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Question

Physics Question on Atoms

In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life ?

A

0.693

B

0.63

C

0.5

D

0.37

Answer

0.63

Explanation

Solution

N = N0eλt=N1eλ/λ=N0e=0.37N0N_0e^{-\lambda t} = N_1 e^{- \lambda / \lambda} = \frac{N_0}{e} = 0.37 N_0
\therefore decayed = 63% (\because e = 2.718)