Question

The density of a material in cgs system is 8 g/cm3.In a system of a unit in which unit of length is 5 cm and unit of mass is 20 g,the density of material will be
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Answer 1

$\huge \mathfrak{ \underline{ \red{ Solution}}}$

$p = \frac{8gm}{ {cm}^{3} }$

${p}^{1} = \frac{20gm}{ {5}^{3} {(cm)}^{3} }$

$\frac{p}{ {p}^{1} } = \frac{8}{ (\frac{20}{ {5}^{3} } )} = \frac{125 \times 8}{20} = {\red {50 \: units}}$