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11Alexandr11 [23.1K]
3 years ago
8

Convert the speed of light (3.0 x 10^8m/s) from meters per second (m/s) to nanometers per picosecond (nm/ps)

Mathematics
1 answer:
vekshin13 years ago
7 0

In 1 meter, there are 10^9 nanometers, and in 1 second there are 10^{12} picoseconds, so we have

\dfrac{3.0\times10^8\text{ m}}{1\text{ s}}\cdot\dfrac{10^9\text{ nm}}{1\text{ m}}\cdot\dfrac{1\text{ s}}{10^{12}\text{ ps}}=3.0\times10^{8+9-12}=3.0\times10^5\dfrac{\text{nm}}{\text{ps}}

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