Q12 / 160 · WBJEE 2009 · Chemistry

If $n_t$ number of radioatoms are present at time $t$, the following expression will be a constant :

  • A
    $\mathrm{n}_{\mathrm{t}} / \mathrm{t}$
  • B
    $\operatorname{In~}_{n_t / t}$
  • Correct answer
    C
    $\mathrm{d} \operatorname{In} \mathrm{n} / \mathrm{dt}$
  • D
    $\mathrm{tn}_{\mathrm{t}}$

Solution

$\frac{d N}{d t}=\lambda \mathrm{N} \Rightarrow-\frac{d \ln N}{d t}=\lambda Hence C

Hence, the correct answer is option: 'C'.

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