- #1
UrbanXrisis
- 1,196
- 1
I am to derive the incorrect Rayleigh-Jeans formula from the correct Planck formula to show why plank's constant does not appear in the Rayleigh-Jeans formula. I should also recall the Stefen-Boltmann Law
here's what I have but I'm stuck...
Rayleigh-Jeans formula: [tex]u(\lambda)=\frac{8 \pi k T }{\lambda^{4}}[/tex]
Planks formula: [tex]u(\lambda)=\frac{8 \pi k T }{\lambda^{4}}\frac{hc/ \lambda}{e^{hc/ \lambda K T} - 1}[/tex]
so I am thinking I am somehow supposed to get: [tex]\frac{hc/ \lambda}{e^{hc/ \lambda K T} - 1} = 1[/tex] but I don't know how to even begin. any ideas?
here's what I have but I'm stuck...
Rayleigh-Jeans formula: [tex]u(\lambda)=\frac{8 \pi k T }{\lambda^{4}}[/tex]
Planks formula: [tex]u(\lambda)=\frac{8 \pi k T }{\lambda^{4}}\frac{hc/ \lambda}{e^{hc/ \lambda K T} - 1}[/tex]
so I am thinking I am somehow supposed to get: [tex]\frac{hc/ \lambda}{e^{hc/ \lambda K T} - 1} = 1[/tex] but I don't know how to even begin. any ideas?