One nanometre is equal to

Options

A. `10^(9)` mm
B. `10^(-6)` cm
C. `10^(-7)` cm
D. `10^(-9)` cm.

Answer

To solve the question "One nanometre is equal to", we will follow these steps:

### Step 1: Understand the definition of a nanometre
A nanometre (nm) is a unit of length in the metric system. It is defined as one billionth of a meter.

### Step 2: Write the conversion of nanometres to meters
1 nanometre = \( 10^{-9} \) meters

### Step 3: Convert nanometres to centimeters
We know that:
1 meter = 100 centimeters

To convert nanometres to centimeters, we can use the following formula:
\[ \text{Length in cm} = \text{Length in m} \times 100 \]

Substituting our value:
\[ 1 \text{ nm} = 10^{-9} \text{ m} \]
\[ 1 \text{ nm} = 10^{-9} \text{ m} \times 100 \text{ cm/m} \]
\[ 1 \text{ nm} = 10^{-9} \times 100 \text{ cm} \]
\[ 1 \text{ nm} = 10^{-7} \text{ cm} \]

### Step 4: Convert nanometres to millimeters
We know that:
1 meter = 1000 millimeters

To convert nanometres to millimeters, we can use the following formula:
\[ \text{Length in mm} = \text{Length in m} \times 1000 \]

Substituting our value:
\[ 1 \text{ nm} = 10^{-9} \text{ m} \]
\[ 1 \text{ nm} = 10^{-9} \text{ m} \times 1000 \text{ mm/m} \]
\[ 1 \text{ nm} = 10^{-9} \times 1000 \text{ mm} \]
\[ 1 \text{ nm} = 10^{-6} \text{ mm} \]

### Final Answer
Thus, we have:
- 1 nanometre = \( 10^{-7} \) centimeters
- 1 nanometre = \( 10^{-6} \) millimeters