Question

The relative density of a metal alloy is $5.6$. Its density in SI units will be

• A. $5.6\frac{kg}{m^3}$
• B. $1005.6\frac{kg}{m^3}$
• C. $5600\frac{kg}{m^3}$
• D. $5.6\times {10}^{-3}\frac{kg}{m^3}$

Answer 1

The correct option is C

$5600\frac{kg}{m^3}$

Relative density is defined as the ratio of the density of the substance to the density of water under similar conditions.

$$\begin{gathered} Step1:- \\ Givendata, \\ Relativedensity=5.6 \\ Step2:- \\ Weknownthat, \\ Densityofwater=1000\frac{kg}{m^3} \\ Step3:-Solution, \\ \Rightarrow Relativedensity=\frac{Densityofsubs\tan ce}{Densityofwater} \\ \Rightarrow 5.6=\frac{Densityofalloy}{1000} \\ \Rightarrow Densityofalloy=5.6\times 1000 \\ \Rightarrow Densityofalloy=5600\frac{kg}{m^3} \end{gathered}$$

Hence, option (C) is correct.