JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank

done Pascal's Law and Archimedes Principle Total Questions - 27

• question_answer1)
  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                                                     [CPMT 2004]
  A)
             20%                                           done clear
  B)
             35%                                           done clear
  C)
             10%                                           done clear
  D)
              25% done clear
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• question_answer2)
   A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg/m3)        [CPMT 2004]
  A)
             80 Kg                                        done clear
  B)
             50 Kg                                        done clear
  C)
             60 Kg                                        done clear
  D)
             30 Kg done clear
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• question_answer3)
  A hemispherical bowl just floats without sinking in a liquid of  density 1.2 × 103kg/m3. If outer diameter and the density of the bowl are 1 m and 2 × 104 kg/m3 respectively, then the inner diameter of the bowl will be                 [SCRA 1998]
  A)
             0.94 m                                      done clear
  B)
             0.97 m                                      done clear
  C)
             0.98 m                                      done clear
  D)
             0.99 m done clear
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• question_answer4)
  In making an alloy, a substance of specific gravity \[{{s}_{1}}\] and mass \[{{m}_{1}}\] is mixed with another substance of specific gravity \[{{s}_{2}}\] and mass \[{{m}_{2}}\]; then the specific gravity of the alloy is       [CPMT 1995]
  A)
             \[\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{s}_{1}}+{{s}_{2}}} \right)\]      done clear
  B)
             \[\left( \frac{{{s}_{1}}{{s}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)\]         done clear
  C)
             \[\frac{{{m}_{1}}+{{m}_{2}}}{\left( \frac{{{m}_{1}}}{{{s}_{1}}}+\frac{{{m}_{2}}}{{{s}_{2}}} \right)}\]               done clear
  D)
             \[\frac{\left( \frac{{{m}_{1}}}{{{s}_{1}}}+\frac{{{m}_{2}}}{{{s}_{2}}} \right)}{{{m}_{1}}+{{m}_{2}}}\] done clear
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• question_answer5)
  A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. Ratio of mass of concrete to mass of sawdust will be   [AIIMS 1995]
  A)
             8     done clear
  B)
             4     done clear
  C)
             3     done clear
  D)
             Zero done clear
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• question_answer6)
  A metallic block of density 5 gm cm?3 and having dimensions 5 cm × 5 cm × 5 cm is weighed in water. Its apparent weight will be
  A)
             5 × 5 × 5 × 5 gf                      done clear
  B)
             4 × 4 × 4 × 4 gf                       done clear
  C)
             5 × 4 × 4 × 4 gf                       done clear
  D)
             4 × 5 × 5 × 5 gf done clear
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• question_answer7)
  A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed in the liquid will be
  A)
             \[\frac{1}{2}\] done clear
  B)
             \[\frac{3}{8}\] done clear
  C)
             \[\frac{2}{3}\] done clear
  D)
             \[\frac{3}{4}\] done clear
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• question_answer8)
  A silver ingot weighing 2.1 kg is held by a string so as to be completely immersed in a liquid of relative density 0.8. The relative density of silver is 10.5. The tension in the string in kg-wt is
  A)
             1.6  done clear
  B)
             1.94                                           done clear
  C)
             3.1  done clear
  D)
             5.25 done clear
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• question_answer9)
  A sample of metal weighs 210 gm in air, 180 gm in water and 120 gm in liquid. Then relative density (RD) of
  A)
             Metal is 3                                done clear
  B)
             Metal is 7                                done clear
  C)
             Liquid is 3                                done clear
  D)
             Liquid is \[\frac{1}{3}\] done clear
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• question_answer10)
  Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with 2/3 of its volume immersed. Compare the densities of A and B
  A)
             4 : 3                                           done clear
  B)
             2 : 3                                           done clear
  C)
             3 :  4                                          done clear
  D)
             1 : 3 done clear
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• question_answer11)
  The fraction of a floating object of volume \[{{V}_{0}}\] and density \[{{d}_{0}}\] above the surface of a liquid of density d will be
  A)
             \[\frac{{{d}_{0}}}{d}\]       done clear
  B)
             \[\frac{d{{d}_{0}}}{d+{{d}_{0}}}\]                                    done clear
  C)
             \[\frac{d-{{d}_{0}}}{d}\]\[\]   done clear
  D)
             \[\frac{d{{d}_{0}}}{d-{{d}_{0}}}\] done clear
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• question_answer12)
  Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by
  A)
             Bernoulli                                 done clear
  B)
             Archimedes                           done clear
  C)
             Boyle                                        done clear
  D)
             Pascal done clear
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• question_answer13)
  A block of steel of size 5 cm × 5 cm × 5 cm is weighed in water. If the relative density of steel is 7, its apparent weight is                                                                                          [AFMC 1997]
  A)
             6 × 5 × 5 × 5 gf                      done clear
  B)
             4 × 4 × 4 × 7 gf done clear
  C)
             5 × 5 × 5 × 7 gf                      done clear
  D)
