1)

The activity of a radioactive sample is measured as 9750 counts per minute at t = 0 and as 975 counts per minute at t = 5 minutes. The decay constant is approximately


A) 0.922 per minute

B) 0.691 per minute

C) 0.461 per minute

D) 0.230 per minute

Answer:

Option C

Explanation:

dNdt=KN

9750=KN0 .....(i)

975 = KN  .................(ii)

Dividing (i) by (ii)

NN0=110

K=2.303tlogN0N

= 2.3035log10 = 0.4606 =  0.461 per minute