The size of colloidal particles lie between:

Options

A. `10^(-7)-10^(-4)cm`
B. `10^(-9)-10^(11)cm`
C. `10^(-5)-10^(-7)cm`
D. `10^(-2)-10^(-3)cm`

Explanation

To determine the size of colloidal particles, we need to analyze the given options and convert the measurements appropriately. Here’s a step-by-step solution:

### Step 1: Understand the Size of Colloidal Particles
Colloidal particles typically range in size from 1 nanometer (nm) to 1000 nanometers (1 micrometer).

### Step 2: Convert Nanometers to Centimeters
1 nanometer (nm) is equal to \(10^{-9}\) meters. To convert nanometers to centimeters, we use the conversion factor that 1 meter is equal to 100 centimeters:
\[ 1 \, \text{nm} = 10^{-9} \, \text{m} \times \frac{100 \, \text{cm}}{1 \, \text{m}} = 10^{-9} \times 10^{2} \, \text{cm} = 10^{-7} \, \text{cm} \]

### Step 3: Determine the Range of Colloidal Particle Sizes
Since colloidal particles can range from 1 nm to 1000 nm, we convert both extremes:
- The lower limit (1 nm):
\[ 1 \, \text{nm} = 10^{-7} \, \text{cm} \]
- The upper limit (1000 nm):
\[ 1000 \, \text{nm} = 1000 \times 10^{-7} \, \text{cm} = 10^{3} \times 10^{-7} \, \text{cm} = 10^{-4} \, \text{cm} \]

### Step 4: Finalize the Size Range
Thus, the size of colloidal particles lies between:
\[ 10^{-7} \, \text{cm} \, \text{to} \, 10^{-4} \, \text{cm} \]

### Conclusion
The correct answer is that the size of colloidal particles lies between \(10^{-7} \, \text{cm}\) and \(10^{-4} \, \text{cm}\).

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