             4 × 4 × 4 × 6 gf done clear
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• question_answer14)
  A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. What will happen to the body [AIIMS 1980]
  A)
             It will slowly come back to its earlier position done clear
  B)
             It will remain submerged, where it is left done clear
  C)
             It will sink                               done clear
  D)
             It will come out violently done clear
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• question_answer15)
  A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
  A)
             Increases                                done clear
  B)
             Decreases                              done clear
  C)
             Remains unchanged          done clear
  D)
             None of these done clear
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• question_answer16)
  A solid sphere of density h ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by      
  A)
             \[\left( \frac{\eta -1}{\eta } \right)\,mg\] done clear
  B)
             \[\eta mg\] done clear
  C)
             \[\frac{mg}{\eta -1}\] done clear
  D)
             \[(\eta -1)\,mg\] done clear
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• question_answer17)
  A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water
  A)
             \[V/2\]                                    done clear
  B)
             \[V/3\]                                    done clear
  C)
             \[V/4\]                                    done clear
  D)
             V done clear
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• question_answer18)
  A rectangular block is 5 cm × 5 cm × 10cm in size. The block is floating in water with 5 cm side vertical. If it floats with 10 cm side vertical, what change will occur in the level of water?
  A)
             No change                             done clear
  B)
             It will rise                                done clear
  C)
             It will fall done clear
  D)
             It may rise or fall depending on the density of block done clear
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• question_answer19)
  A ball whose density is 0.4 × 103 kg/m3 falls into water from a height of 9 cm . To what depth does the ball sink
  A)
             9 cm                                          done clear
  B)
             6 cm                                          done clear
  C)
             4.5 cm                                      done clear
  D)
             2.25 cm done clear
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• question_answer20)
  Two solids A and B  float in water. It is observed that A floats with \[\frac{1}{2}\] of its body immersed in water and B floats with \[\frac{1}{4}\] of its volume above the water level. The ratio of the density of A to that of B is
  A)
             4 : 3                                           done clear
  B)
             2 : 3 done clear
  C)
             3 : 4                                           done clear
  D)
             1 : 2 done clear
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• question_answer21)
  A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water                                                          [J&K CET 2005]
  A)
             It will remain unchanged done clear
  B)
             It will rise                                done clear
  C)
             It will fall                                 done clear
  D)
             First it will first rise and then fall done clear
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• question_answer22)
  Two pieces of metal when immersed in a liquid have equal upthrust on them; then
  A)
             Both pieces must have equal weights                           done clear
  B)
             Both pieces must have equal densities done clear
  C)
             Both pieces must have equal volumes                          done clear
  D)
             Both are floating to the same depth done clear
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• question_answer23)
  A wooden cylinder floats vertically in water with half of its length immersed. The density of wood is
  A)
             Equal of that of water                                                           done clear
  B)
             Half the density of water done clear
  C)
             Double the density of water                                              done clear
  D)
             The question is incomplete done clear
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• question_answer24)
  A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will                  [AIIMS 2005]
  A)
             Remain at the same height done clear
  B)
             Fall at the rate of 1 cm/hour done clear
  C)
             Fall at the rate of  2 cm/hour done clear
  D)
             Go up the rate of 1cm/hour done clear
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• question_answer25)
  An ice block contains a glass ball when the ice melts within the water containing vessel, the level of water            [AFMC 2005]
  A)
             Rises                                         done clear
  B)
             Falls done clear
  C)
             Unchanged                            done clear
  D)
             First rises and then falls done clear
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• question_answer26)
  A large ship can float but a steel needle sinks because of  [AFMC 2005]
  A)
             Viscosity                                 done clear
  B)
             Surface tension done clear
  C)
             Density                                    done clear
  D)
             None of these done clear
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• question_answer27)
  Construction of submarines is based on     [Kerala PMT 2005]
  A)
             Archimedes? principle       done clear
  B)
             Bernoulli?s theorem done clear
  C)
             Pascal?s law             done clear
  D)
             Newton?s laws done clear
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