A given double stranded DNA molecule is 10000 base-pairs long. The length of this DNA molecule will be `:`

Options

A. `3.4xx10^(-5)` meter
B. `0.34xx10^(-5)` meter
C. `34xx10^(-5)` meter
D. None of above

Answer

To find the length of a given double-stranded DNA molecule that is 10,000 base pairs long, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of base pairs**:
The problem states that the DNA molecule has 10,000 base pairs.

2. **Determine the rise per base pair**:
The rise (or distance) per base pair in a double-stranded DNA molecule is approximately 3.4 angstroms.

3. **Calculate the total length in angstroms**:
To find the total length of the DNA molecule in angstroms, multiply the number of base pairs by the rise per base pair:
\[ \text{Total Length (in angstroms)} = \text{Number of Base Pairs} \times \text{Rise per Base Pair} \]
\[ \text{Total Length (in angstroms)} = 10,000 \text{ base pairs} \times 3.4 \text{ angstroms/base pair} = 34,000 \text{ angstroms} \]

4. **Convert angstroms to micrometers**:
We know that 10,000 angstroms is equal to 1 micrometer. Therefore, to convert 34,000 angstroms to micrometers:
\[ \text{Total Length (in micrometers)} = \frac{34,000 \text{ angstroms}}{10,000} = 3.4 \text{ micrometers} \]

5. **Convert micrometers to meters**:
Since 1 micrometer is equal to \(10^{-6}\) meters, we can convert 3.4 micrometers to meters:
\[ \text{Total Length (in meters)} = 3.4 \text{ micrometers} \times 10^{-6} \text{ meters/micrometer} = 3.4 \times 10^{-6} \text{ meters} \]

6. **Final Answer**:
Therefore, the length of the DNA molecule is \(3.4 \times 10^{-6}\) meters.