A body floating in a liquid is said to be in neutral equilibrium, if its metacentre

The following terms relate to floating bodies: where G = Centre of gravity, M = Meta Centre, W = Weight of floating body, FB = Buoyant force. Match List-I with List-II and select the correct answer. List-I (Condition) List-II (Result) A. G is above M 1. Stable equilibrium B. G and M coincide 2. Unstable equilibrium C. G is below M 3. Floating body D. FB ≥ W 4. Neutral equilibrium

A

A-1, B-3, C-2, D-4

B

A-3, B-1, C-4, D-2

C

A-2, B-4, C-1, D-3

D

A-2, B-3, C-4, D-1

The floating body is said to be in neutraL equilibrium if the metacentre is above the centre of gravity.

A

True

B

False

The floating body is said to be in unstable equilibrium if the metacentre is below the centre of gravity.

A

True

B

False

For a floating body to be in stable equilibrium, its metacentre should be

A

below the center of buoyancy

B

above the center of buoyancy

C

between e.g. and center of pressure

D

above the center of gravity.

For an unstable equilibrium of a floating body (where, M = metacentre.)

A

M is above G

B

M is below G

C

M & G coincide

D

None of these

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

In order to determine acidic, basic or neutral character of solutions, a student tabulated the following results after experimentation. Which of the following observations has been tabulated correctly? Case Test Solution Colour change on red litmus paper Colour change on blue litmus paper Acidic/Basic/Neutral A NaOH No change Red Acidic B Sour Milk Blue No change Neutral C Vinegar No change No change Neutral D Washing soda Blue No change Basic

A

B

C

D

In order to determine acidic, basic or neutral character of solutions, a student tabulated the following results after experimentation. Which of the following observations has been tabulated correctly? Case Test Solution Colour change on red litmus paper Colour change on blue litmus paper Acidic/Basic/Neutral A NaCl No change Red Acidic B Lime water Blue No change Neutral C Vinegar No change No change Neutral D Washing soda Blue No change Basic

A

B

C

D

The curve of metacentre for a floating body __________ the curve of buoyancy.

A

Is always below

B

Is the evolute of

C

Intersects at right angle

D

Is tangential to

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

A body floating in a liquid is said to be in neutral equilibrium, if its metacentre

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