The length of a DNA chain measures 2.6 nanometres.
a) 2.6 nanometres can be written as . Find .
b) The length of another DNA chain was . Find the difference in
its length. (Give your answer in standard form).

Ask by Gibbs Ward. in Singapore

Mar 09,2025

Question

The length of a DNA chain measures 2.6 nanometres.
a) 2.6 nanometres can be written as . Find .
b) The length of another DNA chain was . Find the difference in
its length. (Give your answer in standard form).

Ask by Gibbs Ward. in Singapore

Mar 09,2025

UpStudy AI · Accepted Answer

**Step 1. Convert 2.6 nanometres to metres**

We know that  
$$
1 \text{ nm} = 10^{-9} \text{ m}
$$  
Thus,  
$$
2.6 \text{ nm} = 2.6 \times 10^{-9} \text{ m}
$$  
Comparing this with the form  
$$
2.6 \times 10^{k} \text{ m}
$$  
we see that  
$$
k = -9
$$

**Step 2. Express the second DNA chain length in standard form**

The given length is  
$$
0.22 \times 10^{-8} \text{ m}
$$  
This can be rewritten by moving the decimal point:  
$$
0.22 \times 10^{-8} = 2.2 \times 10^{-9} \text{ m}
$$

**Step 3. Find the difference in lengths**

Let the lengths be:
- First chain:  
  $$
  L_1 = 2.6 \times 10^{-9} \text{ m}
  $$
- Second chain:  
  $$
  L_2 = 2.2 \times 10^{-9} \text{ m}
  $$
  
The difference is:  
$$
\Delta L = L_1 - L_2 = \left(2.6 \times 10^{-9} - 2.2 \times 10^{-9}\right) \text{ m} = 0.4 \times 10^{-9} \text{ m}
$$

**Step 4. Express the difference in standard form**

To write  
$$
0.4 \times 10^{-9} \text{ m}
$$  
in standard form, we adjust the coefficient to be between 1 and 10:  
$$
0.4 \times 10^{-9} = 4.0 \times 10^{-10} \text{ m}
$$

**Final Answers:**

a) $$ k = -9 $$  
b) The difference in length is $$ 4.0 \times 10^{-10} \text{ m} $$.
a) $$ k = -9 $$ b) The difference in length is $$ 4.0 \times 10^{-10} \text{ m} $$.

The length of a DNA chain measures 2.6 nanometres.
a) 2.6 nanometres can be written as . Find .
b) The length of another DNA chain was . Find the difference in
its length. (Give your answer in standard form).

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The length of a DNA chain measures 2.6 nanometres. a) 2.6 nanometres can be written as . Find . b) The length of another DNA chain was . Find the difference in its length. (Give your answer in standard form).

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preguntas relacionadas

Latest Biology Questions

The length of a DNA chain measures 2.6 nanometres.
a) 2.6 nanometres can be written as . Find .
b) The length of another DNA chain was . Find the difference in
its length. (Give your answer in standard form).