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Question

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t=0 it was 1600 counts per second and t=8 seconds it was 100 counts per second. The count rate observed, as counts per second, at t=6 seconds is close to
  1. 150
  2. 200
  3. 400
  4. 360

A
360
B
150
C
200
D
400
Solution
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The correct option is C 200
At t=0,A0=dNdt=1600 C/s
at t=8s,A=100 C/s
AA0=116 in 8 sec
Therefore half life is t1/2=2 sec
Activity at t=6 will be 1600(12)3
=200 C/s
correct answer is (3).

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