(1 votes, average: 5.00 out of 5) Loading... | 720 1. For a floating body, the buoyant force passes through the : Dated: 19 Oct, 2018 Attempts: 104 Corrects: 34 Wrongs: 70Your Answer center of gravity of the body center of gravity of the submerged part of the body metacenter of the body centroid of the liquid displaced by the bodyCorrect Answer center of gravity of the body center of gravity of the submerged part of the body metacenter of the body centroid of the liquid displaced by the body Show Answer Share on FacebookShare on Twitter centroid of the liquid displaced by the body2. The condition of stable equilibrium for a floating body is : Dated: 19 Oct, 2018 Attempts: 85 Corrects: 44 Wrongs: 41Your Answer the metacenter M coincides with the center of gravity G the metacenter M is below center of gravity G the metacenter M is above center of gravity G the center of buoyancy B is above center of gravity GCorrect Answer the metacenter M coincides with the center of gravity G the metacenter M is below center of gravity G the metacenter M is above center of gravity G the center of buoyancy B is above center of gravity G Show Answer Share on FacebookShare on Twitter the metacenter M is above center of gravity G3. A submerged body will be in stable equilibrium if : Dated: 19 Oct, 2018 Attempts: 80 Corrects: 36 Wrongs: 44Your Answer the center of buoyancy B is below the center of gravity G the center of buoyancy B coincides with G the center of buoyancy B is above the Metacenter M the center of buoyancy B is above GCorrect Answer the center of buoyancy B is below the center of gravity G the center of buoyancy B coincides with G the center of buoyancy B is above the Metacenter M the center of buoyancy B is above G Show Answer Share on FacebookShare on Twitter the center of buoyancy B is above G4. The metacentric height of a floating body is : Dated: 19 Oct, 2018 Attempts: 72 Corrects: 44 Wrongs: 28Your Answer the distance between metacenter and center of buoyancy the distance between the center of buoyancy and center of gravity the distance between metacenter and center of gravity None of the aboveCorrect Answer the distance between metacenter and center of buoyancy the distance between the center of buoyancy and center of gravity the distance between metacenter and center of gravity None of the above Show Answer Share on FacebookShare on Twitter the distance between metacenter and center of gravity5. The point, through which the buoyant force is acting, is called : Dated: 19 Oct, 2018 Attempts: 79 Corrects: 61 Wrongs: 18Your Answer center of pressure center of gravity center of buoyancy None of the aboveCorrect Answer center of pressure center of gravity center of buoyancy None of the above Show Answer Share on FacebookShare on Twitter center of buoyancy6. The point, through which the weight is acting, is called : Dated: 19 Oct, 2018 Attempts: 72 Corrects: 63 Wrongs: 9Your Answer center of pressure center of gravity center of buoyancy None of the aboveCorrect Answer center of pressure center of gravity center of buoyancy None of the above Show Answer Share on FacebookShare on Twitter center of gravity7. The point, about which a floating body starts oscillating when the body is tilted, is called : Dated: 19 Oct, 2018 Attempts: 70 Corrects: 50 Wrongs: 20Your Answer center of pressure center of buoyancy center of gravity meta-centerCorrect Answer center of pressure center of buoyancy center of gravity meta-center Show Answer Share on FacebookShare on Twitter meta-center8. The metacentric height GM is given by : Dated: 20 Oct, 2018 Attempts: 57 Corrects: 0 Wrongs: 57Your Answer \[GM = BG - \frac{I}{V}\] \[GM = \frac{V}{I} - BG\] \[GM = \frac{I}{V} - BG\] None of the aboveCorrect Answer \[GM = BG - \frac{I}{V}\] \[GM = \frac{V}{I} - BG\] \[GM = \frac{I}{V} - BG\] None of the above Show Answer Share on FacebookShare on Twitter \[GM = \frac{I}{V} - BG\]9. For a floating body, if the meta-center is above the center of gravity, the equilibrium is called : Dated: 20 Oct, 2018 Attempts: 61 Corrects: 46 Wrongs: 15Your Answer stable unstable neutral None of the aboveCorrect Answer stable unstable neutral None of the above Show Answer Share on FacebookShare on Twitter stable10. For a floating body, if the meta-center is below the center of gravity, the equilibrium is called : Dated: 20 Oct, 2018 Attempts: 59 Corrects: 54 Wrongs: 5Your Answer stable unstable neutral None of the aboveCorrect Answer stable unstable neutral None of the above Show Answer Share on FacebookShare on Twitter unstable11. For a floating body, if the meta-center coincides with the center of gravity, the equilibrium is called : Dated: 20 Oct, 2018 Attempts: 60 Corrects: 52 Wrongs: 8Your Answer stable unstable neutral None of the aboveCorrect Answer stable unstable neutral None of the above Show Answer Share on FacebookShare on Twitter neutral12. For a floating body, if the center of buoyancy is above the center of gravity, the equilibrium is called : Dated: 20 Oct, 2018 Attempts: 57 Corrects: 33 Wrongs: 24Your Answer stable unstable neutral None of the aboveCorrect Answer stable unstable neutral None of the above Show Answer Share on FacebookShare on Twitter stable13. A balloon lifting in air follows the following principle : Dated: 20 Oct, 2018 Attempts: 57 Corrects: 17 Wrongs: 40Your Answer law of gravitation Archimedes principle principle of buoyancy all are correctCorrect Answer law of gravitation Archimedes principle principle of buoyancy all are correct Show Answer Share on FacebookShare on Twitter all are correct14. The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as : Dated: 20 Oct, 2018 Attempts: 52 Corrects: 27 Wrongs: 25Your Answer meta-center center of pressure center of buoyancy center of gravityCorrect Answer meta-center center of pressure center of buoyancy center of gravity Show Answer Share on FacebookShare on Twitter center of pressure15. The resultant upward pressure of a fluid on a floating body is equal to the weight of the fluid displaced by the body. This definition is according to : Dated: 20 Oct, 2018 Attempts: 56 Corrects: 32 Wrongs: 24Your Answer Buoyancy Equilibrium of a floating body Archimedes' principle Bernoulli's theoremCorrect Answer Buoyancy Equilibrium of a floating body Archimedes' principle Bernoulli's theorem Show Answer Share on FacebookShare on Twitter Archimedes' principle16. The resultant upward pressure of the fluid on an immersed body is called : Dated: 20 Oct, 2018 Attempts: 54 Corrects: 39 Wrongs: 15Your Answer upthrust buoyancy center of pressure None of the aboveCorrect Answer upthrust buoyancy center of pressure None of the above Show Answer Share on FacebookShare on Twitter buoyancy17. The conditions for the stable equilibrium of a floating body are : Dated: 20 Oct, 2018 Attempts: 40 Corrects: 17 Wrongs: 23Your Answer the meta-center should lie above the center of gravity the center of buoyancy and the center of gravity must lie on the same vertical line a righting couple should be formed all are correctCorrect Answer the meta-center should lie above the center of gravity the center of buoyancy and the center of gravity must lie on the same vertical line a righting couple should be formed all are correct Show Answer Share on FacebookShare on Twitter all are correct18. Metacentric height is given