The density of a substance is 4 ~g / cc in a system in which unit of length is 5 ~cm and unit of mass is 20 ~g . The density of the substance in CGS system is

Step-by-step solution

Density of substance, =4 ~g / cc Unit of length, L =5 ~cm Unit of mass, M=20 ~g density of substance in CGS ₇ aligned & density = Mass volume = M L^3 & ^ = 4 gm 1 ~cm ^3 = 4 20 20 ( gm ) (1 5 5 )^3 ~cm ^3 & = ( 4 20 )(20 gm ) ( 1 5 )^3(5 ~cm )^3 & 4 20 (5)^3 1 [ 20 gm 5 ~cm ^3 ] & 1 5 5^3 unit & 5^2=25 unit & ^ =25 unit aligned