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Q. Which of the following is not correct?
A \(t_{1 / 2}=\frac{0.693}{k}\)
B \(N=N_{0^{-k t}}\)
(C) \(\frac{1}{N}-\frac{1}{N_{0}}=\ln k t_{1 / 2}\)
D none of these

3 Answers

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Solution:
$$
t_{1 / 2}=\frac{0.693}{k} ; N=N_{0^{-(-k)}}
$$
$$
\begin{aligned}
&\ln \frac{N}{N_{0}}=-k t \\
&\Rightarrow k t=\ln \left(\frac{N_{0}}{N}\right) \\
&\therefore \frac{1}{N}-\frac{1}{N_{0}}
\end{aligned}
$$
\(=\ln k t_{1 / 2}\) is not correct
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