The density of glass is `"2.8 gram"//"cc"` in CGS system. The value of density in SI unit is

Options

A. `2.8xx10^(-3)`
B. `2.8xx10^(-2)`
C. `2.8xx10^(2)`
D. `2.8xx10^(6)`

Explanation

To convert the density of glass from CGS units to SI units, we will follow these steps:

### Step 1: Understand the given density in CGS units
The density of glass is given as:
\[ \rho = 2.8 \, \text{g/cm}^3 \]

### Step 2: Convert grams to kilograms
In the SI system, mass is measured in kilograms. We know that:
\[ 1 \, \text{kg} = 1000 \, \text{g} \implies 1 \, \text{g} = \frac{1}{1000} \, \text{kg} \]
Thus, we can convert grams to kilograms:
\[ 2.8 \, \text{g} = 2.8 \times \frac{1}{1000} \, \text{kg} = 0.0028 \, \text{kg} \]

### Step 3: Convert cubic centimeters to cubic meters
In the SI system, volume is measured in cubic meters. We know that:
\[ 1 \, \text{m} = 100 \, \text{cm} \implies 1 \, \text{cm} = \frac{1}{100} \, \text{m} \]
Thus, converting cubic centimeters to cubic meters:
\[ 1 \, \text{cm}^3 = \left(\frac{1}{100} \, \text{m}\right)^3 = \frac{1}{1000000} \, \text{m}^3 = 10^{-6} \, \text{m}^3 \]

### Step 4: Substitute the conversions into the density formula
Now, substituting the converted values into the density formula:
\[ \rho = \frac{0.0028 \, \text{kg}}{10^{-6} \, \text{m}^3} \]

### Step 5: Simplify the expression
This simplifies to:
\[ \rho = 0.0028 \times 10^{6} \, \text{kg/m}^3 = 2.8 \times 10^{3} \, \text{kg/m}^3 \]

### Final Answer
Thus, the value of density in SI units is:
\[ \rho = 2.8 \times 10^{3} \, \text{kg/m}^3 \]

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