The tungsten bulb can work. You will be working with higher voltage of course. Be careful.
BTW, Don't try the monitor idea. I don't think the light will be monochromatic enough for your use. The LED idea might work by substituting the LED for the tungsten bulb. I believe that the LED light is monochromatic enough for a crude spectrometer but you will need to find out. Try passing the LED light through a prism and look for any other colors.