A radio transmits at a frequency of 104.5 MHz a signal traveling from Manhattan KS to Joe's farm, about 275 km away. How long does it take for the signal to travel that far, in ms (milliseconds)?

Answer :

Answer:

Time, t = [tex]9.17\times 10^{-4}\ s[/tex]

Explanation:

Given that,

Frequency of a radio, [tex]f=104.5\ MHz=104.5 \times 10^6\ Hz[/tex]

A signal traveling from Manhattan KS to Joe's farm, about 275 km away, d = 275 km

We know that radio wave is an electromagnetic wave. It travels with the speed of light. The formula is given by :

[tex]c=\dfrac{d}{t}\\\\t=\dfrac{d}{c}\\\\t=\dfrac{275\times 10^3\ m}{3\times 10^8\ m/s}\\\\t=9.17\times 10^{-4}\ s[/tex]

So, the time taken by the signal to travel this distance is [tex]9.17\times 10^{-4}\ s[/tex]

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