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This section includes 51 Mcqs, each offering curated multiple-choice questions to sharpen your Fluid Mechanics knowledge and support exam preparation. Choose a topic below to get started.
1. |
For stable equilibrium which of the following statement is true? |
A. | Centre of buoyancy is below of gravity for submerged body |
B. | Metacentre is below the centre of gravity for floating body |
C. | Metacentre is above the centre of gravity for floating body |
D. | Centre of buoyancy is coincide with centre of gravity for submerged body |
Answer» D. Centre of buoyancy is coincide with centre of gravity for submerged body | |
2. |
A block of wood 2 m long, 2 m wide and 1 m deep is floating horizontally in water. If density of wood is 800 kg/m3, then the volume of water displaced will be |
A. | 3.2 m3 |
B. | 2.6 m3 |
C. | 2 m3 |
D. | 6 m3 |
Answer» B. 2.6 m3 | |
3. |
For a body submerged in water, metacentric height for the rolling condition will be _______ metacentric height for pitching condition. |
A. | less than |
B. | more than |
C. | equal to |
D. | unrelated to |
Answer» B. more than | |
4. |
An empty bucket of negligible weight is inverted, forces down and submerged completely slightly below the water surface. Select the outcome from below that would be an incorrect outcome. |
A. | The pressure of air in the bucket rises above atmospheric pressure |
B. | If released, the bucket will sink |
C. | The water enters the bucket up to some distance above the rim |
D. | A force needs to be exerted downward on it to keep it submerged |
Answer» C. The water enters the bucket up to some distance above the rim | |
5. |
A ship has a metacentric height of 0.90 m and its period of rolling is 20 seconds. The relevant radius of gyration is nearly |
A. | 5.5 m |
B. | 7.5 m |
C. | 9.5 m |
D. | 11.5 m |
Answer» D. 11.5 m | |
6. |
A block of ice floating over water in a vessel slowly melts in it. The water level in the vessel will |
A. | Start rising |
B. | Start falling |
C. | Will remain constant |
D. | Will depend on temperature of water |
Answer» D. Will depend on temperature of water | |
7. |
A solid cylinder of circular section of diameter d is of material with specific gravity Ss. This floats in a liquid of specific gravity Sl. What is the maximum length of cylinder if equilibrium is to be stable with cylinder axis vertical? |
A. | \(\frac{{d{S_s}}}{{\sqrt {2{S_s}\left( {{S_l} - {S_s}} \right)} }}\) |
B. | \(\frac{{d{S_l}}}{{\sqrt {8{S_s}\left( {{S_l} - {S_s}} \right)} }}\) |
C. | \(\frac{{d{S_l}}}{{\sqrt {2{S_s}\left( {{S_l} - {S_s}} \right)} }}\) |
D. | \(\frac{d}{{\sqrt {8\left( {{S_l} - {S_s}} \right)} }}\) |
Answer» C. \(\frac{{d{S_l}}}{{\sqrt {2{S_s}\left( {{S_l} - {S_s}} \right)} }}\) | |
8. |
For a floating body to be in a stable equilibrium, where G is the centre of gravity, B is the center of buoyancy and M is the metacentre, which of the following statements is true? |
A. | M and G coincide |
B. | M is below G |
C. | M is above G |
D. | M and B coincide |
Answer» D. M and B coincide | |
9. |
Force of buoyancy on a floating body equals ________. |
A. | total pressure on the vertical projection of the body |
B. | total pressure on the horizontal projection of the body |
C. | weight of the liquid equal to the volume of the body |
D. | weight of the liquid equal to the immersed volume of the body |
Answer» E. | |
10. |
An object weighs 60 N in air and 55 N when fully submerged in water, its specific gravity is |
A. | 12 |
B. | 1 |
C. | 6 |
D. | 2 |
Answer» B. 1 | |
11. |
A uniform body 3 in long, 2 m wide and 1 m deep floats in water. If the depth of immersion is 0.60 m, then the weight of the body is: |
A. | 3.53 kN |
B. | 33.3 kN |
C. | 35.31 kN |
D. | none of these |
Answer» D. none of these | |
12. |
