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As we know that detection efficiency for gas filled detector is low, then how we use them to detect radiation levels inside X-ray or nuclear medicine department rooms ?

Won't they be giving false readings due to the low detection efficiency?

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If the detector's efficiency is known, then it can simply be taken into account using a calibration. If the goal is to get doses in units of Sieverts, then there is a complicated calibration in any case, because doses depend on things like quality factors.

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