Chemical Kinetics and Nuclear ChemistryHard

Question

A.G.M. counter is used to study the radioactive process of first-order. In absence of radioactive substance A, it counts 3 disintegration per second (dps). When A is placed in the G.M. counter, it records 23 dps at the start and 13 dps after 10 minutes. It records x dps after next 10 minutes and A has half-life period y minutes. x and y are :

Options

A.8 dps, 10 min
B.5 dps, 10 min
C.5 dps, 20 min
D.5 dps, 5 min

Solution

There is an error of 3dps (already exist)
Then    N0 = (23 - 3) = 20 dps
        Nt = 10 dps
The half life = 10 minutes
In next 10 minute Nt = 5 dps
Then value with error = (5 + 3) = 8 dps.

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