Can the Energy of a Photon be Expressed in h/s?

[Bandersnatch]

although it is just 0.00729 c?

It most definitely isn't. http://en.wikipedia.org/wiki/Fine-structure_constant#Definition
Where did you get that idea from?

 

[bobie]

It most definitely isn't. http://en.wikipedia.org/wiki/Fine-structure_constant#Definition Where did you get that idea from?

From your link:

The ratio of the velocity of the electron in the Bohr model of the atom to the speed of light. Hence the square of α is the ratio between the Hartree energy (27.2 eV = twice the Rydberg energy) and the electron rest mass (511 keV)

.

 

[f95toli]

I don't think you've read that carefully enough.
The ratio two velocities has no dimension, i.e. alpha is dimensionless

 

[bobie]

Isn't 0.1 * 300,000c/s equal to 30,000 c/s?

 

[f95toli]

Isn't 0.1 * 300,000c/s equal to 30,000 c/s?

So?

The link says thatthe ratio of the velocity of the electron in the Bohr model of the atom to the speed of light

The velocity of the electron will have the dimension m/s
The speed of light has the dimension m/s

So if you divide one by the other you get a dimensionless number.

 

[bobie]

The relation is most definitely not biunivocal. I don't know why you would expect it to be. It isn't even univocal.

The point is that people tend to forget that. I think that Dimensions have their own identity like jars and boxes, but can also be , exactly like them, anonymous empty vessels: if you fill them with chocolates then
box*choc and jar*choc
is just the same (choc) and not two different entities, Is that right, Dalespam?, L² is a scalar or an area?
In the other (G) thread (you know) I was frozen by posters who told me that "v²/ r is acceleration": everybody takes L/S² as a fingerprint, nobody said" it might be acceleration, it is also acceleration" and I could not question that, starting an inappropriate discussion. It might be also something else, do you agree?

 

[BruceW]

In the other (G) thread (you know) I was frozen by posters who told me that "v²/ r is acceleration": everybody takes L/S² as a fingerprint, nobody said" it might be acceleration, it is also acceleration" and I could not question that, starting an inappropriate discussion. It might be also something else, do you agree?

yeah, v²/ r could represent some other concept or quantity than acceleration. The thing you can say for sure, is that quantity has the same dimensions as acceleration.

 

[bobie]

The speed of light has the dimension m/s.

Is every speed a fraction of C, since m= C*s/ 3*10⁸?
10 m/s = 10 C*s/3*10⁸*s

 

[Dale]

In the other (G) thread (you know) I was frozen by posters who told me that "v²/ r is acceleration": everybody takes L/S² as a fingerprint, nobody said" it might be acceleration, it is also acceleration" and I could not question that, starting an inappropriate discussion. It might be also something else, do you agree?

No, in the context of the referenced discussion, v²/r was definitely acceleration (no "might" or "maybe"), specifically, it is the magnitude of the centripetal acceleration of a body in uniform circular orbit of speed v and radius r.

However, the dimensions of acceleration depends on the system of units you are using. If you are using SI (or indeed most systems of units) then acceleration has dimensions of L/T². In these units v has dimensions of L/T and r has dimensions of L, so v²/r has dimensions of (L/T)²/L -> L/T².

But if you are using geometrized units then acceleration has dimensions of 1/L. In these units v is dimensionless and r has dimensions of L, so v²/r has dimensions of (1)²/L -> 1/L. But in the absence of clarification of the system of units being used, generally SI is assumed.