MCQ practice · SSC Physics Board questions · Chapter 5: State of Matter and Pressure
The volume of an object of mass 100 kg is 0.2 m³. If the object is released in water-
Think it through first, then pick an option.
- a it will float half immersed
- b it will float partly immersed
- c it will float fully immersed
- d it will sink completely and rest on the bottom
Answer and explanation
Correct answer: a it will float half immersed
The density is 100 ÷ 0.2 = 500 kg/m³, half of water; the submerged part is 500 ÷ 1000 = 50%, that is half.
Why the other options are wrong
- b it will float partly immersed: The object does float partly immersed, but its density is exactly half that of water so exactly half is under; that exact share is the answer here.
- c it will float fully immersed: To float fully immersed the density would have to equal water, 1000 kg/m³; here it is 500.
- d it will sink completely and rest on the bottom: To sink to the bottom the density would have to exceed water; here it is 500 kg/m³, less.
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