Q.

The count rate of a Geiger Muller counter for the radiation of a radioactive material of half life 30 minutes decreases to  5 s-1 after  2 hour’s . The initial count rate was

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a

80 s-1

b

20 s-1

c

625 s-1

d

25 s-1

answer is A.

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Detailed Solution

Half Life=T1/2=30 min Total time = 2 hrs = 120 min  Decay Law, NNo=12tT12=1212030=124 ⇒No=24N=16×5=80 sec−1
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The count rate of a Geiger Muller counter for the radiation of a radioactive material of half life 30 minutes decreases to  5 s-1 after  2 hour’s . The initial count rate was