The broken needles show up on X-ray. We had one patient who had broken about half a dozen 15 mm needles off in abdomen and they showed up nicely on X-ray; more importantly, they did not seem to cause any bother. More annoyingly, the X-ray films (this was about 20 years ago) kept disappearing because they were so interesting.
But, as above; you can just measure the length of the needle (but they generally seemed to break where they join the hub), and use only once for the reason to avoid breaks
best wishes
PS - good photo - looks like the needle is intact since looks correct length and has the bevel at the tip, as it should