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:
Weight of the
solid=(αβ)×1000Vg
Now, in the liquid, weight of solid =
weight of the liquid displaced.
(αβ)1000Vg=(1−αβ)V×λg
(αβ)1−αβ1000=λ
So, specific graVity of liquid=αββ−αp=αβ−α