Question

A solid weigh 15gm in air and 13gm when completely immersed in a liquid at relative density 0.8 find volume of sold and relative density of solid

Answer 1

Volume and density of solid is $5 \ cm^3$ and $3 \ g/cm^3$ respectively .

Let , density of solid  $\rho_s$ .

Volume of solid , $V$

Given :

Density of liquid , $\rho_l=0.8 \ .$

We know ,

$V\rho_s g=15g \\\\V\rho_s=15$

Also, given is weight of solid in liquid is 15 gm .

Also, Reduced of weight = Weight of the solid - Weight of liquid displaced by the water

$13g=V\rho_sg-V\rho_lg\\\\13=V\rho_s-V\times 0.8\\\\13=15-0.8V\\\\V=5 \ cm^3.$

Therefore, density of solid , $\rho=\dfrac{M}{V}=\dfrac{15}{5}=3 \ g/cm^3.$

Hence, this is the required solution.

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