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 as the inverse of the square of the distance separating the source and the object. For example, if the intensity of radioactivity is 1000millirem when the object is 1.0 meter away from the source, the object will be exposed to 100millirem 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 135millirem.

Explanation / Answer

I = Intensity of radiation

I= 1 x2

where X = distance from source

I1 = 234 millirem

X1 = 100 m

I2 = 135 millirem

X2 =?

since, by inverse law we have;

I1 I2 = (X2)2(X1)2

I1* (X1)2 = I2 * (X2)2

234 * (100)2 = 135*(X2)2

X2 = 131.6 m

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.