Question

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

Answer 1

In 1 meter, there are
`10^9` nanometers, and in 1 second there are
`10^(12)` picoseconds, so we have

`\frac{3.0*10^8\text{ m}}{1\text{ s}}\cdot\frac{10^9\text{ nm}}{1\text{ m}}\cdot\frac{1\text{ s}}{10^(12)\text{ ps}}=3.0*10^(8+9-12)=3.0*10^5\frac{\text{nm}}{\text{ps}}`