What are the units of density in (i) C.G.S and (ii) S.I. system?

Answer

To determine the units of density in both the C.G.S (Centimeter-Gram-Second) and S.I (International System of Units) systems, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Density**:
- Density is defined as mass per unit volume. Mathematically, it can be expressed as:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

2. **Finding C.G.S Units**:
- In the C.G.S system:
- Mass is measured in grams (g).
- Volume is measured in cubic centimeters (cm³).
- Therefore, the unit of density in the C.G.S system can be expressed as:
\[ \text{Density}_{\text{C.G.S}} = \frac{\text{grams}}{\text{centimeter}^3} = \text{g/cm}^3 \]

3. **Finding S.I Units**:
- In the S.I system:
- Mass is measured in kilograms (kg).
- Volume is measured in cubic meters (m³).
- Thus, the unit of density in the S.I system can be expressed as:
\[ \text{Density}_{\text{S.I}} = \frac{\text{kilograms}}{\text{meter}^3} = \text{kg/m}^3 \]

### Final Answer:
- The units of density are:
- (i) C.G.S: \( \text{g/cm}^3 \)
- (ii) S.I: \( \text{kg/m}^3 \)