Question

# Select the correct alternative: (a) The correct relation is (i) Density = Mass × Volume (ii) Mass = Density × Volume (iii) Volume =Denstity × Mass (iv) Density = Mass + Volume (b) The relative density of alcohol is 0.8. Its density is (i) 0.8 (ii) 800 kg m−3 (iii) 800 g cm−3 (iv) 0.8 kg m−3 (c) A block of wood of density of 0.8 g cm−3 has a volume of 60 cm3. The mass of the block is (i) 60.8 g (ii) 75 g (iii) 48 g (iv) 0.013 g (d) The density of aluminium is 2.7 g cm−3 and that of brass 8.4 g cm−3. The correct statement is : (i) Equal masses of aluminium and brass have equal volumes (ii) The mass of a certain volume of brass is more than the mass of equal volume of aluminium (iii) The volume of a certain mass of brass is more than the volume of equal mass of aluminium (iv) Equal volumes of aluminium and brass have equal masses. (e) A density bottle has a marking 25 mL on it. It means that : (i) the mass of density bottle is 25g (ii) the density bottle will store 25 mL of any liquid it (iii) the density bottle store 25 mL.of water, but more volume of liquid denser than water. (iv) the density bottle will store 25 mL of water but more volume of liquid lighter than water. (f) The correct statement is : (i) The buoyant force on a body is equal to the volume of the liquid displaced by it. (ii) The buoyant force on a body is equal to the volume of the body (iii) The buoyant force on a body is equal to the weight of the liquid displaced by it. (iv) The buoyant force on a body is always equal to the weight of the body. (g) A piece of wood floats on water. The buoyant force on wood will be : (i) zero (ii) more than the weight of the wood piece (iii) equal to the weight of the wood piece. (iv)less than the weight of the wood piece. (h) The weight of a body is more than the buoyant force experienced by it, due to a liquid. The body will : (i) sink (ii) float with its some part outside the liquid (iii) float just below the surface of liquid (iv) float with whole of its volume above the surface of liquid.

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Solution

## (a) Mass = Density × Volume (b) 800 g cm−3 (c) 48 g (d) The mass of a certain volume of brass is more than the mass of an equal volume of aluminium. (e) the density bottle will store 25 ml of any liquid in it (f) The buoyant force on a body is equal to the weight of the liquid displaced by it (g) equal to the weight of the wood piece (h) sink

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