Question Details

The density of a material is 0.8 g cm³. Express it in Sl units.

Options

A

800 kg m⁻³

B

8000 kg m⁻³

C

80 kg m⁻³

D

0.8 kg m⁻³

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):
1  g = 10 - 3  kg
2. Conversion factor for length from centimeters (cm) to meters (m):
1  cm = 10 - 2  m

Now, let's find the conversion factor for volume from cubic centimeters (cm3) to cubic meters (m3):
1  cm 3 = ( 10 - 2  m ) 3 = 10 - 6  m 3

Using these conversion factors, we can express 1 g cm-3 in terms of kg m-3:
1  g  cm - 3 = 1  g 1  cm 3 = 10 - 3  kg 10 - 6  m 3 = 10 3  kg  m - 3 = 1000  kg  m - 3

Given that the density of the material is 0.8 g cm-3, we multiply this value by the conversion factor:
Density = 0.8 × 1000  kg  m - 3 = 800  kg  m - 3

Thus, the density of the material in SI units is 800 kg m-3.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

  • JEE
  • intermediate
  • 3 hours
  • chemical engineering, mathematics, physics