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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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