V. Then :

  1. A. f_{2}=f_{1} ✓
  2. B. f_{2}=(1-\frac{a}{g})f_{1}
  3. C. f_{2}\gt f_{1}
  4. D. f_{2}=\frac{a}{g}f_{1}

Correct Answer: A. f_{2}=f_{1}

Explanation

The fraction of submerged volume for a floating body depends only on the ratio of the object's density to the fluid's density, which remains unaffected by changes in the effective gravity.

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