What is the meaning of luminosity per unit frequency?

AI Thread Summary
Luminosity per unit frequency, denoted as Lν, represents the distribution of luminosity across different frequencies. It quantifies how much energy is emitted per unit time at a specific frequency, providing insight into the spectral characteristics of an astronomical source. To calculate it for a cosmic source with 100 solar luminosities at 22 GHz, one must first determine the total luminosity and then consider how it varies with frequency. The discussion highlights confusion around the calculation process and the concept itself. Understanding Lν is essential for analyzing the emission properties of celestial objects.
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I am just trying to understand exactly what luminosity per unit frequency is. I know that luminosity (L = 4PI(r2)(flux)) is amount of energy per unit time, but not sure what it means when it is also per unit frequency.

The question has a cosmic source of 100 solar luminosity, all emitted with the frequency of 22 GHz, and the object is 0.001 pc in radius.

Do I calculate the luminosity (100*Solar Luminosity), actually I don't even know how to begin. I guess I am just confused at what exactly luminosity per unit frequency is and how to get it.
 
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