The density of a material in CGS system of units is $8 \mathrm{~g} \mathrm{~cm}^{-3}$. In a system o

Question

The density of a material in CGS system of units is $8 \mathrm{~g} \mathrm{~cm}^{-3}$. In a system of units in which unit of length is $20 \mathrm{~cm}$ and unit of mass is $400 \mathrm{~g}$ , the value of density of material will be

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(d) : As $n_{1} u_{1}=n_{2} u_{2} \Rightarrow 8 \frac{\mathrm{~g}}{\mathrm{~cm}^{3}}=n_{2} \frac{400 \mathrm{~g}}{(20 \mathrm{~cm})^{3}} \Rightarrow n_{2}=8 	imes \frac{8000}{400}=160$