as the distance between : Dated: 20 Oct, 2018 Attempts: 39 Corrects: 33 Wrongs: 6Your Answer the center of gravity of the body and the meta-center the center of gravity of the body and the center of buoyancy the center of gravity of the body and the center of pressure center of buoyancy and meta-centerCorrect Answer the center of gravity of the body and the meta-center the center of gravity of the body and the center of buoyancy the center of gravity of the body and the center of pressure center of buoyancy and meta-center Show Answer Share on FacebookShare on Twitter the center of gravity of the body and the meta-center19. The buoyancy depends on : Dated: 20 Oct, 2018 Attempts: 54 Corrects: 28 Wrongs: 26Your Answer mass of liquid displaced viscosity of the liquid pressure of the liquid displaced depth of immersionCorrect Answer mass of liquid displaced viscosity of the liquid pressure of the liquid displaced depth of immersion Show Answer Share on FacebookShare on Twitter mass of liquid displaced20. The center of gravity of the volume of the liquid displaced by an immersed body is called : Dated: 20 Oct, 2018 Attempts: 46 Corrects: 35 Wrongs: 11Your Answer meta-center center of pressure center of buoyancy center of gravityCorrect Answer meta-center center of pressure center of buoyancy center of gravity Show Answer Share on FacebookShare on Twitter center of buoyancy21. A piece of metal of specific gravity 13.6 is placed in mercury of specific gravity 13.6, what fraction of its volume is under mercury : Dated: 20 Oct, 2018 Attempts: 41 Corrects: 26 Wrongs: 15Your Answer the metal piece will simply float over the mercury the metal piece will be immersed in mercury by half whole of the metal piece will be immersed with its top surface just at mercury level metal piece will sink to the bottomCorrect Answer the metal piece will simply float over the mercury the metal piece will be immersed in mercury by half whole of the metal piece will be immersed with its top surface just at mercury level metal piece will sink to the bottom Show Answer Share on FacebookShare on Twitter whole of the metal piece will be immersed with its top surface just at mercury level22. An odd shaped body weighing 7.5 kg and occupying 0.01 m^{3} volume will be completely submerged in a fluid having specific gravity of : Dated: 20 Oct, 2018 Attempts: 40 Corrects: 26 Wrongs: 14Your Answer 1 1.2 0.8 0.75Correct Answer 1 1.2 0.8 0.75 Show Answer Share on FacebookShare on Twitter 0.7523. The center of buoyancy of a submerged body : Dated: 21 Oct, 2018 Attempts: 42 Corrects: 19 Wrongs: 23Your Answer coincides with the center of gravity of the body coincides with the centroid of the displaced volume of the fluid is always below the center of gravity of the body is always above the centroid of the displaced volume of liquidCorrect Answer coincides with the center of gravity of the body coincides with the centroid of the displaced volume of the fluid is always below the center of gravity of the body is always above the centroid of the displaced volume of liquid Show Answer Share on FacebookShare on Twitter coincides with the centroid of the displaced volume of the fluid24. An object weighing 100 N in air was found to weigh 75 N when fully submerged in water. The relative density of the object is : Dated: 21 Oct, 2018 Attempts: 42 Corrects: 13 Wrongs: 29Your Answer 4.0 4.5 2.5 1.25Correct Answer 4.0 4.5 2.5 1.25 Show AnswerSee Explanation\[\begin{array}{c} {W_{actual}} = 100{\rm{ N}}\\ {W_{apparent}} = 75{\rm{ N}}\\ {W_{apparent}} = {W_{actual}} - {F_b}\\ 75 = 100 - {F_b}\\ {F_b} = 25{\rm{ N}}\\ {F_b} = {\gamma _w} \times V \to 25 = {\gamma _w} \times V\\ S.