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## Homework Statement

[itex]\rho(\lambda)d\lambda=\frac{8(\pi)hc}{\lambda^{5}}\frac{d\lambda}{e^{hc/(\lambda)KT}-1}[/itex]

What does this represent?

Calculate the number of photons per unit volume in a blackbody from [itex]\lambda[/itex] to [itex]d\lambda[/itex]

## Homework Equations

N/A

## The Attempt at a Solution

I believe this represents the energy per unit volume in wavelength [itex]\lambda[/itex] to [itex]d\lambda[/itex]. To calculate the number of photons per unit volume, would I just calculate

[itex]\int^{d\lambda}_{\lambda}\frac{8(\pi)hc}{\lambda^{5}}\frac{d\lambda}{e^{hc/(\lambda)KT}-1}[/itex]? It seems pretty messy