A radioactive sample has {N_0} active atoms at t = 0 . If rate of disintegration at any time is R an

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13.Nuclei

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A radioactive sample has ${N_0}$ active atoms at $t = 0$. If the rate of disintegration at any time is $R$ and the number of atoms is $N$, then the ratio $ R/N$ varies with time as

A

B

C

D

Solution

(d) Rate $R = – \frac{{dN}}{{dt}}$ $ = \lambda \;{N_0}{e^{ – \lambda t}} = \lambda N$

==> $\frac{R}{N}$= $\lambda$ (constant)

$i.e.$ graph between $\frac{R}{N}$ and $t$, be a straight line parallel to the time axis.

Standard 12

Physics

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