推翻v=frequency*wavelength (20分)

By dispersion of white light inside a prism, we would find out that the speed of red light is faster than that of white light, so it also has higher refractive index

That's sounds simple enough, wavelength of red light is larger than that of white light, so it is faster!

That comes to a question, do we need to ignore their frequency?

As a metaphor, I can tell all of you a story:

A diver jumps into the bottom of swimming pool and starts running. This guy runs with the same frequency all the time [frequency kept constant for a wave], but cannot maintain its normal stride due to higher resistance. Will this guy run faster than that of the other diver which could run with much higher frequency in his steps? May not!!!!

So, red light is faster than violet light provided only frequency is not taken into account, since violet has higher frequency than red light in the electromagnetic spectrum

Is there anything missed when considering frequency? From our experience, frequency kept constant in all medium, for example, a water wave has its frequency kept constant when entering a shallower region.

Could we treat water wave with EM wave in the same way? Yes, they are waves and in the same time transverse waves.

So the difference in frequency continues even when entering another medium, the only stance to say speed is equal to wavelength time frequency is that, frequency of red light and purple light is the same when they are entered from white light, and the color they appear to us is not due to their unique frequency, but their unique wavelengths?

Who agree with me? Or someone agree velocity is independent with frequency for this case