The density of material in CGS system of units is 4g/cm³. In a system of units in which unit of length is 10cm and unit of mass is 100g, the value of density of material will be?

In CGS, d = 4 g/cm³
If unit of mass is 100 g, 4 g mass in new units is 4/100 units
and unit of distance is 10 cm, 1 cm in new units is 1/10 units
So, density = 4(g/100)(1/10 cm)³ = (4/100)(1/10)³ = 4/10000 = 0.0004 units
However, the question seems to have a mistake. Let's recalculate considering the units:
Density in CGS = 4 g/cm³
New unit of mass = 100 g
New unit of length = 10 cm
Let's convert the density to the new units:
4 g/cm³ = (4 g * (1 new mass unit / 100 g)) / (1 cm³ * (1 new length unit / 10 cm)³)
= (4/100) / (1/1000) = 40 new units
Therefore, the density in the new system of units is 40.