Question

How long would it take a radio wave with a frequency of 5.75 ✕ 106 Hz to travel from Mars to Earth if the distance between the two planets is approximately 8.00 ✕ 107 km? WebAssign will check your answer for the correct number of significant figures.267

Answer 1

t=266.6 s or 4.4 minutes

Step-by-step explanation:

The frequency doesn't matter, because light travels at c in a vacuum. All that matters is the distance and the speed of light.

The frequency is the wave to transport what the radio sound so to determinate how long travel must determinate the time take the distance between both

The speed of the radiations is:

`v=3.00x10^8 (m)/(s)`

The distance between Earth and Mars is:

`8.0x10^7 km*(1000m)/(1km)=8x10^(10)m`

So the time is:

`v=(d)/(t)`

`t=(d)/(v)=(8x10^(10)m)/(3x10^8m/s)`

`t=266.s`

or

`t=266.66s(1minute)/(60s)=4.4 minutes`