What is traveling faster, an x-ray wave or a radio wave?

The question is so general, so how am I suppose to figure it out without any additional information?

That is question #7 on our worksheet. Question #4 says how many times more energy is there in one photon of an x-ray with a frequency of 1.00E12 hertz or a can of diet pop that has 4184 Joules per can?

Is it somehow related?

They are not related.

Radio waves, x-rays, red light, green light, yellow light, travel at the same speed of 1E8 m/s. It is a general question but you are supposed to know that the speed is the same.

Yes, the question about the speed of x-ray waves and radio waves is related to the question about the energy of x-ray photons and a can of diet pop. To determine which wave travels faster, we need to understand the electromagnetic spectrum.

The electromagnetic spectrum is a range of all possible frequencies of electromagnetic radiation, which includes radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays. The different types of waves in the spectrum have varying wavelengths and frequencies.

In general, the speed of electromagnetic waves in a vacuum, such as outer space, is constant and approximately equal to the speed of light, which is about 3.00 x 10^8 meters per second (m/s). However, the speed of electromagnetic waves can vary slightly when passing through different materials, such as air or water.

Now, let's compare the wavelengths and frequencies of x-ray waves and radio waves to determine which one travels faster.

X-ray waves have much shorter wavelengths and higher frequencies compared to radio waves. X-ray waves typically have wavelengths on the order of picometers (10^-12 meters) and frequencies in the range of 10^16 to 10^19 hertz. On the other hand, radio waves have much longer wavelengths and lower frequencies. Radio waves can have wavelengths ranging from meters to kilometers and frequencies on the order of 10^6 to 10^9 hertz.

Since the speed of electromagnetic waves in a vacuum is constant, higher frequency waves like x-rays will generally travel at the same speed, if not slightly slower, compared to lower frequency waves like radio waves. Therefore, x-ray waves tend to travel faster or at least at a similar speed to radio waves.

In conclusion, without additional specific information about the medium through which the waves are traveling, we can say that x-ray waves and radio waves generally travel at or near the speed of light, with x-ray waves potentially traveling slightly faster due to their higher frequencies.