Half life Part A At t=0 the counting rate from a radioactive source is 3700 coun

Question

Half life Part A At t=0 the counting rate from a radioactive source is 3700 counts/s. At t=10 s the counting rate has dropped to 462 counts/s, what is the mean life tau of the nucleus? 4.81 s You are correct. Your receipt no. is 157-31480 Previous Tries Part B What is the half life? 3.33 s You are correct. Your receipt no. is 157-6644 Previous Tries Part C What is the decay constant ? 0.2080s Submit Answer Incompatible units. No conversion found between "s" and the required units. Part D what is the count rate at t = 20 s? 5775 c/s Tries 0/15 Previous Tries Submit Answer Incompatible units. No conversion found between "c/s" and the required units. Tries 0/15 Previous Tries

Explanation / Answer

Here

part c)

half life , t0.50 = 3.33 s

decay constant = ln(2)/t0.50

decay constant = 0.693/3.33

decay constant = 0.208 1/s

part D)

at t = 20 s

count rate = Ao * 0.50^(t/t0.50)

count rate = 3700 * 0.50^(20/3.33)

count rate = 57.7 counts/s

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