In an experiment, the initial number of radioactive nuclei is 3000. It is found that 1000±40 nuclei decayed in 1.0 s. For |x|<<1, ln(1+x) = x up to the first power in x. The error Δλ, in the determination of the decay constant λ, is<p></p>

In an experiment, the initial number of radioactive nuclei is 3000. It is found that 1000±40 nuclei decayed in 1.0 s. For |x|<<1, ln(1+x) = x up to the first power in x. The error Δλ, in the determination of the decay constant λ, is

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Question:

In an experiment, the initial number of radioactive nuclei is 3000. It is found that 1000±40 nuclei decayed in 1.0 s. For |x|<<1, ln(1+x) = x up to the first power in x. The error Δλ, in the determination of the decay constant λ, is

Solution: