Which is the correct relation between rate constant and half-life of first order reaction?

Which is the correct relation between rate constant and half-life of first order reaction?
  1. $\mathrm{k} \times \mathrm{t}_{1 / 2}=0.693$
  2. $\mathrm{t}_{1 / 2}=\frac{\mathrm{k}}{0.693}$
  3. $\mathrm{k} \times \mathrm{t}_{1 / 2}=\frac{1}{0.639}$
  4. $\mathrm{k} \times 0.693=\mathrm{t}_{1 / 2}$

Solution

$t_{1 / 2}=\frac{0.693}{k}$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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