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  4. The rate of disintegration of a radioactive sample is R and the number of atoms present at any time t is N . When (R/N) is taken alone Y-axis and t is taken alone X-axis, the correct graph is

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Q. The rate of disintegration of a radioactive sample is $R$ and the number of atoms present at any time $t$ is $N$ . When $\frac{R}{N}$ is taken alone Y-axis and $t$ is taken alone X-axis, the correct graph is

AP EAMCETAP EAMCET 2019

Solution:

image
Law of radioactive decay is given as.
$\frac{d N}{d t}=-\lambda N$
where, $\frac{d N}{d t}=$
rate of disintegration
So, $R=-\lambda N $
$\Rightarrow \frac{R}{N}=-\lambda=$ constant
where, $\lambda=$ decay constant
So, the graph $\frac{R}{N}$ versus $t$ is as,