1.

A cube of wood supporting a mass of 200 g justfloats in water. When the mass is removed, thecube rises by 2 cm. What is the size of the cube?(a) 6 cm (b) 8 cm (c) 10 cm (d) 12 cm

Answer»

Let the edge of cube be ℓ. When mass is on the cube of wood

200 g + ℓ3d wood g = ℓ3dwaterg

⇒ ℓ3dwood= ℓ3dwater– 200 … (i)

When the mass is removed

ℓ3dwood= (ℓ - 2 ) ℓ2dwater… (ii)

From (i) and (ii)

ℓ3dwater- 200 = (ℓ- 2) ℓ2dwater

But dwater= 1

∴ ℓ3- 200 = ℓ2(ℓ - 2)

⇒ ℓ = 10 cm



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