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WAEC Physics 2012 Paper

Question : 4

Total: 47

^{-3}

^{-3}

^{-2}

)

Solution:

Concept:

A floating object displaces its own weight of liquid. The immersed volume equals the volume of liquid displaced.

Explanation:

Mass of the wooden block is found from its weight:

m = \frac{W}{g} = \frac{3.06}{10} = 0.306\ \text{kg} = 306\ \text{g}

Since the block floats, the mass of displaced liquid equals the mass of the block:

\text{mass of displaced liquid} = 306\ \text{g}

The liquid density is

0.9\ \text{gcm}^{-3}

Volume of the immersed portion is therefore:

V_{\text{immersed}} = \frac{306}{0.9} = 340\ \text{cm}^3

Answer:

340\ \text{cm}^3

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