Density of a material in CGS system of units is 4, g, cm^{-3} . In a system of units in w

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1.Units, Dimensions and Measurement

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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

A$0.04$

B$0.4$

C$40$

D$400$

(AIPMT-2011)

Solution

As, ${n_1}{u_1} = {n_2}{u_2}$
$4\frac{g}{{c{m^3}}} = {n_2}\frac{{100g}}{{{{\left( {10\,cm} \right)}^3}}} \Rightarrow {n_2} = 40$

Standard 11

Physics

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