I have been suggested to take photos of the glowing bulb then use photoshop to analyse the colour. Is that a possible solution?
No. The power spectrum of a light bulb is a continuous function $f(\lambda)$ where $\lambda$ is a particular wavelength of light and $f(\lambda)$ is the intensity of the light at just that one wavelength.
A camera throws most of that information away, and reduces a color to just three numbers. That's because your eyes have just three different "color receptors," and almost every color that you are able to distinguish can be mimicked by combining different levels of a red, a green, and a blue light source. The camera, therefore, records the level of light coming through a red filter, a green filter, and a blue filter at every pixel position.
Instead of directly photographing your different light bulbs, you could try photographing them through an inexpensive spectroscope
Supplementary answer to the OP's clarifying comment:
The main point that still needs clarification, in my opinion, is whether we are really dealing with thermal radiation here, i.e., whether the role of electric current is only to heat the material (since the current flow itself is not a thermal state
Good question, and...
Yes, we are really dealing with thermal radiation here!
The heating produced by the flow of conduction electrons in the bulk of the filament is not related to the thermal radiation coming from the few tens of atoms near the metal surface that are producing the photons that we see.
We know this because we can do some experiments:
- When we turn on or off the current, the light produced ramps up or down with a radiative time scale of milliseconds, which is how much time it takes the filament to heat up or cool down from its previous equilibrium "OFF" or "ON" temperature.
- We can try to measure the 100/120 Hz flicker of the bulb, and see that it's perhaps a percent. An incandescent bulb does not turn off 100 or 120 times per second. Its light stays relatively constant. We can make light trails with our eyes or cameras with pulsing light sources like some brands of LED lights (e.g. cheap battery operated portables) or florescent lights or some kinds of mercury or sodium vapor street lights, but we can't reproduce those effects with incandescent lights.
Now, this does not mean that electron collisions in metals can't make visible light, but the chances that a conduction electron can get 2 or 3 eV of kinetic energy before hitting another electron and that that also happens within tens of angstroms of the surface so that the light gets out is extremely small.
Basically the tungsten does two totally separate jobs at the same time:
- acts as a suitable temperature-dependent resistor such that it reaches thermal equilibrium and radiates 100 watts or whatever power it's supposed to
- acts as a thermal radiator, producing light when heated
update: @Ruslan's comment links to two excellent videos!
![intact incandescent filament glowing](https://i.stack.imgur.com/lPBLe.png)
Then it breaks, no current flows, and the light continues but starts to dim:
![broken incandescent filament still glowing](https://i.stack.imgur.com/W9L4d.png)
When it touches another part of the bulb, that part cools more quickly by conduction than by radiation, so it turns dark. But the bit at the right can't cool easily along the filament because it's thermal conductivity is low along the wire, so it's still glowing fairly brightly:
![broken incandescent filament still glowing, especially parts that can't cool by conduction](https://i.stack.imgur.com/EEyUd.png)
Best Answer
Here is a comparison chart. The number don't correlate exactly since there are differences in the manufacturing of the bulbs.
![enter image description here](https://i.stack.imgur.com/6OAtg.jpg)