#10 | Archimedes Principle:
(Physics) > Mechanical Properties of Fluids
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When a body of mass 'm', destiny dB is suspended from a wire, its elongation is 'e' when the body is in-air. If the body is completely immersed in non-viscous liquid of density d then its elongation is

1. e1-dldB

2. e1-dBdl

3. edBdl-1

4. edBdl

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A sample of metal weighs 210 g in air, 140 g in water and 120 g in an unknown liquid. Then -

1.  The density of the metal is 3 g/cm3

2.  The density of the metal is 7 g/cm3

3.  The density of the metal is 4 times the density of unknown liquid

4.  The metal still float in water

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Two non-mixing liquids of densities ρ and nρ(n>1) are put in a container. The height of each liquid is h. A solid cylinder  floats with its axis vertical and length pL p<1 in the denser liquid. The density of the cylinder is d. The cylinder floats with its axis vertical and length pL (p<1) in the denser liquid. The density d is equal to 

(a) {2+(n+1)p}ρ             (b) {2+(n-1)p}ρ

(c) {1+(n-1)p}ρ              (d) {1+(n+1)p}ρ

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Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the other is 48 g, its density in g / cm3 is 
(a)43                                         (b) 32
(c) 3                                           (d) 5

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An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is 
(a) 20%                                       (b) 35%
(c) 10%                                       (d) 25%

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