An object weighing 100 N in the air was found to weight 75 N when fully submerged in water. The relative density of the object is |
A. | 4 |
B. | 4.5 |
C. | 2.5 |
D. | 1.125 |
Answer» B. 4.5 | |
13. |
An odd-shaped container weighs 2 N when empty. If it is full of water it weighs 4907 N. Container's volume is ____.[Take the density of water as 1000 kg/m3 and gravitational acceleration as 9.82 m/s2]: |
A. | 250 litres |
B. | 500 litres |
C. | 750 litres |
D. | 1000 litres |
Answer» C. 750 litres | |
14. |
For a body floating in water, resultant pressure exerted by water acts at |
A. | Bottom surface of body |
B. | Centroid of portion of body under water |
C. | All points on the surface of body |
D. | Centroid of body |
Answer» C. All points on the surface of body | |
15. |
A piece of wood having weight of 10 kg floats in water with 60% of its volume under the liquid. Determine the specific gravity of wood. |
A. | 0.6 |
B. | 0.83 |
C. | 0.4 |
D. | 0.3 |
Answer» B. 0.83 | |
16. |
A block (rectangular cuboid) of density 800 kg/m3 floats face down in a fluid of density 1200 kg/m3 as shown in the figure. The block has a height H = 6 cm and it will be submerged by a depth h. Then h is equal to |
A. | 3 cm |
B. | 2 cm |
C. | 4 cm |
D. | 5 cm |
Answer» D. 5 cm | |
17. |
For a floating body, the buoyant force passes through the |
A. | Centre of gravity of the body |
B. | Centre of gravity of the submerged part of the body |
C. | Metacentre of the body |
D. | Centroid of the volume displaced by the body |
Answer» E. | |
18. |
A uniform wooden cylinder has a specific gravity of 0.5. Find the ratio of diameter to length of the cylinder so that it will just float upright in a state of neutral equilibrium in water |
A. | \(\sqrt 2 \) |
B. | \(\sqrt 3 \) |
C. | 2 |
D. | 3 |
Answer» B. \(\sqrt 3 \) | |
19. |
A 25 cm long prismatic homogeneous solid floats in water with its axis vertical and 10 cm projecting above water surface. If the same solid floats in some oil with its axis vertical and 5 cm projecting above the liquid surface then the specific gravity of the oil is |
A. | 0.55 |
B. | 0.65 |
C. | 0.75 |
D. | 0.85 |
Answer» D. 0.85 | |
20. |
A spherical balloon is filled with helium at sea level. Helium and balloon material together weigh 500 N. If the net upward lift force on the balloon is also 500 N, what is diameter of the balloon? |
A. | 5.42 m |
B. | 6.78 m |
C. | 3.43 m |
D. | 2.34 m |
Answer» B. 6.78 m | |
21. |
A body will be in a stable equilibrium in a floating condition if |
A. | The metacenter is below the centre of gravity |
B. | The metacenter is above the centre of gravity |
C. | The metacentric height is zero |
D. | The centre of buoyancy coincide with the cnetre of gravity |
E. | The metacenter coincide with the centre of buoyancy |
Answer» C. The metacentric height is zero | |
22. |
For a submerged body, if the centre of buoyancy is above the centre of gravity, the equilibrium is called as: |
A. | stable equilibrium |
B. | unstable equilibrium |
C. | neutral equilibrium |
D. | restoring equilibrium |
Answer» B. unstable equilibrium | |
23. |
A cube of 1 m side has weight 1000 N in water. What will be its weight in air (g = 10 m/s2)? |
A. | 1,000 N |
B. | 10,000 N |
C. | 9,000 N |
D. | 11,000 N |
Answer» E. | |
24. |
In the stability of floating bodies, the stable equilibrium is attained if the meta centre (M) point ______ the centre of gravity (G). |
A. | lies above |
B. | coincides with |
C. | is parallel to |
D. | lies below |
Answer» B. coincides with | |
25. |
For a floating body, buoyant force acts at the |
A. | centroid of the floating body |
B. | center of gravity of the body |
C. | centroid of the fluid vertically below the body |
D. | centroid of the displaced fluid |
Answer» E. | |
26. |
A vertical triangular plane area, submerged in water, with one side in the free surface, vertex downward and latitude ‘h’ was the pressure centre below the free surface by |
