Density And Pressure

Step 1: Identify the density in the CGS system.
The density of the substance is given as 4 g/cc, which is in the CGS system of units (grams for mass and centimeters for length).
Step 2: Define the units in the new system.
In the new system:
Unit of length ( ) = 5 cm
Unit of mass ( ) = 20 g

Step 3: Express the density in terms of the new units.
Let the numerical value of the density in the new system be . The dimensions of density are [Mass]/[Length] .

Step 4: Equate the density in both systems.
Since the density of the substance remains the same, we can equate the expressions from Step 1 and Step 3:

Step 5: Solve for the numerical value in the new system ( ).
Divide both sides by :
Thus, the density of the substance in the new system is 25 units.