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Question

The counting rate observed from a radioactive source at t = 0 second was 1600 counts per second and at t = 8 seconds it was 100 counts per second. The counting rate observed as counts per second at t = 6 seconds will be

A
400
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B
300
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C
200
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D
150
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Solution

The correct option is C 200
By using A=A0(12)n100=1600(12)8T1/2116=(12)8T1/2T1/2=2 sec
Again by using the same relation the count rate at t = 6 sec will be A=1600(12)62=200.

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