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raghav
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Homework Statement
In case of Cavity Radiation(Blackbody radiation) let [tex]\rho_{T}(\nu)d\nu[/tex] denote the energy density of radiation having frequency in the interval [tex]\nu[/tex] and [tex]\nu + d\nu[/tex].
Then we need to show that [tex]\frac{\int_{0}^{\lambda_{max}} \rho_{T}(\nu)d\nu}{\int_{0}^{\infty} \rho_{T}(\nu)d\nu} \approx \frac{1}{4} [/tex]
where [tex]\lambda_{max}[/tex] is the wavelength at which the radiation is most intense.
Homework Equations
The obvious rela\evant equation is
[tex]\rho_{T}(\nu)d\nu = \frac{8\pi h\nu^{3}}{c^{3}}\cdot \frac{d\nu}{e^{\frac{h\nu}{kT}}-1}[/tex] . But the problem is the integration part. Can some one please help me with that?