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  4. A block of wood is floating on water at 0° with volume V0 above water. When the temperature of water increases from 0 to 10° , the change in the volume of the block that is above water is best described schematically by the graph

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Q. A block of wood is floating on water at $0^{\circ}$ with volume $V_{0}$ above water. When the temperature of water increases from $0$ to $10^{\circ}$ , the change in the volume of the block that is above water is best described schematically by the graph

KVPYKVPY 2018Thermal Properties of Matter

Solution:

As temperature of water is increased from $0^{\circ} C$ to $10^{\circ} C$, density of water initially increases upto a maximum at $4^{\circ} C$ and then it reduces.
So, buoyant force on block of wood also increases till temperature reaches $4^{\circ}$ 'C and then decreases from $4^{\circ} C$ to $10^{\circ} C$.
Hence, volume of block above water aiso increases upto $4^{\circ} C$ and then decreases from $4^{\circ} C$ to $10^{\circ} C$.
$\therefore $ Variation of $V_{0}$ versus $t$ as shown below.
image