Question:

Detailed Explanation:

Let us analyze each option based on standard definitions from the SI (International System of Units) and the IPS (Inch-Pound-Second) systems:

1. Incorrect: In SI system of units, the unit of mass is \( \frac{1\text{g}}{\text{m} \cdot \text{m}^3} \)

This is a wrong expression for the unit of mass. The SI base unit of mass is the kilogram (kg). The expression given resembles a unit of density, and even then it is dimensionally incorrect.

2. Incorrect: Degree Celsius is the unit of temperature in SI system of units

While degrees Celsius (°C) is used for convenience, the **SI base unit of temperature is the kelvin (K)**. °C can be used for relative temperatures or differences but is not the standard base unit.

3. Incorrect: In Sl system of units, the unit of mass density is \( \frac{1\text{kg}}{\text{m}^3} \)

This statement has multiple issues:

• “Sl system” is most likely a typo and refers to the IPS (Inch-Pound-Second) system.
• The IPS system does not use kg/m³. Instead, it uses **slug/ft³** or similar units for density.
• Kg/m³ is the **SI unit** of density.

4. Incorrect: G is the unit of acceleration in IPS system of units

The gravitational constant “G” is not a unit of acceleration. In the IPS system:

• The unit of acceleration is **feet per second squared (ft/s²)**.
• Sometimes accelerations are expressed in terms of **“g”**, where \( 1g \approx 32.2 \, \text{ft/s}^2 \), but “g” is a reference value, not a formal unit.

Conclusion:

None of the given statements are correct. Each contains either a unit mismatch, dimensional error, or confusion between measurement systems.

The SI base units are strictly defined and must not be confused with derived or customary units used in other systems like IPS.