In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000±40 nuclei decayed in the first 1.0 s. For ∣x∣≪1 , ln(1+x)=x up to first power in x . The error Δλ , in the determination of the decay constant λ , in s−1 , is
a. 0.04
b. 0.03
c. 0.02
d. 0.01