QUESTION IMAGE
Question
which is an si unit for density?
o g/l³
o ml/cm³
o cm³
o g/cm³
Step1: Recall SI units
SI unit of mass is kilogram (kg) and of volume is cubic - meter ($m^{3}$). Density $
ho=\frac{m}{V}$, so SI unit of density is $\frac{kg}{m^{3}}$. But in some common non - SI but widely used units, density can be expressed in $\frac{g}{cm^{3}}$.
Step2: Analyze each option
- $g/L^{3}$: Litre ($L$) is not an SI unit of volume ($1L = 1dm^{3}=10^{- 3}m^{3}$), so $g/L^{3}$ is not an SI unit for density.
- $mL/cm^{3}$: Millilitre ($mL$) is a non - SI unit of volume ($1mL = 1cm^{3}$), and this is a ratio of volume to volume, not a unit of density.
- $cm^{3}$: This is a unit of volume, not density.
- $g/cm^{3}$: Although gram ($g$) is a non - SI unit of mass ($1g = 10^{-3}kg$) and $cm^{3}$ is a non - SI unit of volume ($1cm^{3}=10^{-6}m^{3}$), it is a common unit for density.
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$g/cm^{3}$