Density of a material in GGS system is 4g//cm^(3). If length 10 cm and mass 10g are accepted as new system of unit, then density, in new unit system will be……

Density of a material in GGS system is 4g//cm^(3). If length 10 cm and

1.	Density of a material in GGS system is 4g//cm^(3). If length 10 cm and mass 10g are accepted as new system of unit, then density, in new unit system will be……
Answer» `0.4` 40 400 0.04 Solution :`n_(1)=3g//cm^(3),n_(2)=?` `M_(1)=1g,M_(2)=100g` `L_(1)=1cm,L_(2)=10CM` `T_(1)=1s""T_(2)=1s` Dimensional formula of density `=M^(1)L^(-3)T^(0)` `:.n_(1)M_(1)^(1)L_(1)^(-3)T_(1)^(0)=n_(2)M_(2)^(1)L_(2)^(-3)T_(2)^(0)` `:.n_(2)=n_(1)((M_(1))/(M_(2)))^(1)((L_(1))/(L_(2)))^(-3)` `=4((1)/(100))^(1)((1)/(10))^(-3)` `=4xx(1)/(100)xx(10)^(3)` =40 UNITS