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Question

3 rutherfords of a radio active isotope of half-life equal to 3 days was received after 12 days. Initial isotope packed was

A
48rutherfords
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B
12rutherfords
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C
25rutherfords
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D
36rutherfords
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Solution

The correct option is A 48rutherfords
1 rutherford =106dps
Half life =3 days
After 12 days, 4 half-lives have passed,
Fraction of activity left =(12)4=116
Let the original amount of activity be x.
116×x=3 rutherfordsx=48 rutherfords

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