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Question

Two samples of radioactive substances initially contain equal number of atoms. Their half life times are respectively 2 hours and 4 hours. The ratio of their disintegration rates after 12 hours is :

A
1:4
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B
1:8
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C
3:4
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D
2:3
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Solution

The correct option is B 1:8
In one half life the activity or disintegration rate is halved. After 12 hours first sample would have six half lives and the second sample would have 3 half lives. Ratio of disintegration would be 126:123 which is 1:8.

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