A. | h/4 |
B. | h/3 |
C. | 2h/3 |
D. | h/2 |
Answer» E. | |
27. |
A spherical balloon of 1.5 m diameter is completely immersed in water and chained to the bottom. If the chain has a tension of 10 kN, the weight of the balloon will be nearly |
A. | 9.11 kN |
B. | 8.22 kN |
C. | 6.44 kN |
D. | 7.33 kN |
Answer» E. | |
28. |
A body floating in a liquid is in a stable state of equilibrium if its |
A. | metacentre lies above its centre of gravity |
B. | metacenter lies below its center of gravity |
C. | metacenter coincides with its center of gravity |
D. | center of gravity is below its centre of buoyancy |
Answer» B. metacenter lies below its center of gravity | |
29. |
Name the point about which a body start oscillating when a body, floating in a liquid, is tilted even by a small angle. |
A. | Center of buoyancy |
B. | Center of gravity |
C. | Metacentre |
D. | Shear center |
Answer» D. Shear center | |
30. |
If the metacentric height of a floating object is positive, the object will be in: |
A. | stable equilibrium |
B. | stable or unstable equilibrium |
C. | unstable equilibrium |
D. | neutral equilibrium |
Answer» B. stable or unstable equilibrium | |
31. |
A body of weight M kgf is immersed in a fluid and displaces N kgf of fluid. The apparent weight of the body is |
A. | M + N kgf |
B. | N kgf |
C. | M - N kgf |
D. | none of these |
Answer» D. none of these | |
32. |
A balloon lifting in air follows the ______. |
A. | Law of gravitation |
B. | Archimedes principle |
C. | Principle of buoyancy |
D. | All options are correct |
Answer» E. | |
33. |
A cylindrical body of cross – sectional area A, height H and density ρs, is immersed to a depth h in a liquid of density ρ, and tied to the bottom with a string. The tension in the string is |
A. | ρghA |
B. | (ρs - ρ)ghA |
C. | (ρ - ρs)ghA |
D. | (ρh - ρsH)gA |
Answer» E. | |
34. |
A body just floats in sea water but sinks in river water because: |
A. | Sea water has lesser density than river water. |
B. | Sea water has greater density than river water. |
C. | Sea water exerts less upthrust on the body than river water. |
D. | River water is more contaminated than sea water. |
Answer» C. Sea water exerts less upthrust on the body than river water. | |
35. |
Metacentric height is the distance between |
A. | CG of body and centre of pressure |
B. | CG of body and the metacentre |
C. | CG of body and centre of buoyancy |
D. | None of the above |
Answer» C. CG of body and centre of buoyancy | |
36. |
For a floating body, If the metacentre is below the centre of gravity, then the body is said to be in ______ equilibrium. |
A. | neutral |
B. | stable |
C. | unstable |
D. | thermal |
Answer» D. thermal | |
37. |
A solid cylinder has the following specifications:Diameter = 6 m,Length = 3 mSpecific gravity of cylinder material = 0.6The cylinder is floating in water with its axis vertical. Which of the following is true for the cylinder?[M – Metacentre of the cylinder, G = Centre of gravity of cylinder] |
A. | Metacentre (M) is 0.65 m below the centre of gravity (G) and it is in unstable equilibrium. |
B. | Metacentre (M) is 0.65 m below the centre of gravity (G) and it is in stable equilibrium. |
C. | Metacentre (M) is 0.65 m above the centre of gravity (G) and it is in stable equilibrium. |
D. | Metacentre (M) is 0.65 m above the centre of gravity (G) and it is in unstable equilibrium. |
Answer» D. Metacentre (M) is 0.65 m above the centre of gravity (G) and it is in unstable equilibrium. | |
38. |
If B = centre of buoyancy, G = centre of gravity, B1 = new centre of buoyancy when the floating body rotates by an angle θ, then the location of metacentre will be: |
A. | in between point B and B1 |
B. | at the point of intersection of axis of floating body passing through B and G and vertical line passing through B1 |
