Question

Two solids A and B float in water it is observed that A floats with 1/2 of its body immersed in water and B floats with 1/4 of its volume above water level the ratio of density of a to that of B is​

Answer 1

Explanation:

Let the density of A be a and the density of B be b

Given that,

From Archimedes principle,

V(total volume of body A )*a*g=(volume of body A inside water) *density*g

(Volume of body inside water/total volume of body A) =(a/density of water)=1/2------>1

Similarly

(b/density of water)=3/4----->2

Divide 1 by 2

We get

a/b =2/3

The ratio is 2:3