AP EAPCET 08-Jul-2022 Shift 1 Paper

In water, by Archimedes principle,
Weight = Upthrust
Weight of fluid displaced = Volume inside water
⇒mg=

2

3

V⋅ρw⋅g×pw×g ...(i)
let x part of volume be above surface in liquid of density ρ then,
mg=(1−x)V⋅ρ⋅g ...(ii)
⇒(1−x)Vρg=

2

3

Vρwg
⇒1−x=

2

3

⋅

ρw

ρ

=

2

3

×(

1

specific gravity

)
As, specific gravity =

ρfluid

ρwater

Here, specific gravity =1.5
Hence,x=

2

3×1.5

=

4

9

V−

4

9

V=

5

9

V part of volume of object lies above the surface of liquid.