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Q.

Choose the correct statements from the following :  

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a

A body will sink in a liquid if its weight is equal to or greater than the weight of liquid displaced by it

b

A body will float in a liquid if its weight is equal to or less than the weight of the liquid displaced by it.

c

When a body floats in a liquid, the portion of the body above the surface of liquid is independent of the density of body relative to that of the liquid.

d

In still air, a hydrogen - filled balloon rises up to a certain height and then stops rising.

answer is D.

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Detailed Solution

Upon reviewing the given options we get

Option(A) is given that when WBWl  displaced then body will sink.

But when WB=Wl  displaced

We get body is suspended by completely immersing in liquid

It will only sink if WB>Wl  displaced.

Option(B) is given that when WBWl  displaced then the body will float.

But when WB=Wl  displaced the body will be suspended by completely immersing in the liquid.

It will float when WB<Wl  displaced.

Option(C) when a body floats in a liquid the portion of the body present above the surface of liquid is independent of relative density of body with liquid.

But the portion remain above the surface certainly depend on the density of body relative to liquid.

Option(D) Hydrogen balloon rises up still air up to certain height only. Obviously true because the hydrogen balloon rise up until upthrust generated is equal to its weight and remain suspended at a particular height in still air.

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