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The half-life of a radioactive element which has only 1 of its original mass leftafter elapsed of 60 days is:A. 30 days ⃝ B. 20 days ⃝C. 15 days ⃝ D. 12 days

Question

The half-life of a radioactive element which has only 1 of its original mass leftafter elapsed of 60 days is:A. 30 days ⃝ B. 20 days ⃝C. 15 days ⃝ D. 12 days

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Solution

The half-life of a radioactive element is the time it takes for half of the element to decay.

In this case, we know that only 1/4 of the original mass is left after 60 days. This means that the element has gone through two half-lives.

To find the length of one half-life, we simply divide the total time by the number of half-lives.

So, 60 days / 2 half-lives = 30 days per half-life.

Therefore, the half-life of the radioactive element is 30 days, which corresponds to option A.

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