The density of the material in CGS system of the units is 4g/cm^3.In a system of units in which unit of length is 10 cm and the unit of mass is 100g,whatis the value of the density of the material?

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Solution

$F o r s i m p l i c i t y l e t u s a s s u m e t h e d e n s i t y i s \frac{m}{l^{3}} n o w m b e c o m e s M = 100 m a n d l b e c o m e s L = 10 l i n C G S m e t h o d . s o ρ' = \frac{M}{L^{3}} = \frac{100 m}{(10 l)^{3}} = \frac{1}{10} \frac{m}{l^{3}} = \frac{4}{10} = 0.4 g / c m^{3} i n n e w d i m e n s i o n s p a c e .$

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