Exploring the Speed of Light: c in e=hc/λ

In summary, the conversation discussed the relationship between refraction and phase velocity change, and whether the speed of light (represented by c) in the equation E=hc/lambda is always a constant 3x10^8 or if it refers to the speed in a medium. It was determined that the speed of light in vacuum is always constant, but in a medium, it may vary depending on the refractive index. The conversation also touched on the different models used to describe energy and the importance of using the correct formula for the specific situation.
  • #1
sorax123
34
0
I was thinking about refraction and phase velocity change, when i thought about whether the c in e=hc/lambda is always 3x10^8 or does it refer to the speed in the medium?
Thanks
 
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  • #2
in ##E=hc/\lambda## ##c## is always the speed of light in vacuum.
if the speed in the medium is important, it will show up in equations as a refractive index.
as far as the photon is concerned, the "medium" is an array of atoms with empty space in between.
 
  • #3
So if wavelength decreases in a refractive medium, does that mean energy increases?
 
  • #5
sorax123 said:
I was thinking about refraction and phase velocity change, when i thought about whether the c in e=hc/lambda is always 3x10^8 or does it refer to the speed in the medium?
Thanks

It depends on what do you mean by λ. It is the wavelength in vacuum or in the medium?
Anyway, you should have the formula getting back to E=hf which is valid in vacuum and media as well.
 
  • #6
Cheers folks. I now see that the qm and wave models must be evaluated differently and that E=hf is a more useful formula to employ :).
 

FAQ: Exploring the Speed of Light: c in e=hc/λ

1. What is the speed of light (c) in the equation e=hc/λ?

The speed of light (c) is a constant value in the equation e=hc/λ and is equal to approximately 299,792,458 meters per second. This value represents the maximum speed at which any object can travel in the universe.

2. How is the speed of light related to energy and wavelength?

The speed of light (c) is directly related to energy and wavelength in the equation e=hc/λ. This means that as the energy of a photon increases, the wavelength decreases, resulting in a higher speed of light. Conversely, as the energy decreases, the wavelength increases, resulting in a slower speed of light.

3. Why is the speed of light considered to be a constant?

The speed of light (c) is considered to be a constant because it does not change, regardless of the observer's frame of reference. This is known as the principle of relativity, which states that the laws of physics should be the same for all observers, regardless of their relative motion.

4. How was the speed of light first measured?

The first successful measurement of the speed of light was conducted by the Danish astronomer Ole Rømer in the late 17th century. Rømer used observations of Jupiter's moons to estimate the time it takes for light to travel from Jupiter to Earth, which he calculated to be approximately 220,000 kilometers per second. This was later refined by other scientists, leading to the current accepted value of approximately 299,792,458 meters per second.

5. Can anything travel faster than the speed of light?

According to Einstein's theory of relativity, nothing can travel faster than the speed of light. However, some scientists have proposed theories such as wormholes and warp drive that could potentially allow for faster-than-light travel. These theories are still highly speculative and have not been proven to be possible.

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