You have a bag of cotton and a metal bar, each indicating a mass of $100 kg$ when measured on a weighing machine.

Is it true that out of these two bags the cotton bag is heavier?

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True

False

answer is A.

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Detailed Solution

The given statement is true.
The cotton bag has a more volume than a metal bar. So it replaces more air from the surroundings and so the buoyant force exerted on the cotton bag will be larger than that is acting on the metal bar (in accordance with Archimedes' principle).

True weight = Buoyant foce + Apparant weight

Therefore the bag of cotton which has huge volume is heavier (as it has less density) than the metal bar (which has greater density), experiences more up thrust due to air.

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