If you double your distance from the gauge, how will your exposure be affected?

When you double your distance from a radiation source, such as a nuclear gauge, your exposure to radiation is significantly decreased due to the inverse square law. This law states that the intensity of radiation is inversely proportional to the square of the distance from the source.

So, if you originally are at a distance 'd' and then you move to '2d', the intensity of radiation you experience is reduced to one-fourth of what it was at the original distance. This means that if you were exposed to a certain level of radiation intensity at the initial distance, that intensity drops down to 1/4 of that level when you double the distance, effectively reducing your exposure by 75%. Thus, you are indeed exposed to only 25% of the initial radiation level, which means your exposure is reduced by 3/4 when you double your distance from the gauge.