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Question

A cube of side 10 cm completely immersed in water experiences a buoyant force of_____(Take Density of water ρ = 1000 kg/m3, Acceleration due to gravity g = 10m/s2)


A

1000 N

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B

10 N

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C

100 N

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D

50 N

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Solution

The correct option is B

10 N


Archimedes' principle states that the buoyant force acting on the immersed part of an object is equal to the weight of the fluid displaced by it.
The volume of the cube vc of side 10 cm is 1000 cm3=0.001 m3, which is also equal to the volume of water displaced.

Weight of water displaced = vcρg = 0.001 m3×1000 kg/m3×10 m/s2 = 10 N
Hence, the buoyant force is 10 N


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