The density of a material is 0.8 g cm³. Express it in Sl units.
Correct Answer :
800 kg m⁻³
Solution :
The correct option is 800 kg m-3.
To convert the density from CGS units (grams per cubic centimeter, or g cm-3) to SI units (kilograms per cubic meter, or kg m-3), we can use the standard conversion factors for mass and volume.
First, let's write down the relationships between the units:
1. Conversion factor for mass from grams (g) to kilograms (kg):
2. Conversion factor for length from centimeters (cm) to meters (m):
Now, let's find the conversion factor for volume from cubic centimeters (cm3) to cubic meters (m3):
Using these conversion factors, we can express 1 g cm-3 in terms of kg m-3:
Given that the density of the material is 0.8 g cm-3, we multiply this value by the conversion factor:
Thus, the density of the material in SI units is 800 kg m-3.
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