A question on constants and dimensionless equations

  • #1
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Homework Statement



There is not really a problem, just a question which i am about to ask. The known data is

[tex]\alpha[/tex] the fine structure constant
[tex]\hbar[/tex] Plancks constant
[tex]c[/tex] the speed of light
[tex]\mu[/tex] permeability

Homework Equations



[tex]2\alpha \hbar = \pi^2 \mu_0 c[/tex]

The Attempt at a Solution



A paper I downloaded a while back, but can't actually link to states this equation

[tex]2\alpha \hbar = \pi^2 \mu_0 c[/tex]

in a derivation. It seemed a little odd, are the dimensions right? I noticed all the data in this equation are actually made up of constants. Is it wise to say that when you deal with dimensionless objects, they are always constants (for a seperate question).
Thank you!!!
 

Answers and Replies

  • #2
rude man
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Homework Statement



Is it wise to say that when you deal with dimensionless objects, they are always constants (for a seperate question).
Thank you!!!

No. For example, angles are dimensionless.
 

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