The relative density of lead is 11.3. Its density in SI unit isa)1.13 ...
∴ Density of lead = 11.3 × 1 × 103 kg m−3
(∵ Density of water = 1 × 103 kg m−3)
= 11.3 × 103 kg m−3 = 1.13 × 104 kg m−3
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The relative density of lead is 11.3. Its density in SI unit isa)1.13 ...
Understanding Relative Density
Relative density (also known as specific gravity) is a dimensionless quantity that compares the density of a substance to the density of water at a specific temperature (usually 4°C). For lead, the relative density is given as 11.3.
Calculating Density in SI Units
To find the density of lead in SI units (Kg/m³), we use the following relationship:
- The density of water is approximately 1000 Kg/m³.
- The formula for relative density is:
Relative Density = Density of Substance / Density of Water
By rearranging this formula, we can calculate the density of lead:
- Density of Lead = Relative Density × Density of Water
- Density of Lead = 11.3 × 1000 Kg/m³ = 11,300 Kg/m³
Interpreting the Answer
The calculated density of lead is 11,300 Kg/m³. In scientific notation, this can be expressed as:
- 11,300 Kg/m³ = 1.13 × 10^4 Kg/m³
Thus, the correct answer is option 'C' (1.13 × 10^4 Kg/m³).
Options Overview
- a) 1.13 × 10³ Kg/m³ → Incorrect
- b) 1.13 × 10² Kg/m³ → Incorrect
- c) 1.13 × 10⁴ Kg/m³ → Correct
- d) 11.3 Kg/m³ → Incorrect
Conclusion
Hence, the density of lead in SI units is indeed 1.13 × 10^4 Kg/m³, confirming that option 'C' is the right choice. Understanding these conversions is essential for physics and chemistry, especially in examinations like NEET.
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