Question

If the number of nuclei in a radioactive sample at a given time is N, what will be the number at the end of two half-lives?​

Answer 1

Option D is correct - If the number of nuclei in a radioactive sample at a given time is N, the number at the end of two half-lives will be N/8.

Why is this option correct?

• The half-life of an element is the time in which half of the original number of nuclei decay.
• It is represented as t(1/2).
• The number of nuclei left after decay in the next half-life.
• A further amount of nuclei decay in the following half-life and the process continues.
• So, the number of nuclei reduces from N to N/2.

         So in the first half-life,

        N/2 to N/2

        in the second half-life

        N/4 to N/8.

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