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Q.

A body is floating in water in stable equilibrium. If G be its centre of gravity, B is the centre of buoyancy and M be its metacentre, then 

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a

M must lie above G and B may lie below G

b

B must lie below G

c

B may lie above G but M must lie between G and B

d

M must lie between B and G

answer is C.

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Detailed Solution

In the filled position of the body (angle of lift θ is very small), the centre of buoyancy B is shifted to the new position B1. In this case buoyant force FB and weight W form a restoring moment which brings the body back to the original position as shown in Figure - (1). Restoring moment can be formed only when M lies above G. But B may lie above or below G. 

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