A cube of side 10 cm completely immersed in water experiences a buoyant force of Take Density of water -1000 kg - m 3- Acceleration due to gravity g -10 m - s 2 A- 1000 NB- 100 N- 50 ND- 10 N

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Question

A cube of side $10 c m$ completely immersed in water experiences a buoyant force of_____(Take Density of water $ρ$ = $1000 k g / m^{3}$ , Acceleration due to gravity $g = 10 m / s^{2}$ )

$1000 N$

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$10 N$

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$100 N$

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$50 N$

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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 $v_{c}$ of side $10 c m$ is $1000 c m^{3} = 0.001 m^{3}$ , which is also equal to the volume of water displaced.

Weight of water displaced = $v_{c} ρ g$ = $0.001 m^{3} \times 1000 k g / m^{3} \times 10 m / s^{2} = 10 N$
Hence, the buoyant force is $10 N$

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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 cube of side $10 c m$ completely immersed in water experiences a buoyant force of_____(Take Density of water $ρ$ = $1000 k g / m^{3}$ , Acceleration due to gravity $g = 10 m / s^{2}$ )