The density of material in the CGS system of units is 4 g cm - 3 . In a system of units in which unit of length is 10 cm and the unit of mass is 100 g , the value of density of the material will be

Step-by-step solution

In the CGS system, d = 4 g cm - 3 The unit of mass is 100 g and unit of length is 10 cm , so density = 4 ( 100 g 100 ) ( 10 10 cm ) 3 = ( 4 100 ) ( 1 10 ) 3 ( 100 g ) ( 10 cm ) 3 = 4 100 × ( 10 ) 3 100 g ( 10 cm ) 3 = 40 units