Question

A body floats with one third of its volume outside water and 3/4 of its volume outside another liquid. The density of the other liquid is -

(1) 9/4 gm/c.c 

(2) 4/3 gm/c.c

(3) 8/3 gm/c.c 

(4) 3/8 gm/c.c

Answer 1

Correct Answer is: (3) 8/3 gm/c.c 

Let V be the volume of the body. Weight of body is equal to weight of water displaced

= 2/3 V x 1 x g

In another liquid, weight of body

= 1/4 V x ρ x g

∴ 2/3 V g = 1/4 V ρg or ρ = 8/3 gm/c.c.