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

1. 0.4
2. 4
3. 400
4. 0.04

Correct answer: 0.4

Solution

In the new system, the unit of length is 10 cm and the unit of mass is 100 g. The density in the new system is calculated as (density in CGS) × (conversion factor for mass) / (conversion factor for length)^3. Substituting, we get 4 × (1/100) / (10/1)^3 = 0.4.

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