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Question: A G.M. counter is used to study the radioactive process of first-order. In the absence of radioactiv...

A G.M. counter is used to study the radioactive process of first-order. In the 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 :

A

8 dps, 10 min

B

5 dps, 10 min

C

5 dps, 20 min

D

5 dps, 5 min

Answer

8 dps, 10 min

Explanation

Solution

There is an error of 3 dps

\ C0 = 20 dps

Ct = 10 dps

Thus, half – life = 10 minutes

In next 10 minutes Ct = 5 dps

\ recorded value with error = 8 dps