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  4. The density of a material in CGS system of units is 4 g cm3. 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

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Q. The density of a material in $CGS$ 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

AIPMTAIPMT 2011Physical World, Units and Measurements

Solution:

As $n_{1} u_{1}=n_{2} u_{2}$
$4 \frac{g}{ cm ^{3}}=n_{2} \frac{100 g }{(10 cm )^{3}}$
$ \Rightarrow n_{2}=40$