Density of a material is CGS system of units is 4,g/cm^3 . In a system of units in which unit of len

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1.Units, Dimensions and Measurement

medium

The density of a material is $CGS$ system of units is $4\,g/cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$, the value of density of material will be

A$400$

B$0.04$

C$0.4$

D$40$

Solution

$4 \mathrm{g} \mathrm{cm}^{-3}=\frac{?}{\mathrm{n}_{2}} \mathrm{M}_{2} \mathrm{L}_{2}^{-3}$
$\mathrm{n}_{2}=4\left[\frac{\mathrm{g}}{\mathrm{M}_{2}}\right]\left[\frac{\mathrm{cm}}{\mathrm{L}_{2}}\right]^{-3}$
$=4\left[\frac{\mathrm{g}}{100 \mathrm{g}}\right]\left[\frac{\mathrm{cm}}{10 \mathrm{cm}}\right]^{-3}$
$=40$

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