How long would it take a radio wave with

a frequency of 5.1 × 105 Hz to travel from
Mars to Earth if the distance between the two
planets is approximately 8.00 × 107 km?

unless you want to know the wavelength, the frequency does not matter.

t = d/v = 8.0*10^7 km / 3*10^5 km/s = 266.7 s

To calculate the time it takes for a radio wave to travel from Mars to Earth, we need to use the formula:

Time = Distance / Speed of Light

First, let's convert the given distance from kilometers to meters. Since 1 kilometer is equal to 1000 meters, the distance between Mars and Earth becomes:

Distance = 8.00 × 107 km * 1000 m/km = 8.00 × 1010 meters

Next, recall that the speed of light is approximately 3.00 × 108 meters per second. Now we can calculate the time it takes for the radio wave to travel:

Time = 8.00 × 1010 meters / 3.00 × 108 meters per second

By dividing these two values, we find that the time it takes for the radio wave to travel from Mars to Earth is approximately 266.67 seconds.

Therefore, it would take approximately 266.67 seconds for a radio wave with a frequency of 5.1 × 105 Hz to travel from Mars to Earth.