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In the measurement of a radioactive sample, the measured counts with and without the sample for equal time intervals are C = 500 and B = 100, respecti
Question

In the measurement of a radioactive sample, the measured counts with and without the sample for equal time intervals are C = 500 and B = 100, respectively. The errors in the measurements of C and B are |ΔC| = 20 and |ΔB| = 10 respectively. The net error |ΔY| in the measured counts from the sample Y=C-B, is closest to

A.

22

B.

10

C.

30

D.

43

Correct option is A

Solution:

​Mean Count C = 500
Mean Background noise B = 100

|ΔC| = 20 and |ΔB| = 10

Measurement is done in equal time intervals. Assuming that the mean values follow a Poisson distribution.

The net error |ΔY| in the measured counts from the sample, where Y = C - B, is calculated as follows:

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