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The half life of a radioactive substance is 13 years. The decay constant is

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1.69 × 10^–9 S^–1

1.69 × 10^–10 S^–1

1.96 × 10^–9 S^–1

1.29 × 10^–7 S^–1

answer is C.

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Detailed Solution

$\begin{array}{l} T = 13 yrs = 13 \times 365 \times 86400 \sec \\ λ = \frac{0 .693}{T} = \frac{0 .693}{13 \times 365 \times 86400} \\ ∴ λ = 1 .69 \times 10^{- 9} \sec^{- 1} \end{array}$

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