A radiation detector registers 530 counts per second when a fresh radioactive source is placed near it. The constant laboratory background is 30 counts per second.
a. (i) Find the count rate due solely to the source at t=0.
b. (ii) Ten hours later, the detector reading (including background) is 300 counts per second. Determine the decay constant λ of the source in h−1.
c. (iii) Predict the detector reading (including background) after a further 5 hours.