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 (Detailed Solution Below)

Option 2 : 13 × 103 kg/m3
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Detailed Solution

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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

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

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