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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

decrease

b

increase

c

first decrease and then increase

d

first increase and then decrease

answer is C.

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Detailed Solution

Fraction of wooden block immersed at 0oC,

V1V0=ρwood 0CρH2O0C

f1=V0V1V0=ρH2O0Cρwood0CρH2O0C

V1 Volume of wood immersed in water at 0CV0 Volume of wood 

ρwood 0C Density of wood at 0C

When the temperature is raised to 10oC, the volume of wood immersed in water changes to V2.

V2V0=ρwood 10CρH2O10Cf2=V0V2V0=ρH2O10Cρwood10CρH2O10C

From 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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