For detecting tagging on US stamps, you MUST use the short wavelength UV lamp. The long wavelength lamp will only detect the tagging on a very small handful of US stamps, and the tagging contrast will not be very strong. On the other hand, tagging will clearly photoluminesce (green, orange, or bright whitish -- depending on the stamp) with the short wavelength UV.
For US stamps, the primary function of the long wavelength UV lamp is to detect paper varieties and also detecting some types of altered stamps or stamps with hidden damage.
I use a research grade dual wavelength filtered UV lamp that operates at 254nm and 365nm. It's pretty powerful and allows me to light up a whole pane of stamps; however, it is overkill for philatelic purposes.
The statements above apply to most (including Canada), but not all countries. I've yet to find a UV lamp that is suitable for easy detection of tagging on the experimental phosphor issues of GB. While the phosphor can usually be detected by just holding the stamp at an angle under a light, there are a couple of issues where the vertical background color bands match well with the phosphor bands and makes it difficult to find the phosphor. On those issues, I often try to get them with selvage, as the tagging bands can be seen on the white selvage.
Remember, never look into the UV lamp directly and minimize extended exposure to your skin. ESPECIALLY if you are using the short wavelength lamps. The philatelic-grade lamps are usually low wattage, so you are very unlikely to run into health problems -- but better safe than sorry and it's good to practice safety.

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