Problem 13 - University Physics with Modern Physics

Question

If two communication signals were sent at the same time to the Moon, one via radio waves and one via visible light, which one would arrive at the Moon first?

Step-by-Step Solution

Answer

Answer: Both radio waves and visible light would reach the Moon at the same time, as they travel at the same speed, approximately 1.28 seconds.

Step 1: Determine the speed of radio waves and visible light

Radio waves and visible light are both part of the electromagnetic spectrum. They travel at the speed of light in a vacuum, which is approximately 299,792 kilometers per second (km/s).

Step 2: Calculate the distance to the Moon

The average distance from the Earth to the Moon is 384,400 kilometers.

Step 3: Calculate the time it takes for radio waves and visible light to reach the Moon

Since both radio waves and visible light travel at the speed of light, we can use the formula for time: Time = Distance / Speed In this case, we will use the distance to the Moon and the speed of light: Time = 384,400 km / 299,792 km/s Time ≈ 1.28 seconds

Step 4: Compare the time it takes for radio waves and visible light to reach the Moon

Both radio waves and visible light take approximately 1.28 seconds to reach the Moon, as they both travel at the same speed.

Step 5: Conclusion

Since both radio waves and visible light travel at the same speed, they would arrive at the Moon at the same time if the communication signals were sent simultaneously.