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  • A radioactive element is disintegrating having half life . The fractional change in nu

A radioactive element is disintegrating having half life 6.92 \mathrm{~s}. The fractional change in number of nuclei of the radioactive element during 10 \mathrm{~s} is
 

Option: 1

0.37


Option: 2

0.63


Option: 3

0.25


Option: 4

0.50


Answers (1)

best_answer

\mathrm{ N=N_0 e^{-\lambda t} }

\mathrm{ \therefore \quad \Delta \mathrm{N}=\mathrm{N}_0-\mathrm{N}=\mathrm{N}_0\left(1-\mathrm{e}^{-\lambda \mathrm{t}}\right) }

\mathrm{ \therefore \text { fractional change } \frac{\Delta \mathrm{N}}{\mathrm{N}}=\frac{1-\mathrm{e}^{-\lambda t}}{\mathrm{e}^{-\lambda \mathrm{t}}}=0.63 }

Hence option 2 is correct.


 

Posted by

Ritika Harsh

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