Physics Upthrust in Fluids Numerical5b
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Numericals
Q1 The density of copper is 8.83 g cm-3 . Express it in kg m-3
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Q2 The relative density of mercury is 13.6. State its density in (i) C.G.S. unit (ii) S.I. unit.
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Q3 The density of iron is 7.8 x 103 kg m-3 . What is its relative density?
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Q4 The relative density of silver is 10.8. Find its density
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Q5 Calculate the mass of a body whose volume is 2m3 and relative density is 0.52
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Q6 Calculate the mass of air in a room of dimensions 4.5m x 3.5m x 2.5m if the density of air at N.T.P. is 1.3 kg m-3
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Q7 A piece of stone of mass 113g sinks to the bottom in water contained in a measuring cylinder and water level in cylinder rises from 30ml to 40ml. Calculate R.D. of stone.
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Q8 A body of volume 100cm3 weighs 1 kgf in air. Find: (i) its weight in water and (ii) its relative density
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Q9 A body of mass 70kg, when completely immersed in water, displaces 20,000 cm3 of water. Find: (i) the weight of the body in water and (ii) the relative density of material of the body.
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Q10 A solid weighs 120gf in air and 105 gf when it is completely immersed in water. Calculate the relative density of solid.
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Q11 . A solid weighs 32 gf in air and 28.8 gf in water. Find: (i) the volume of solid, (ii) R.D. of solid, and (iii) the weight of solid in a liquid of density 0.9gcm-3
Solution :
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Q12 A body weighs 20gf in air and 18 gf in water. Calculate relative density of the material of the body.
Solution :
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Q13 A solid weighs 1.5 kgf in air and 0.9kgf in a liquid of density 1.2 x 103 kg m-3 . Calculate R.D. of solid.
Solution :
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Q14 . A jeweler claims that he makes ornament of pure gold of relative density 19.3. He sells a bangle weighing 25.25 gf to a person. The clever customer weighs the bangle when immersed in water and finds that it weighs 23.075 gf in water. With the help of suitable calculations find out whether the ornament is made of pure gold or not. [Hint: Calculate R.D of material of bangle which comes out to be 11.6]
Solution :
Q15 A piece of iron weighs 44.5 gf in air. If the density of iron is 8.9 x 103 kg m-3 , find the weight of the iron piece when immersed in water.
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Q16 A piece of stone of mass 15.1g is first immersed in a liquid and it weighs 10.9 gf. Then on immersing the piece of stone in water, it weighs 9.7 gf. Calculate:
(a) The weight of the piece of stone in air,
(b) The volume of the piece of stone,
(c) The relative density of stone,
(d) The relative density of the liquid.
Solution :
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