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A substance has a density of 4 g/cm³ in the CGS system. If a new unit system is used where the unit of length is 10 cm and the unit of mass is 100 g, what is the numerical value of the density in that system?
- 0.4 unit
- 40 unit
- 400 unit
- 0.04 unit
Correct answer: 40 unit
Solution
Density has dimensions M/L^3, so n2 = 4 * (1 g / 100 g) * (10 cm / 1 cm)^3 = 4 * (1/100) * 1000 = 40 units.
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