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Q.

A radioactive sample has initial concentration N0 of nuclei. Select the correct statement(s)

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a

The activity R of the sample at any instant is directly proportional to the number of undecayed nuclei present in that sample at that time.

b

The number of decayed nuclei grows exponentially with time.

c

The number of undecayed nuclei present in the sample decays exponentially with time.

d

The number of decayed nuclei decreases exponentially with time.

answer is A, B, C.

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Detailed Solution

Number of undecayed nuclei N = N0-λt

Number of undecayed nuclei = N0-N = N0(1-e-λt)

Activity A = λN

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