Q3 of 25 Page 137

An ice cube floats on the surface of a glass of water (density of ice =0.9 g/cm3 ). When the ice melts will the water level in the glass rise?

By the Archimedes' principle When an ice block is floating on water, the amount of water displaced by the ice is equal to the mass of the ice. As we know that mass of ice is conserved. Ice and water both have same mass but have different volume .Thus when ice melts, the level of water will remain unchanged. This can also be observed for a boat on a pool. If you are on a boat, which is in a pol containing finite amount of water, if you fill up the boat with some water from the pool, the water level will be the same.



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1

A solid sphere has a radius of 2 cm and a mass of 0.05 kg. What is the relative density of the sphere?

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A small bottle weighs 20 g when empty and 22 g when filled with water. When it is filled with oil it weighs 21.76 g. What is the density of oil?

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The volume of 50g of a substance is 20 cm3. If the density of water is 1g/cm3,will the substance sink or float when placed on the surface of water ? What will be the mass of water displaced by the substance?

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Find the pressure at a depth of 10m in water if the atmospheric pressure is 100kPa. [1Pa=1N/m2 ] [100kPa = 105Pa = 105N/m2 = 1 atm.]