## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

$d = 6.43~cm$
We can write an expression for the speed of light in the silicon fiber: $v = \frac{c}{n}$ The total travel time in the silicon is $1.50~ns$ We can find the maximum distance: $2d = v~t$ $d = \frac{c~t}{2n}$ $d = \frac{(3.0\times 10^8~m/s)(1.50\times 10^{-9}~s)}{(2)(3.50)}$ $d = 0.0643~m$ $d = 6.43~cm$