If ' f ' denotes the ratio | MODERN PHYSICS

JEE MAIN 2021

27-07-21 S1

Question

If ' f ' denotes the ratio of the number of nuclei decayed $\left(N_d\right)$ to the number of nuclei at $t=0\left(N_0\right)$ then for a collection of radioactive nuclei, the rate of change of ' $f$ ' with respect to time is given as : [ $\lambda$ is the radioactive decay constant]

Select the correct option:

$-\lambda\left(1-e^{-\lambda t}\right)$

$\lambda\left(1-e^{-\lambda t}\right)$

$\lambda \mathrm{e}^{-\lambda \mathrm{t}}$

$-\lambda e^{-\lambda t}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution