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The relative density of lead is 11.3.Its density in SI unit is1)1.13 × 10³2)1.13 × 10²3)1.13 × 10⁴4)1.13plzz answer it with explaination....
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The relative density of lead is 11.3.Its density in SI unit is1)1.13 ×...
3, Change mass into kg and volume in metre cube d=11.3 ×10^-3 /(10-2)^3 = 11.3 ×10 ^3 or 1.13 × 10^4
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The relative density of lead is 11.3.Its density in SI unit is1)1.13 ×...
The relative density of a substance is the ratio of its density to the density of a reference substance. In this case, the reference substance is usually water, which has a density of 1 gram per cubic centimeter (g/cm³) or 1000 kilograms per cubic meter (kg/m³).
The relative density of lead is given as 11.3. This means that the density of lead is 11.3 times greater than that of water. To find the density of lead in SI units, we need to multiply the density of water by the relative density of lead.
Density is defined as mass divided by volume. In SI units, the mass is measured in kilograms (kg) and the volume is measured in cubic meters (m³). So, the density of lead in SI units is given by:
Density of lead (kg/m³) = Density of water (kg/m³) × Relative density of lead
We know that the density of water is 1000 kg/m³, so we can substitute this value into the equation:
Density of lead (kg/m³) = 1000 kg/m³ × 11.3
Simplifying the equation gives:
Density of lead (kg/m³) = 11300 kg/m³
Therefore, the density of lead in SI units is 11300 kg/m³.
Now, let's consider the options given:
1) 1.13 × 10³: This is incorrect because it represents 1.13 multiplied by 10 raised to the power of 3, which is 1130. This value is not equal to the density of lead in SI units.
2) 1.13 × 10²: This is incorrect for the same reason as option 1. It represents 1.13 multiplied by 10 raised to the power of 2, which is 113. This value is also not equal to the density of lead in SI units.
3) 1.13 × 10⁴: This is incorrect because it represents 1.13 multiplied by 10 raised to the power of 4, which is 11300. This is the correct value for the density of lead in SI units.
4) 1.13: This is incorrect because it does not provide the units for the density. However, if we assume it represents grams per cubic centimeter (g/cm³), it would be equal to 1130 kg/m³. This value is not equal to the density of lead in SI units.
Therefore, the correct answer is option 3) 1.13 × 10⁴, which represents the density of lead in SI units as 11300 kg/m³.
The relative density of lead is given as 11.3. This means that the density of lead is 11.3 times greater than that of water. To find the density of lead in SI units, we need to multiply the density of water by the relative density of lead.
Density is defined as mass divided by volume. In SI units, the mass is measured in kilograms (kg) and the volume is measured in cubic meters (m³). So, the density of lead in SI units is given by:
Density of lead (kg/m³) = Density of water (kg/m³) × Relative density of lead
We know that the density of water is 1000 kg/m³, so we can substitute this value into the equation:
Density of lead (kg/m³) = 1000 kg/m³ × 11.3
Simplifying the equation gives:
Density of lead (kg/m³) = 11300 kg/m³
Therefore, the density of lead in SI units is 11300 kg/m³.
Now, let's consider the options given:
1) 1.13 × 10³: This is incorrect because it represents 1.13 multiplied by 10 raised to the power of 3, which is 1130. This value is not equal to the density of lead in SI units.
2) 1.13 × 10²: This is incorrect for the same reason as option 1. It represents 1.13 multiplied by 10 raised to the power of 2, which is 113. This value is also not equal to the density of lead in SI units.
3) 1.13 × 10⁴: This is incorrect because it represents 1.13 multiplied by 10 raised to the power of 4, which is 11300. This is the correct value for the density of lead in SI units.
4) 1.13: This is incorrect because it does not provide the units for the density. However, if we assume it represents grams per cubic centimeter (g/cm³), it would be equal to 1130 kg/m³. This value is not equal to the density of lead in SI units.
Therefore, the correct answer is option 3) 1.13 × 10⁴, which represents the density of lead in SI units as 11300 kg/m³.
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