The amount of radiation produced by source 'A' at an unknown location away from the source is 500 rems and spurce 'B' is 1000 rems. The radioactivity measured at 10 mwters from sourcev 'A' is 50 rems. At what distance from the source 'A' the activity of 500 rems was measured and at what distance the radiation source 'B' will be 10 rems?
To find the distance at which the activity of 500 rems was measured for source A, we can set up a proportion:
(50 rems / 10 meters) = (500 rems / x meters)
Cross multiplying, we get:
50x = 5000
x = 100 meters
Therefore, the activity of 500 rems was measured at a distance of 100 meters from source A.
Now, to find the distance at which source B will produce 10 rems of radiation, we can use the inverse square law:
(R1/R2)^2 = (D2/D1)^2
Where R1 = radiation produced by source A, R2 = radiation produced by source B, D1 = distance at which radiation was measured for source A, and D2 = distance at which radiation will be measured for source B.
Plugging in the values:
(500 rems / 100 meters)^2 = (10 rems / x meters)^2
Solving for x, we get:
(5000)^2 = (10x)^2
25000000 = 100x^2
x^2 = 250000
x = 500 meters
Therefore, the radiation source B will produce 10 rems of radiation at a distance of 500 meters from the source.