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Deffense [45]
3 years ago
11

There are fiber optic telephone cables connecting North America and Europe, lying on the bottom of the Atlantic ocean. The wire

is 4,500 km long how long and has an index of refraction of 1.5. How long will it take for the signal to cross the ocean? Give your answer in milliseconds.
Physics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

The time taken is t  = 0.0225 \ s

Explanation:

From the question we are told that

    The length of the wire is l  =  4500 \ km =  4500000   \ m

      The  refractive index is  n_f =  1.5

The velocity of the signal is mathematically represented as

       v  =  \frac{c}{n_f  }

Where c is the speed of light with value c =  3.0 *10^{8} \ m/s

 substituting values  

         v  =  \frac{3.0 *10^{8}}{1.5}

         v  = 2.0*10^{8} \ m/s

The time taken is mathematically evaluated as

      t  =  \frac{d}{v}

substituting values  

      t  =  \frac{4500000}{2.0 *10^{8}}

      t  = 0.0225 \ s

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Complete question is;

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Only option B) 2√5 + 5√45 can be reduced to a single number

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A) For 3√3 + 5√8;

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This gives;

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Adding the surds gives;

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