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Q.

A solid body is found floating in  water with (αβ)th of its volume submerged. The same solid is found floating in a liquid with  (αβ)th of its volume above the liquid surface the specific gravity of the liquid is

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a

βαα

b

αββ

c

αβα

d

βαβ

answer is C.

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Detailed Solution

Weight of the solid = αβ×1000×V×g.

Now, in the liquid, weight of solid = weight of the liquid displaced.

αβ×1000×V×g=1-αβ×V×ρ×g

So, the specific gravity of liquid =αα-β

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A solid body is found floating in  water with (αβ)th of its volume submerged. The same solid is found floating in a liquid with  (αβ)th of its volume above the liquid surface the specific gravity of the liquid is