Density of wood is `0.5 g//c c` in the CGS system of units. The corresponding value in MKS units is

Options

A. 500
B. `0.5`
C. `5xx10^(-2)`
D. `5000`

Answer

To convert the density of wood from the CGS system to the MKS system, follow these steps:

### Step 1: Understand the given density
The density of wood is given as:
\[ \text{Density} = 0.5 \, \text{g/cm}^3 \]

### Step 2: Convert grams to kilograms
We know that:
\[ 1 \, \text{gram} = 10^{-3} \, \text{kilograms} \]
Thus, to convert grams to kilograms, we multiply by \(10^{-3}\):
\[ 0.5 \, \text{g} = 0.5 \times 10^{-3} \, \text{kg} \]

### Step 3: Convert cubic centimeters to cubic meters
We also know that:
\[ 1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3 \]
So, we can express the volume in cubic meters:
\[ 1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3 \]

### Step 4: Write the density in MKS units
Now, substituting these conversions into the density formula:
\[ \text{Density} = \frac{0.5 \times 10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3} \]

### Step 5: Simplify the expression
When we divide by \(10^{-6}\), it is equivalent to multiplying by \(10^{6}\):
\[ \text{Density} = 0.5 \times 10^{-3} \times 10^{6} \, \text{kg/m}^3 \]
\[ = 0.5 \times 10^{3} \, \text{kg/m}^3 \]
\[ = 500 \, \text{kg/m}^3 \]

### Final Answer
Thus, the corresponding value of the density of wood in MKS units is:
\[ \text{Density} = 500 \, \text{kg/m}^3 \]

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