Question

the density of substance is 0.6 g cm it float with 2/3rd of its volume in a liquid find the density of the liquid ​

Answer 1

Answer:

Density of liquid = 0.9 g/cm^3

Explanation:

Let total volume of the substance be x cm^3

=> Volume of submerged part = 2x/3 cm^3

For a floating body according to law of floatation,

Weight of the body = Upthrust provided by liquid

=> Volume of solid*density of solid*gravitational acceleration = Volume of solid submerged*density of liquid*gravitational acceleration

By rearranging the the variables we get,

Volume of solid submerged/Total volume of solid = density of solid/density of liquid

Substituting the variables,

(2x/3)/(x) = (0.6)/density of Liquid

=> density of liquid = (0.6*3)/2

= 0.9 g/cm^3