Question

Density of a substance is 13 g/cm³. Its density in S.I. will be: 

1. 13 × 10² kg/m³
2. 13 × 10³ kg/m³
3. 13 × 10⁹ kg/m³
4. 13 × 10⁶ kg/m³

Answer 1

Correct Answer - Option 2 : 13 × 10³ kg/m³

Concept:

• Density: The mass per unit volume is called density.

Density (ρ) = Mass (m)/Volume (m3)

• The SI unit of density is kg/m3.

Calculation:

Given: Mass = 13 g = 13 × 10^-3 Kg

Volume = 1 cm³ = (1 × 10^-2)³ = 1 × 10^-6 m³

In SI unit

\(Density = \frac{{13\;g}}{{c{m^3}}} = \frac{{13 × {{10}^{ - 3}}kg}}{{{{10}^{ - 2}}^3{m^3}}} = \frac{{13 × {{10}^{ - 3}}kg}}{{{{10}^{ - 6}}{m^3}}} = 13 × 10^{3}\;kg/{m^3}\)