The density of a material in c.g.s system is 2g/cc. In a system of units in which units of length is 2cm, and unit of mass is 4g, What is the numerical value of density of the material is

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Detailed Solution

$\begin{array}{l} N_{1} U_{1} = N_{2} U_{2} \\ N_{1} M_{1} L_{1}^{- 3} = N_{2} M_{2} L_{2}^{- 3} \\ N_{2} = N_{1} [\frac{M_{1}}{M_{2}}] {[\frac{L_{1}}{L_{2}}]}^{- 3} \\ \Rightarrow 2 \times [\frac{1}{4}] {[\frac{1}{2}]}^{- 3} = 4 \end{array}$

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