C. | at the point of intersection of axis of floating body passing through B and G and horizontal line passing through B1 |
D. | same as B1 |
Answer» C. at the point of intersection of axis of floating body passing through B and G and horizontal line passing through B1 | |
39. |
A metal body floats at the interface of water and oil (sp. gr. = 0.85) such that 35% of its volume is submerged in water and 65% in oil. The density of metal would be: |
A. | 852.5 kg/m3 |
B. | 912.5 kg/m3 |
C. | 902.5 kg/m3 |
D. | Cannot be determined |
Answer» D. Cannot be determined | |
40. |
A metallic cube of side 10 cm, density 6.8 gm/cc is floating in liquid mercury (density 13.6 gm/cc), with 5 cm height of cube exposed above the mercury level. Water (density 1 gm/cc) is filled over this, to submerge the cube fully. The new height of cube exposed above mercury level is |
A. | 4.6 cm |
B. | 5.4 cm |
C. | 5.0 cm |
D. | 5.8 cm |
Answer» C. 5.0 cm | |
41. |
A solid cylinder of length H, diameter D and of relative density S floats in neutral equilibrium in water with its axis vertical. What is the ratio of H of D is S = 0.6? |
A. | 0.86 |
B. | 0.72 |
C. | 0.52 |
D. | 0.46 |
Answer» C. 0.52 | |
42. |
A small plastic boat loaded with pieces of steel rods is floating in a bath tub. If the cargo is dumped into the water, allowing the boat to float empty, the water level in the tub will |
A. | Rise |
B. | Fall |
C. | Remains the same |
D. | Rise and then fall |
Answer» C. Remains the same | |
43. |
A can has a total volume of 1200 cm3 and a mass of 200 g. How many grams of lead shots of density 11.4 g/cm3 could it carry without sinking in water? (density of water : 1 g/cm3) |
A. | 800 g |
B. | 1200 g |
C. | 1140 g |
D. | 1000 g |
Answer» E. | |
44. |
An ocean liner, 240 m long and 24 m wide, displace 654 MN of sea-water (ρ – 1025 kgf/m3). The second moment of inertia of the water plane about its fore-aft axis is \(\frac{2}{3}\) of that of the circumscribing rectangle. The position of the centre of buoyancy is 2.30 m below the centre of gravity. How high is the metacentre above the centre of buoyancy (to the nearest cm)? |
A. | 49 cm |
B. | 53 cm |
C. | 58 cm |
D. | 65 cm |
Answer» C. 58 cm | |
45. |
A metallic body floats at the interface of mercury (of specific gravity 13.6) and water such that 40% of its volume is in Mercury and 60% in water. Total buoyant force (in kN) experienced by the body is (V = Volume of the floating body, g = 10 m/s2) |
A. | 60.4 V |
B. | 48.4 V |
C. | 30.2 V |
D. | Cannot be determined since density of floating body is not provided |
Answer» B. 48.4 V | |
46. |
A piece of ore weighing 1.5 N in air and 1.1 N in water. Its volume is: |
A. | 40.8 m3 |
B. | 40.8 cm3 |
C. | 40.8 mm3 |
D. | 4.08 mm3 |
Answer» C. 40.8 mm3 | |
47. |
If two objects are weighed in water and both of them lose the same weight, then the two objects must have identical |
A. | Specific gravities |
B. | Weights in air |
C. | Densities |
D. | Volumes |
Answer» E. | |
48. |
A wooden block of length l is made to float in water with its axis vertical. The centre of gravity of the body is 0.15l above the centre of buoyancy. What is the specific gravity of the wooden block? |
A. | 0.6 |
B. | 0.65 |
C. | 0.7 |
D. | 0.75 |
Answer» D. 0.75 | |
49. |
Consider the following statements:1. If a small upward displacement is given to a floating body, it results in the reduction of the buoyant force acting on the body2. A slight horizontal displacement does not change either the magnitude or the location of the buoyant forceWhich of the above statements is/are correct? |
A. | Both 1 and 2 |
B. | 1 only |
C. | 2 only |
D. | Neither 1 nor 2 |
Answer» B. 1 only | |
50. |
An object weighs 50 N in water. Its volume is 15.3 litre. Its weight when fully immersed in oil by specific gravity 0.8 will be |
A. | 40 N |
B. | 62.5 N |
C. | 80 N |
D. | 65 N |
Answer» D. 65 N | |