1.

Find the probability that the nucleus of 87Ra^221 undergoes decay after three half-lives, if its a radioactive substance which has a half-life of 6 days.(a) \(\frac {1}{6}\)(b) \(\frac {3}{2}\)(c) \(\frac {5}{6}\)(d) \(\frac {1}{2}\)The question was asked in examination.This key question is from Nucleus in chapter Nucleus of Physics – Class 12

Answer»

The correct answer is (c) \(\frac {5}{6}\)

BEST EXPLANATION: After one-half life, \(\frac {N_0}{2}\) sample remains and \(\frac {N_0}{2}\) decays.

After three half-lives, \(\frac {N_0}{6}\) sample remains and \(\frac {5N_0}{6}\) decays.

Hence the probability that a NUCLEUS undergoes decay after two half-lives is \(\frac {5}{6}\).


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