At a distance of 12 cm from a presumably isotropic, radioactive source, a pair o

Question

At a distance of 12 cm from a presumably isotropic, radioactive source, a pair of students measure 78 cps (cps = counts per second). On average, how many counts per second do you expect at a distance of 29 cm? (Note that the average number of counts per second need not be an integer.)

_________________________ cps

At a distance of 12 cm from a presumably isotropic, radioactive source, a pair of students measure 78 cps (cps = counts per second). On average, how many counts per second do you expect at a distance of 29 cm? (Note that the average number of counts per second need not be an integer.) _________________________ cps

Explanation / Answer

The cps is distributed uniformly in space. so We have total cps. cps_T=cps_r*4pi*r^2/1 so because cps_T is unchanged. so cps_r*r^2=const. so cps_29=cps_12*12^2/29^2=13.4(cps)

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