Question

The density of water is 1 g / cm³. Its value in S.I. system is:
1. 10^-3 kg / m³
2. 10^-6 kg / m³
3. 10³ kg / m³
4. 13600 kg / m³

Answer 1

Correct Answer - Option 3 : 10³ kg / m³

Concept:

• SI unit: The units of measurements that are internationally accepted by the international organization and used worldwide for scientific measurement and calculations are known as SI units.
• The SI unit of mass is Kg and the volume is meter - cube m³.
• Density: It is defined as mass per unit volume of any object. Unit of density is unit of mass by unit of volume.
• 1 gram is equal to 10 ^-3 kg
• 1 cm is equal to 10 ^-2 m
• By this convention volume of 1 cm ³ = 10 ^-6 m³

Calculation:

 1 g / cm3.= 10 -3 kg / 10 -6 m3

⇒ 1 g / cm3.= 10 (6 - 3 )kg / m3 

⇒ 1 g / cm3.= 103 kg / m3

So, the correct option is 103 kg / m3