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Sagot :
To solve the problem of converting [tex]\( 17.3 \times 10^{-10} \)[/tex] seconds into picoseconds, microseconds, femtoseconds, and nanoseconds, we need to understand the relationship between seconds and these different units of time. Let’s break it down step by step:
1. Given Value in Seconds:
[tex]\[ 17.3 \times 10^{-10} \text{ seconds} \][/tex]
2. Conversion Factors:
- Picoseconds: [tex]\( 1 \text{ s} = 10^{12} \text{ ps} \)[/tex]
- Microseconds: [tex]\( 1 \text{ s} = 10^{6} \text{ μs} \)[/tex]
- Femtoseconds: [tex]\( 1 \text{ s} = 10^{15} \text{ fs} \)[/tex]
- Nanoseconds: [tex]\( 1 \text{ s} = 10^{9} \text{ ns} \)[/tex]
3. Converting to Picoseconds:
We know [tex]\( 1 \text{ s} = 10^{12} \text{ ps} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to picoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{12} \text{ ps/s} = 17.3 \times 10^{2} \text{ ps} = 1730 \text{ ps} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1730 picoseconds.
4. Converting to Microseconds:
We know [tex]\( 1 \text{ s} = 10^{6} \text{ μs} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to microseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{6} \text{ μs/s} = 17.3 \times 10^{-4} \text{ μs} = 0.00173 \text{ μs} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 0.00173 microseconds.
5. Converting to Femtoseconds:
We know [tex]\( 1 \text{ s} = 10^{15} \text{ fs} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to femtoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{15} \text{ fs/s} = 17.3 \times 10^5 \text{ fs} = 1730000 \text{ fs} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1,730,000 femtoseconds.
6. Converting to Nanoseconds:
We know [tex]\( 1 \text{ s} = 10^{9} \text{ ns} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to nanoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{9} \text{ ns/s} = 17.3 \times 10^{-1} \text{ ns} = 1.73 \text{ ns} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1.73 nanoseconds.
### Summary of Conversions:
- [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to:
- 1730 picoseconds
- 0.00173 microseconds
- 1,730,000 femtoseconds
- 1.73 nanoseconds
Therefore, the given value converted to different units of time are:
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1730 \text{ ps} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 0.00173 \text{ μs} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1,730,000 \text{ fs} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1.73 \text{ ns} \)[/tex]
1. Given Value in Seconds:
[tex]\[ 17.3 \times 10^{-10} \text{ seconds} \][/tex]
2. Conversion Factors:
- Picoseconds: [tex]\( 1 \text{ s} = 10^{12} \text{ ps} \)[/tex]
- Microseconds: [tex]\( 1 \text{ s} = 10^{6} \text{ μs} \)[/tex]
- Femtoseconds: [tex]\( 1 \text{ s} = 10^{15} \text{ fs} \)[/tex]
- Nanoseconds: [tex]\( 1 \text{ s} = 10^{9} \text{ ns} \)[/tex]
3. Converting to Picoseconds:
We know [tex]\( 1 \text{ s} = 10^{12} \text{ ps} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to picoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{12} \text{ ps/s} = 17.3 \times 10^{2} \text{ ps} = 1730 \text{ ps} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1730 picoseconds.
4. Converting to Microseconds:
We know [tex]\( 1 \text{ s} = 10^{6} \text{ μs} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to microseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{6} \text{ μs/s} = 17.3 \times 10^{-4} \text{ μs} = 0.00173 \text{ μs} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 0.00173 microseconds.
5. Converting to Femtoseconds:
We know [tex]\( 1 \text{ s} = 10^{15} \text{ fs} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to femtoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{15} \text{ fs/s} = 17.3 \times 10^5 \text{ fs} = 1730000 \text{ fs} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1,730,000 femtoseconds.
6. Converting to Nanoseconds:
We know [tex]\( 1 \text{ s} = 10^{9} \text{ ns} \)[/tex]. To convert [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] to nanoseconds:
[tex]\[ 17.3 \times 10^{-10} \text{ s} \times 10^{9} \text{ ns/s} = 17.3 \times 10^{-1} \text{ ns} = 1.73 \text{ ns} \][/tex]
So, [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to 1.73 nanoseconds.
### Summary of Conversions:
- [tex]\( 17.3 \times 10^{-10} \text{ s} \)[/tex] is equivalent to:
- 1730 picoseconds
- 0.00173 microseconds
- 1,730,000 femtoseconds
- 1.73 nanoseconds
Therefore, the given value converted to different units of time are:
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1730 \text{ ps} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 0.00173 \text{ μs} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1,730,000 \text{ fs} \)[/tex]
- [tex]\( 17.3 \times 10^{-10} \text{ s} = 1.73 \text{ ns} \)[/tex]
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