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Q.

A block of wood is floating in water at 0oC. The temperature of water is slowly raised from 0oC to 10oC. With the rise in temperature the volume of block ZV above water level will

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a

increase

b

decrease

c

first increase and then decrease

d

first decrease and then increase

answer is C.

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Detailed Solution

Fraction of wooden block immersed at 0oC,V1V0=ρwood 0∘CρH2O0∘Cf1=V0−V1V0=ρH2O0∘C−ρwood0∘CρH2O0∘CV1− Volume of wood immersed in water at 0∘CV0− Volume of wood ρwood 0∘C− Density of wood at 0∘CWhen the temperature is raised to 10oC, the volume of wood immersed in water changes to V2.V2V0=ρwood 10∘CρH2O10∘Cf2=V0−V2V0=ρH2O10∘C−ρwood10∘CρH2O10∘CFrom 0oC to 4oC, the density of water increases, and from 4oC to l0oc the density of water decreases.But for wood density decreases as temperature increases.The volume of block above water level will first increase and then decrease.
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