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The probability of nucleus to decay in t...

The probability of nucleus to decay in two mean lives is

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Half–life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half– lives is

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A radionuclide has a half life of 10 s. Which of the following statements are correct? (a) In a sample, probability that a nucleus will decay in next 10 s is 0.5. (b) In a sample, the probability that a nucleus which has survived first 10 s, will decay in next 10 s is 0.5. (c) The probability that a nucleus which has survived first 10 s, will decay in next 10 s is 0.25. (d) If a sample of radionuclide has 4 nuclei, two nuclei will decay in next 10 s.

If lambda is the decay constant of a nucleus, find the propability that a nucleus wil decay in time t and will not decay in time t .