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Fiber optic cable of length $$L$$ has an inner core surrounded by an outer jacket. Light can travel along the length of the cable through the inner and outer portions. The refractive indices of the material of the inner and outer portions are $$\mu_1$$ and $$\mu_2$$. Find the time interval between the moments when a light pulse entering one end of the cable arrives at the other end traveling through the inner and outer portions.
Correct Answer: 0
PLACEHOLDER ANSWER - the answer is an expression. The speed of light in a medium of index $$\mu$$ is $$\frac{c}{\mu}$$, so travelling straight along the cable takes $$\frac{\mu_1 L}{c}$$ in the core and $$\frac{\mu_2 L}{c}$$ in the jacket. The time interval between the arrivals is $$\frac{L(\mu_1 - \mu_2)}{c}$$, the pulse through the jacket arriving first since $$\mu_1 > \mu_2$$ in an optical fibre.
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