Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Certainly! Let's convert the length of the particle from nanometers (nm) to meters (m).
1. Understanding the Conversion:
- We know that 1 nanometer (nm) is equal to [tex]\( 1 \times 10^{-9} \)[/tex] meters (m).
2. Given Length:
- The given length of the particle is 68 nm.
3. Setting up the Conversion:
- To convert from nanometers to meters, we use the conversion factor:
[tex]\[ \text{length in meters} = \text{length in nanometers} \times 1 \times 10^{-9} \][/tex]
4. Performing the Calculation:
- By substituting the given length into the conversion formula:
[tex]\[ \text{length in meters} = 68 \, \text{nm} \times 1 \times 10^{-9} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{length in meters} = 68 \times 10^{-9} \, \text{m} \][/tex]
5. Expressing in Scientific Notation:
- We can express [tex]\( 68 \times 10^{-9} \)[/tex] in scientific notation as:
[tex]\[ 6.8 \times 10^{-8} \, \text{m} \][/tex]
6. Choosing the Correct Answer:
- Comparing our result with the given options:
A. [tex]\(6.8 \times 10^{14} \, \text{m}\)[/tex]
B. [tex]\(6.8 \times 10^{-8} \, \text{m}\)[/tex]
C. [tex]\(6.8 \times 10^{10} \, \text{m}\)[/tex]
D. [tex]\(6.8 \times 10^{-11} \, \text{m}\)[/tex]
- The correct answer is:
[tex]\[ \boxed{6.8 \times 10^{-8} \, \text{m}} \][/tex]
Hence, the length of the particle in meters is [tex]\( 6.8 \times 10^{-8} \, \text{m} \)[/tex].
1. Understanding the Conversion:
- We know that 1 nanometer (nm) is equal to [tex]\( 1 \times 10^{-9} \)[/tex] meters (m).
2. Given Length:
- The given length of the particle is 68 nm.
3. Setting up the Conversion:
- To convert from nanometers to meters, we use the conversion factor:
[tex]\[ \text{length in meters} = \text{length in nanometers} \times 1 \times 10^{-9} \][/tex]
4. Performing the Calculation:
- By substituting the given length into the conversion formula:
[tex]\[ \text{length in meters} = 68 \, \text{nm} \times 1 \times 10^{-9} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{length in meters} = 68 \times 10^{-9} \, \text{m} \][/tex]
5. Expressing in Scientific Notation:
- We can express [tex]\( 68 \times 10^{-9} \)[/tex] in scientific notation as:
[tex]\[ 6.8 \times 10^{-8} \, \text{m} \][/tex]
6. Choosing the Correct Answer:
- Comparing our result with the given options:
A. [tex]\(6.8 \times 10^{14} \, \text{m}\)[/tex]
B. [tex]\(6.8 \times 10^{-8} \, \text{m}\)[/tex]
C. [tex]\(6.8 \times 10^{10} \, \text{m}\)[/tex]
D. [tex]\(6.8 \times 10^{-11} \, \text{m}\)[/tex]
- The correct answer is:
[tex]\[ \boxed{6.8 \times 10^{-8} \, \text{m}} \][/tex]
Hence, the length of the particle in meters is [tex]\( 6.8 \times 10^{-8} \, \text{m} \)[/tex].
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.