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2. (20 points) Find the decay constant of cesium-137, half-life 30.1 y; then calculate the activity in becquerels and curies for a sample containing 31019 atoms. 3. (40 points) Derive the number of nuclei for the granddaughter. (See the slide 24 of lecture 3-2, Decay chains) dtdN3=2N2N3(t)=N1(0)(1212e1+211e1t) 4. (20 points) Program DECAYI.xls is cenvenient for calculating the amount of decay of a radioactive sample in a given time. DEEAYI has input of the original activity and the halflife; it calculates the final activity. Load the program, examine its form, and look at the results for the decay in 100y of 2Ci of cesium-137, half-life 30.1y. (a) Find the activity after 10 half-lives. (b) Find the activity of 2Ci of Co60, half-life 5.27y, after 100y. (c) What is the activity of 2Ci of C14 after 100y