# Fluid Mechanics – Buoyancy & Floatation MCQ – Set 3 (15 MCQs)

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#### Fluid Mechanics – Buoyancy & Floatation MCQ – Set 3 (15 MCQs)

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### Question No.1

The center of buoyancy of a submerged body :

• 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

### Question No.2

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 :

• 4.0
• 4.5
• 2.5
• 1.25

### Question No.3

An iceberg has 12 {d8436e6188dc3d199bf8c3981ea7a790e12a890a66b7d0a0d43491ce624dcb00} of its volume projecting above the surface of the sea. If the density of sea water is 1025 kg/m3, the density of the iceberg is :

• 878 kg/m3
• 1000 kg/m3
• 1148 kg/m3
• 902 kg/m3

### Question No.4

An object weighs 50 N in water and 80 N in an oil of relative density 0.80. Its volume in liters is :

• 15.3
• 60.0
• 30.6
• 50.0

### Question No.5

A floating body displaces :

• 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

### Question No.6

A metal block is thrown into a deep lake. As it sinks deeper in water, the buoyant force acting in it :

• increases
• remains the same
• decreases
• first increases and then decreases

### Question No.7

When a block of ice floating on water in a container melts, the level of water in the container :

• rises
• first falls and then rises
• remains the same
• falls

### Question No.8

When a ship enters sea from a river one can expect it :

• 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

### Question No.9

Buoyant force is the :

• 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

### Question No.10

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 :

• 0.480 m
• 0.533 m
• 0.600 m
• 0.743 m

### Question No.11

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 :

• 5.63 cm
• 2.95 cm
• 6.0 cm
• zero

### Question No.12

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 :

• 10 cm
• zero
• 50 cm
• 25 cm

### Question No.13

*49- 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 :

• MG = 0
• M is below G
• BG = 0
• M is above G

### Question No.14

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 :

• $BG = \frac{I}{V} + MG$
• $MG = \frac{I}{V} + BG$
• $MG = \frac{I}{V}/MG$
• $BG + MG = \frac{I}{V}$

### Question No.15

*51- 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 :

• vertically stable
• vertically unstable
• rotationally stable
• rotationally unstable

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