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problem about deriving plancks constant, speed of e in H or bohrs radius

Tor Fredrik
in Classical Physics

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First I will add some theory

image.thumb.png.4309b7d516124714949a87e99c1815ff.png

 

image.thumb.png.1fe4419c3cc9c84e6442e483dc3be218.png

Then I will try to derive rydberg energy formula from a kinetic perspective

image.thumb.png.02c715bd4f4d73edde415a38e5a3e036.png

The numbers above is correct for the rydberg formula. Is it possible to derive plancks constant, bohr radius or velocity for electron in n=1 for hydrogen atom with this? This is how far I get equating centripetal force and coulomb attraction:

image.thumb.png.b71bbe52f6fbb17cca16a69f5af79349.png

Edited by Tor Fredrik
had to do recalculations

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Just now, swansont said:

Bohr’s formulation does not have a magnetic field

Theres no B field in the derivation?

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