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My question is in the attached image. Please respond.

My question is in the attached image. Please respond.

Question Image
Grade:12

1 Answers

Sanju
106 Points
3 years ago
Sample 1 has a half-life of 1 hrs, so after 6 hrs no of half lives elapsed = 6 half-lives...
Sample 2  has a half-life of 2 hrs, so after 6 hrs no of half lives elapsed = 3 half-lives...
After 6 half lives, the fraction of sample 1 left is 1/(26) = 1/64 ...
The fraction of sample 2 left is 1/(23) = 1/8....
Since sample 1/sample 2 started out at 2/3, the ratio of sample 1/sample 2 at 6 hrs = [(1/64) / (1/8)]* [2/3] = [1/8]*[2/3] = 1/12...
Required ratio is 1:12   [Option #2 is the answer]

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