{G_{object}} = \frac{{{\gamma _{object}}}}{{{\gamma _w}}}\\ S.{G_{object}} = \frac{{{\raise0.5ex\hbox{$\scriptstyle {{W_{actual}}}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle V$}}}}{{{\gamma _w}}} = \frac{{{W_{actual}}}}{{{\gamma _w} \times V}} = \frac{{100}}{{25}}\\ S.{G_{object}} = 4 \end{array}\] Share on FacebookShare on Twitter 4.025. An iceberg has 12 % of its volume projecting above the surface of the sea. If the density of sea water is 1025 kg/m^{3}, the density of the iceberg is : Dated: 21 Oct, 2018 Attempts: 27 Corrects: 16 Wrongs: 11Your Answer 878 kg/m^{3} 1000 kg/m^{3} 1148 kg/m^{3} 902 kg/m^{3}Correct Answer 878 kg/m^{3} 1000 kg/m^{3} 1148 kg/m^{3} 902 kg/m^{3} Show AnswerSee Explanation\[\begin{array}{c} {V_{floating}} = 0.12V\\ {V_{immersed}} = 0.88V \to \frac{{{V_{immersed}}}}{V} = 0.88\\ {\rho _{sea}} = 1025{\rm{ kg/}}{{\rm{m}}^{\rm{3}}}\\ {F_b} = W\\ {\gamma _{sea}} \times {V_{immersed}} = {\gamma _{iceberg}} \times V\\ {\gamma _{iceberg}} = {\gamma _{sea}} \times \frac{{{V_{immersed}}}}{V}\\ {\rho _{iceberg}} = {\rho _{sea}} \times \frac{{{V_{immersed}}}}{V}\\ {\rho _{iceberg}} = 1025 \times 0.88\\ {\rho _{iceberg}} = 902{\rm{ kg/}}{{\rm{m}}^{\rm{3}}} \end{array}\] Share on FacebookShare on Twitter 902 kg/m^{3}26. An object weighs 50 N in water and 80 N in an oil of relative density 0.80. Its volume in liters is : Dated: 21 Oct, 2018 Attempts: 26 Corrects: 12 Wrongs: 14Your Answer 15.3 60.0 30.6 50.0Correct Answer 15.3 60.0 30.6 50.0 Show AnswerSee Explanation\[\begin{array}{c} {W_{app(water)}} = 50{\rm{ N}}\\ {W_{app(oil)}} = 80{\rm{ N}}\\ S.{G_{oil}} = 0.80\\ {W_{app(water)}} = {W_{actual}} - {F_{b(water)}}\\ 50 = {W_{actual}} - {\gamma _w} \times V\\ 50 = {W_{actual}} - 9810 \times V \to \\ {W_{app(oil)}} = {W_{actual}} - {F_{b(oil)}}\\ 80 = {W_{actual}} - {\gamma _{oil}} \times V\\ 80 = {W_{actual}} - 9810 \times 0.80 \times V \to \\ - \\ 30 = 9810 \times 0.20 \times V\\ V = {\rm{0}}{\rm{.0153 }}{{\rm{m}}^{\rm{3}}} \times 1000 = 15.3{\rm{ lit}} \end{array}\] Share on FacebookShare on Twitter 15.327. A floating body displaces : Dated: 21 Oct, 2018 Attempts: 43 Corrects: 14 Wrongs: 29Your Answer a volume of liquid equal in magnitude to its own volume a volume of liquid equal to its own submerged weight a weight of liquid equal in magnitude to its own weight a weight of liquid which depends upon the volume of the containerCorrect Answer a volume of liquid equal in magnitude to its own volume a volume of liquid equal to its own submerged weight a weight of liquid equal in magnitude to its own weight a weight of liquid which depends upon the volume of the container Show Answer Share on FacebookShare on Twitter a weight of liquid equal in magnitude to its own weight28. A metal block is thrown into a deep lake. As it sinks deeper in water, the buoyant force acting on it : Dated: 21 Oct, 2018 Attempts: 45 Corrects: 17 Wrongs: 28Your Answer increases remains the same decreases first increases and then decreasesCorrect Answer increases remains the same decreases first increases and then decreases Show Answer Share on FacebookShare on Twitter increases29. When a block of ice floating on water in a container melts, the level of water in the container : Dated: 21 Oct, 2018 Attempts: 41 Corrects: 9 Wrongs: 32Your Answer rises first falls and then rises remains the same fallsCorrect Answer rises first falls and then rises remains the same falls Show Answer Share on FacebookShare on Twitter falls30. When a ship enters sea from a river one can expect it : Dated: 21 Oct, 2018 Attempts: 40 Corrects: 22 Wrongs: 18Your Answer to rise a little to sink a little to remain at the same