The density of ice is 0.92 gm/cm^3. A piece of ice has length 50 cm , breadth 30cm and height 20 cm. Find out the mass of water displaced by the ice when it is kept in water. (density of water = 1 gm/cm^3)
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Answer:
Given :
Density of ice =0.92 g cm
−3
Density of sea water =1.025 g cm
−3
Volumn of the ice berg above water =800cm
3
Let
′
v
′
be the volume of iceberg immereder in water
As per the law of floatation,
V
ν
=
Density of sea water
Density of ice
⇒
V
ν
=
1.025
0.92
=0.8976
⇒v=0.8976V
Volume of the iceberg over the surface of sea water is given by:
V(1−0.8976)=800
⇒V=800/(1−0.8976)
⇒V=7812.5 cm
3
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