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Answer :
To convert 2.00 terameters to nanometers, follow these steps:
1. Understand the units and their conversion factors:
- 1 terameter (Tm) equals [tex]\( 10^{12} \)[/tex] meters.
- 1 meter equals [tex]\( 10^{9} \)[/tex] nanometers (nm).
2. Convert terameters to meters:
- Since 1 terameter is [tex]\( 10^{12} \)[/tex] meters, 2.00 terameters will be:
[tex]\[
2.00 \times 10^{12} \text{ meters}
\][/tex]
3. Convert meters to nanometers:
- Now, convert the meters into nanometers by multiplying by [tex]\( 10^{9} \)[/tex] (because 1 meter is [tex]\( 10^{9} \)[/tex] nanometers).
- Thus, you need to multiply:
[tex]\[
2.00 \times 10^{12} \times 10^{9} \text{ nanometers}
\][/tex]
4. Calculate the total in nanometers:
- Multiply the powers of ten:
[tex]\[
2.00 \times 10^{21} \text{ nanometers}
\][/tex]
Therefore, 2.00 terameters is equal to [tex]\( 2.00 \times 10^{21} \)[/tex] nanometers. The correct choice from the given options is:
- [tex]\( 2.00 \times 10^{21} \)[/tex] nm
1. Understand the units and their conversion factors:
- 1 terameter (Tm) equals [tex]\( 10^{12} \)[/tex] meters.
- 1 meter equals [tex]\( 10^{9} \)[/tex] nanometers (nm).
2. Convert terameters to meters:
- Since 1 terameter is [tex]\( 10^{12} \)[/tex] meters, 2.00 terameters will be:
[tex]\[
2.00 \times 10^{12} \text{ meters}
\][/tex]
3. Convert meters to nanometers:
- Now, convert the meters into nanometers by multiplying by [tex]\( 10^{9} \)[/tex] (because 1 meter is [tex]\( 10^{9} \)[/tex] nanometers).
- Thus, you need to multiply:
[tex]\[
2.00 \times 10^{12} \times 10^{9} \text{ nanometers}
\][/tex]
4. Calculate the total in nanometers:
- Multiply the powers of ten:
[tex]\[
2.00 \times 10^{21} \text{ nanometers}
\][/tex]
Therefore, 2.00 terameters is equal to [tex]\( 2.00 \times 10^{21} \)[/tex] nanometers. The correct choice from the given options is:
- [tex]\( 2.00 \times 10^{21} \)[/tex] nm
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