level of draft to rise or fall depending on whether it is of wood or steelCorrect Answer to rise a little to sink a little to remain at the same level of draft to rise or fall depending on whether it is of wood or steel Show Answer Share on FacebookShare on Twitter to rise a little31. Buoyant force is the : Dated: 21 Oct, 2018 Attempts: 45 Corrects: 17 Wrongs: 28Your Answer lateral force acting on a submerged body resultant force acting on a submerged body resultant hydrostatic force on a body due to fluid surrounding it the resultant force due to water on a bodyCorrect Answer lateral force acting on a submerged body resultant force acting on a submerged body resultant hydrostatic force on a body due to fluid surrounding it the resultant force due to water on a body Show Answer Share on FacebookShare on Twitter resultant hydrostatic force on a body due to fluid surrounding it32. A right circular wooden cone (specific gravity = 0.80) with a base diameter of 0.6 m and height of 0.8 m floats in water such that its axis is vertical and apex is downward. The immersed depth of cone is : Dated: 22 Oct, 2018 Attempts: 22 Corrects: 4 Wrongs: 18Your Answer 0.480 m 0.533 m 0.600 m 0.743 mCorrect Answer 0.480 m 0.533 m 0.600 m 0.743 m Show Answer Share on FacebookShare on Twitter 0.743 m33. A 12 cm steel cube (relative density = 7.6) is submerged in a two layered fluid system. The bottom layer is mercury (relative density = 13.6) and the top layer is kerosene (relative density = 0.80). The height of the top surface of the cube above the interface of the two liquids is : Dated: 22 Oct, 2018 Attempts: 19 Corrects: 9 Wrongs: 10Your Answer 5.63 cm 2.95 cm 6.0 cm zeroCorrect Answer 5.63 cm 2.95 cm 6.0 cm zero Show Answer Share on FacebookShare on Twitter 5.63 cm34. Two cubes of size 1.0 m sides, one of relative density = 0.60 and another of relative density = 1.15, are connected by a weightless wire and placed in a large tank of water. Under equilibrium, the lighter cube will project above the water surface to a height of : Dated: 23 Oct, 2018 Attempts: 19 Corrects: 3 Wrongs: 16Your Answer 10 cm zero 50 cm 25 cmCorrect Answer 10 cm zero 50 cm 25 cm Show Answer Share on FacebookShare on Twitter 25 cm35. If B = center of buoyancy, G = is the center of gravity and M = metacenter, of a floating body, the body will be in stable equilibrium if : Dated: 23 Oct, 2018 Attempts: 26 Corrects: 23 Wrongs: 3Your Answer MG = 0 M is below G BG = 0 M is above GCorrect Answer MG = 0 M is below G BG = 0 M is above G Show Answer Share on FacebookShare on Twitter M is above G36. In a floating body, I = moment of inertia of water line area about the longitudinal axis, V = volume of displaced fluid, B = center of buoyancy, G = center of gravity and M = metacenter. For stable equilibrium of this body : Dated: 23 Oct, 2018 Attempts: 25 Corrects: 0 Wrongs: 25Your Answer \[BG = \frac{I}{V} + MG\] \[MG = \frac{I}{V} + BG\] \[MG = \frac{I}{V}/MG\] \[BG + MG = \frac{I}{V}\]Correct Answer \[BG = \frac{I}{V} + MG\] \[MG = \frac{I}{V} + BG\] \[MG = \frac{I}{V}/MG\] \[BG + MG = \frac{I}{V}\] Show Answer Share on FacebookShare on Twitter \[MG = \frac{I}{V} + BG\]37. A body is floating in a liquid as shown in the following figure. The center of buoyancy, center of gravity and metacenter are labeled as B, G and M respectively. The body is : Dated: 23 Oct, 2018 Attempts: 28 Corrects: 12 Wrongs: 16Your Answer vertically stable vertically unstable rotationally stable rotationally unstableCorrect Answer vertically stable vertically unstable rotationally stable rotationally unstable Show Answer Share on FacebookShare on Twitter rotationally unstableSubmit Answers