Question

Which of the following objects will float in water -
(A)mass = 50g and volume = 20cm^3
(B)mass = 200g and volume = 500cm^3
(C)mass = 40g and volume = 20 cm^3
(D)mass = 1g and volume = 0.5 cm^3

Answer 1

B is the answer as its density is less than water

Answer 2

The objects will float in the water (B) with mass = 200g and volume = 500cm^3.

• According to Archimedes' principle, an object floats in water when its density is lower than water and sinks if its density is more than an object.
• As we know:
• $density \: = \frac{mass}{volume}$
• So, density is directly proportional to mass and inversely proportional to volume.
• Objects with lower mass and more volume will float on the surface.
• The density of water is 1gcm-³.
• In option B density of an object is the lowest and less than the density of water.
• $density \: = \frac{200}{500} = 0.4g {cm}^{ - 3}$
• Henceforth, the object will float in the water (B) with mass = 200g and volume = 500cm^3.