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

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

ChemistryChemical KineticsWBJEEWBJEE 2009

Options:

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

Solution:

2191 Upvotes Verified Answer

The correct answer is: $\mathrm{d} \operatorname{In} \mathrm{n} / \mathrm{dt}$

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

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