Question

Volume of a body is 40cc. The body can float in water keeping three fourth part of it under water. Find the mass and density of the body.​

Answer 1

Answer:

Consider mass of the body be M and volume v.

weight of the body =Mg which is bounced by Buoyant Force

Let density of the two liquid be ρ

1

& ρ

2

. (ρ

1

=1 g/cc for water)

n first liquid only 2v/3 in immersed (water)

so, Mg=

3

2v

ρ

1

g→(10 [Buoyant force = weight of liquid displaced]

similarly for liquid (2),

4

v

in immersed

Mg=

4

8v

ρ

2

g→(20 [volume Immersed =volume -volume outside]

Comparing (1) & (20

3

2v

ρ

1

=

4

v

ρ

2

⇒ ρ

2

=

3

8

ρ

1

as in water ρ

1

=l g/cc

⇒ ρ=

3

8

g/cc