The optical fibers used for telecommunications links have dielectric constant k

Question

The optical fibers used for telecommunications links have dielectric constant k = 1.6.

How long does a signal originating in California take to reach Montana in a fiber-optic cable? The distance between California and Montana is about 1400 km.

The optical fibers used for telecommunications links have dielectric constant k = 1.6. How long does a signal originating in California take to reach Montana in a fiber-optic cable? The distance between California and Montana is about 1400 km. Express your answer with the appropriate units. Delta t =

Explanation / Answer

Note that the speed of light varies

v = c/sqrt(k)

As k = 1.6,

v = 2.37E8 m/s or 2.37E5 km/s

Thus,

t = d / v

= 0.00591 s or 5.91 ms [ANSWER]

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