Question

The mass of a body whose volume is $2m^3$ and relative density is $0.52$ is X kg. Find the value of X.

• A. 0
• B. 1040
• C. 2080
• D. 3000

Answer 1

The correct option is B 1040

Relative density of a substance is the ratio of its density to the density of a reference substance. In this case, the reference substance is water.
That is, $Relativedensity=\frac{Densityoftheobject}{Densityofwater}$.
It is known that the density of water is $1000kg/m^3$ and the relative density is given as $\mathrm{0.52.}$
Substituting these values in the above formula, we get the density of the substance.
That is, Density of the substance = $0.52\times 1000kg/m^3=520kg/m^3$.
The mass of a body is calculated from the formula, $Mass=Density\times Volume$. The volume of the substance is given as $2m^3$.
Therefore, $Massofthesubstance=520kg/m^3\times 2m^3=1040kg.$

$thereforeX=1040kg$