The intensity of radioactivity depends on the distance of the recipient from the

Question

The intensity of radioactivity depends on the distance of the recipient from the source of radiation. Generally it falls off as the inverse of the square of the distance separating the source and the object. For example, if the intensity of radioactivity is 1000 millirem when the object is 1.0 meter away from the source, the object will be exposed to 100 millirem of radiation when it is 10 meters away from the source. Suppose an object receives 234 millirem of radiation when it is 100 meter from the source, calculate the distance if the object is now subject to 135 millirem.

Explanation / Answer

The intensity of radioactivity (I) is inversely propotional to square of distance (X).

Thus the relation will be

I1 X12 = I2 X22

Here I1 = 234 millirem

X1 = 100 meter

I2 = 135 millirem

X22= 234 * (100)2 / 135

Distance X2 = 132 meter.

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